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Triangle symbol is a copy and paste text symbol that can be used in any desktop, web, or mobile applications. This table explains the meaning of every triangle symbol. Just click on the symbol to get more information such as triangle symbol unicode...How do you find the new image of a point after a 90 degree clockwise rotation? , Define a rotation, Given the pre-image of the point (2,3), what is the image after a 270 degree clockwise rotation? , Given the pre-image of the point (4,-5), what it its image after a 270 degree counterclockwise rotation? rotation. Then give the coordinates of the vertices for AXY'Z'. 1. 1800 clockwise about vertex Z 2. 900 clockwise about vertex X 3. Triangle JKL has vertices J(—4, 4), 3), and L(—2, 1). Graph the figure and its rotated image after a clockwise rotation of 900 about the origin. Then give the coordinates of the vertices for triangle J'K'L'. 4. The vertices of triangle RST are R(-2, 5), S(4, 2), and T(1, -1). Find the vertices after triangle RST is rotated 90° counterclockwise about the origin. Find the vertices after triangle RST is rotated 90° counterclockwise about the origin.

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May 24, 2020 · Output : 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 Complexity Analysis: Time Complexity: O(n*n), where n is side of array. A single traversal of the matrix is needed.

- a. Triangle is rotated 90 counterclockwise about the origin to get b. Triangle is rotated 180 about the origin to get c. Triangle is dilated with a scale factor of 1 with the center at the origin to get d. Triangle is dilated with a scale factor of 5 with the center at 3, 4 to get 24.
- What is the rule for the transformation formed by a translation of 2 units to the left and 3 units up followed by a 90o counterclockwise rotation? (-3y, -2x) (x-2, y+3) [-(y+3), x-2] [-(y-2), x+3] Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the y-axis, producing an image triangle. Настройки за търсенето. Посетени сайтове. Разширено търсене.
- Nov 19, 2014 · A. Rotate rectangle A 90° counterclockwise about the origin, reflect it over the y-axis, and translate it 1 unit up. B. Translate rectangle A 7 units down, rotate it 180° about the point (2, -6), and translate it 8 units to the left.
- This is best observed when looking at the simple multiplications below: 4 · i = 4i 4i · i = −4 −4 · i = −4i −4i · i = 4 9 Clearly multiplying by i is causing a 90 counterclockwise rotation (dividing by i would create a 90 clockwise rotation): From this it appears that we can represent i as a transformation matrix: 0 −1 i= 1 0 We ... Reflect the triangle in the y-axis, Is the image similar to the original triangle? Justify your answer. d. Rotate the original triangle 900 counterclockwise about the origin. Is the image similar to the original triangle? Justify your answer. C0MMunicate Your Answer 3. When a figure is translated. reflected, rotated, or dilated in the plane, is ...
- May 24, 2020 · Output : 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 Complexity Analysis: Time Complexity: O(n*n), where n is side of array. A single traversal of the matrix is needed.
- We delete the squares, basically, and focus on 45 45 90 triangles DRI, DEA REN. Let us de ne X as the intersection of DR and (DAE). The spiral similarity between DEA and REN gives a rotation 4RDE ˘=4NAE with RD = NA = 1= p 2 and DE = EN = 2. By the displayed rotation we have NA ?RD, so if we let X be their intersection, we get a right angle. 2) an isosceles triangle 3) a right triangle 4) a cone 2 The vertices of JKL have coordinates J(5,1), K(−2,−3), and L(−4,1). Under which transformation is the image J ′K′L′ not congruent to JKL? 1) a translation of two units to the right and two units down 2) a counterclockwise rotation of 180 degrees around the origin
- A. Rotate points A—E 900 Counterclockwise about the origin. Complete the table Date and 1800 Class Point Original Coordinates Coordinates After a 900 Rotation (0,0) (24) B. Rotate points counterclockwise about the origin so that they rota e a Of 1800. Complete the table showing th coordinates of points which are the images of points A Ckßbff-
- If triangle ABC were rotated 90 degrees counterclockwise about the orgin, what would be the coordinates of B'?
- Right triangle JKL is graphed on a coordinate grid. ... Rectangle A is rotated counter-clockwise about the origin to form rectangle D. Graph and label rectangle D on ...
- says the triangles rotated 90 degrees clockwise. That would be the same is rotating 270 degrees counterclockwise. Transformational matrix for this is gonna be multiplied by 01 negative 10 We don't know our original matrix, but we do know that our final matrix and, uh, number 26 eyes gonna be f...Roughly plot the original and resultant triangles. Rotation About the Origin To rotate an object about the origin (0,0), we specify the rotation angle ?. Positive and negative values for the rotation angle define counterclockwise and clockwise rotations respectively. The followings is the computation of this rotation for a point: x' = x cos ...
- Apr 12, 2013 · 29. The coordinates ofthe vefilces of triangle ABC are 9), B(—3, 6), and 3). Triangle ABC is dilated by a scale factor of — and then rotated counterclockwise about the origin by 1800 to create triangle PQR On the coordinate grid, draw triangle ABC and triangle PQR. -10 -S -6 -4
- Based on the triangle to ... (1, 0) and rotate the appropriate number of degrees counterclockwise. ©Top Teacher Test Prep, LLC 2011 Triangle XYZ is rotated 90° counterclockwise about the origin.

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How do you find the new image of a point after a 90 degree clockwise rotation? , Define a rotation, Given the pre-image of the point (2,3), what is the image after a 270 degree clockwise rotation? , Given the pre-image of the point (4,-5), what it its image after a 270 degree counterclockwise rotation? c. a rotation clockwise with center of rotation d. a rotation counterclockwise with center of rotation ____ 45. Describe the transformation you can use to move the solid figure onto the dashed figure. a. reflection c. translation b. dilation d. rotation ____ 46. A rotation, or turn, is a transformation in which a figure is rotated about a point called the Center of rotation. The number of degrees a figure rotates is the angle of rotation. In a rotation, the original figure and its image are congruent. _ Identifying a Rotation EXAMPLE You must rotate the puzzle piece 2700 clockwise Learn how to draw the image of a given shape under a given rotation about the origin by any multiple of 90°.Triangle B has performed two transformations. It is rotated 90° and translated. Triangle B is a rotation of triangle A because it turned 90°. It was also slid up and to the right, making a translation. When we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y) and graph the rotated figure. Let us look at some examples to understand how 180 degree rotation about the origin can be done on a figure. Example 1 :

See full list on informit.com In other words, if it was rotated 45 degrees, the button would likely be perpetually depressed and wouldn't work properly or the case on it straight up wouldn't close depending on tolerances. I get the point of this sub and post, I just thought I'd ruin the "not interesting" part with some information that's at least slightly interesting. For this angle, we inscribe a 45-45-90 right triangle in the circle with the vertex of the 45 4 angle at the origin. . Using the values from the table Special Right Triangles, the inscribed 45-45-90 triangle is now completely labeled as: The exact values of the sin 4 , cos 4 and the tan 4 : sin 4 = 2 2, cos 4 = 2 2, tan 4 = 1 x y

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Give the equation of the line y = -x – 2 after a rotation about the origin through the given angle. Then write the equation of the new line. a. 900 b. 1800 c. 2700 5. Triangle FGH with vertices F(-3, 2), G(-4, -1), and H(-6, -1). A) Rotate 90˚ counterclockwise centered at (0, 2). B) Rotate 180˚ clockwise centered at G.

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2) an isosceles triangle 3) a right triangle 4) a cone 2 The vertices of JKL have coordinates J(5,1), K(−2,−3), and L(−4,1). Under which transformation is the image J ′K′L′ not congruent to JKL? 1) a translation of two units to the right and two units down 2) a counterclockwise rotation of 180 degrees around the origin For Exercises 1 and 2, graph XYZ and its image after each rotation. Then give the coordinates of the vertices for X'Y'Z'. 1. 180° clockwise about vertex Z 2. 90° clockwise about vertex X 3. Triangle JKL has vertices J(–4, 4), K(–1, 3), and L(–2, 1). Graph the figure and its rotated image after a clockwise rotation of 90° about the origin. angle_to() is flipping clockwise and counterclockwise (when I've tried to fix it, I end up getting wrong answers altogether), and in the clockwise direction, rotating and calculating in different directions. >>> print angle_to((100,100), (25,25)) # should be 225 135.0 >>> print angle_to((100,100), (25,25), 45)...The following figure shows point Z, angle AZA’, and a little counterclockwise arrow that indicates the rotational motion that would move triangle ABC to triangle A’B’C’. If you hold Z where it is and rotate the image counterclockwise, triangle ABC will spin to where triangle A’B’C’ is now. Translating a Triangle in a Coordinate Plane Work with a partner. a. Use dynamic geometry software to draw any triangle and label it ABC. b. Copy the triangle and translate (or slide) it to form a new fi gure, called an image, A′B′C′ (read as “triangle A prime, B prime, C prime”). c. Many translated example sentences containing "rotated counterclockwise 90" - Russian-English dictionary and search engine for Russian translations. To rotate screen, place hands on each side of the monitor screen and turn clockwise from Landscape to Portrait or counterclockwise from Portrait...Oct 11, 2016 · The direction of a rotation can be either clockwise or counterclockwise. From this point forward, all rotations will be counterclockwise, unless stated clockwise counterclockwise otherwise. Guided Practice l. Triangle PQR has vertices P (1, 1), Q(4, 5), and R(5, 1). Graph APQR and its image after a counterclockwise rotation 900 about the origin. Learn how to draw the image of a given shape under a given rotation about the origin by any multiple of 90°.Jan 20, 2018 · Convert the quaternion to a homogeneous rotation matrix. 3) Form a rotation about +z to put C1 in the x-y plane 4, 5, 6) Repeat steps 1 to 3 for the second triangle The matrix derived in steps 1 to 3, times the inverse of the matrix in steps 4 to 6, maps triangle 1 to triangle 2. Easy for a mathematician, but a struggle for this engineer. May 05, 2015 · Rotate the top cube Â 90Â° counterclockwise, and rotate the bottom cube180Â°. Rotate the top cube Â 90Â° counterclockwise, and rotate the bottom cube Â 90Â° clockwise. 3.

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e. Triangle NPQ with coordinates N (12, 23), P (1, 2), and Q (9, 0) is rotated 180° about the origin. Write In your own words, explain how each rotation about the origin affects the coordinate points of a figure. a. a counterclockwise rotation of 90° b. a clockwise rotation of 90° c. a rotation of 180° Remember A rotation “turns” a ... counterclockwise when facing the end opposite the drive.† The standard direction of rotation for all alternating-current single-phase motors, all synchronous motors, and all universal motors shall be counterclockwise when facing the end of the machine opposite the drive.* MG 1-2.25 Reversal Of Rotation, Polarity And Phase Sequence The second rotation is counterclockwise (if we look down the axis) through an angle about the -axis. The new frame has coordinates , , , and unit vectors , , . By analogy with Equation ( 8.45 ), the transformation of coordinates can be represented as follows: See full list on informit.com A rotation, as the name indicates, simply involves "spinning" the figure around some point (this center of rotation can be either inside or outside the figure). Two rotations are shown below: the leftmost example has a center of rotation inside the figure, and the rightmost example has a center of rotation outside the figure. Counterclockwise rotations are considered positive, and clockwise rotations are called negative (See Fig 1). The xy-axis system itself is subdivided into four quadrants, each defined by the x- and y-axes. a counterclockwise direction, its rotation is 90 degrees and its angle measurement is 90°.Find the image of the segment or triangle. 15. 90° clockwise rotation of BC about O DE 16. 90° clockwise rotation of JD about O KF 17. 90° counterclockwise rotation of QL about O PK 18. 90° counterclockwise rotation of OM about O OQ 19. 180° rotation of 'DEF about O 'HAB 20. 180° rotation of square NJPO about O QLMO Graph the figure and its rotated image after a clockwise rotation of 1800 about the origin. Then give the coordinates of the vertices for triangle R'S"T'. Quadrilateral KLMV has vertices K(2, 0), L(4, 0), M(5, -2), and , Graph the figure and its rotated image after a counterclockwise rotation of 900 about the origin. Then give The Bermuda Triangle, also known as the Devil's Triangle, is a loosely defined region in the western part of the North Atlantic Ocean where a number of aircraft and ships are said to have disappeared under mysterious circumstances. Most reputable sources dismiss the idea that there is any mystery.the original figure to its rotation by drawing the appropriate right angles to represent the beginning and ending positions of the endpoints of the segment. Repeat this process using a 90 degree angle in the opposite direction. Be sure that students understand the meaning of rotating counterclockwise versus rotating clockwise.

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The triangle symbol type rotated 90° counterclockwise. See d3.symbolTriangle. # d3.symbolTriangleRight <> The triangle symbol type rotated 90° clockwise. See d3.symbolTriangle. # d3.symbolDiamondAlt <> The diamond symbol type laid horizontally. See d3.symbolDiamond. # d3.symbolDiamondSquare <> The square symbol type rotated 45°. See d3 ... was rotated 90° counterclockwise about the origin. b. DEF. was rotated 180° counterclockwise about the origin. c. DEF. was translated over the . x-axis. d. DEF. was translated over the . y-axis. 20. If the point ( −5, 8) is rotated 90° counterclockwise about the origin, what will be the coordinates of the rotated point? a. (5, −8) b ...

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Nov 27, 2015 · An equilateral triangle has equal sides and equal angles. If you rotate an equilateral triangle by 360/3=120^o, it will always look exactly the same (symmetric). So, rotating in either clockwise or counterclockwise 120^o will result in the exact same triangle. Rotational symmetry has a center of symmetry (a point) that you use to rotate the shape. 180* * Rotations can be done clockwise or counterclockwise (MOSTLY COUNTERCLOCKWISE!) In the above figure, determine the order and angle of rotation. What is the rule for the transformation formed by a translation of 2 units to the left and 3 units up followed by a 90o counterclockwise rotation? (-3y, -2x) (x-2, y+3) [-(y+3), x-2] [-(y-2), x+3] Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the y-axis, producing an image triangle. The vertices of triangle RST are R(-2, 5), S(4, 2), and T(1, -1). Find the vertices after triangle RST is rotated 90° counterclockwise about the origin. Find the vertices after triangle RST is rotated 90° counterclockwise about the origin. Angle Relationships in Triangles According to the Triangle Sum Theorem, the sum of the angle measures of a triangle is 1808. m J m K m L 62 73 45 1808 The corollary below follows directly from the Triangle Sum Theorem. Use the figure for Exercises 1 and 2. 1. Find m ABC. _____ 2. If it spins counter-clockwise, or 'lefty', it will move upward, or out of the page. If you placed the dipole in Fig 8-7 into the field shown in Fig 8-6 (which is what I think they were referring to on pg. 122), the dipole would rotate CW, meaning the torque acting on the dipole is into the plane of the page. Example 8-6a is another good example. Triangle GHI is shown on the coordinate plane. 2 y x 2 4 6 6 24 22 26 24 22 0 2 4 6 G I H a.Draw the 1808 counterclockwise rotation of triangle GHI about the origin. b. Complete the table. Coordinates of GHI Coordinates of G9H9I9 G9 H9 I9 c. Describe the rotation using symbolic representation. 39. Reason abstractly. The vertices of RST are

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2. The vertices of ^JKL have coordinates J(5;1), K(2;3), and L(4;1). Under which transformation is the image ^J0K0L0not congruent to ^JKL? A. a translation of two units to the right and two units down B. a counterclockwise rotation of 180 degrees around the origin C. a re ection over the x-axis D. a dilation with a scale factor of 2 and ... Which regular polygon has a minimum rotation of 45° to carry the polygon onto itself? ... transformation will the triangles ... followed by a 90° counterclockwise ... Prove that the medians from the base angles of an isosceles triangle are congruent. Help-brainliest y or n for the rquations if there equal to 12x=5!! Capella is the 6th brightest star in the sky and is 41 light-years from earth. How many miles will light from Capella travel...Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the origin but it is important to understan... Geo-Activity above, point C is the center of rotation. Rays drawn from the center of rotation to a point and its image form an angle called the angle of rotation . Rotations can be clockwise or counterclockwise. center of rotation rotation 11.8 Rotations 1 Draw an equilateral triangle. 2 Copy the triangle onto a piece Label as shown. Draw a of ...

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A. Yes. Triangle STU was rotated clockwise 270° about point T, translated 7 units to the right, and translated 6 units down to create triangle WXY. B. Yes. Triangle STU was rotated clockwise 270° about point T, translated 4 units to the right, and translated 2 units down to create triangle WXY. C. No. Triangle STU is not congruent to triangle ... Right Triangle. Practice Problems. Triangles can be classified by various properties relating to their angles and sides. The most common classifications are described on this page.Rotating counterclockwise 240° (360°-120°) is equivalent to a 120° clockwise rotation. ... a triangle has a base that is twice the length of its height. If the ... The triangles are congruent because ABC can be mapped to PQR by a rotation: (x, y) → (-y, x). ... 90° rotation counterclockwise with center of rotation (0, 0 ... Rotational symmetry has a center of symmetry (a point) that you use to rotate the shape. 45 18T * Rotations can be done clockwise or counterclockwise (MOSTLY COUNTERCLOCKWISE!) In the above figure, determine the order and angle of rotation. 3100 q DO = OIDO Rotation Patterns. Lesson 9 Moves in Parallel. Lesson 10 Composing Figures. Lesson 11 What Is the Same? Lesson 12 Congruent Polygons. Lesson 13 Congruence. Lesson 14 Alternate Interior Angles. Lesson 15 Adding the Angles in a Triangle. Lesson 16 Parallel Lines and the Angles in a Triangle. Lesson 17 Rotate and Tessellate. Practice Problem Sets ... (2) You rotated clockwise $45$ degrees with that rotation. $\endgroup$ – John Dec 8 '14 at 20:37 add a comment | 3 Answers 3 c. The rotation of AEFG in palt (a) is an example of a 900 clockwise rotation. The term "clockwise" refers to a rotation that follows the direction of the hands of a clock, namely U. A rotation m the opposite direction (U) is called "counterclockwise". Perfonn the rotation again noticing the starting and ending orientation of the (+).

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To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.The triangle symbol type rotated 90° counterclockwise. See d3.symbolTriangle. # d3.symbolTriangleRight <> The triangle symbol type rotated 90° clockwise. See d3.symbolTriangle. # d3.symbolDiamondAlt <> The diamond symbol type laid horizontally. See d3.symbolDiamond. # d3.symbolDiamondSquare <> The square symbol type rotated 45°. See d3 ... A rotation is a transformation in which a figure is turned about a fixed point called the center of rotation. Rays drawn from the center of rotation to a pre-image point to its image form the angle of rotation. Rotate ΔABC 900 clockwise about the origin. A B C A B C Rotate ΔABC 900 counterclockwise about the origin. Rotate ΔABC 1800 rotation. The angle of rotation tells you the number of degrees through which points rotate around the center of rotation. The figure shows a 120° counterclockwise rotation around point P. When no direction is specified, you can assume the rotation is in the counterclockwise direction. G-CO.1.5 Chapter 9 383 Lesson 3 rotate clockwise 45 degrees around the origin. rotate counterclockwise 45 degrees around the origin. rotate clockwise 180 degrees around the origin . rotate counterclockwise 90 degrees around the origin . 2. Which statements can explain why triangle ABC is congruent to triangle EDC? Select each correct answer. Figure 1 is rotated counterclockwise and then translated to create figure 2. By how many degrees is figure 1 rotated? 24. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet. The shape below is a regular hexagon. A tessellation can be made using a regular hexagon and a series of rotations. What is the measure, in degrees, The rotating triangle in Trigon is the pivoting center of this exciting action game! You control the action - simply match the color to the descending lines before they touch the triangle. Sound easy? It is when you begin, but the speed increases as you rack up points and you'll need to act fast and stay...Figure 1 is rotated counterclockwise and then translated to create figure 2. By how many degrees is figure 1 rotated? 24. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet. The shape below is a regular hexagon. A tessellation can be made using a regular hexagon and a series of rotations. What is the measure, in degrees, Rotate 20° counterclockwise 4 times. Rotate 25° counterclockwise 4 times. Rotate 20° counterclockwise 5 times. Rotate 25° counterclockwise 5 times. 2. Chandra’s Rotation Rule Choose a vertex on the shape to be the centre of rotation. Rotate 25° counterclockwise 10 times. Draw the logo using the rotation rule. Label the centre of rotation. Figure 1 is rotated counterclockwise and then translated to create figure 2. By how many degrees is figure 1 rotated? 24. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet. The shape below is a regular hexagon. A tessellation can be made using a regular hexagon and a series of rotations. What is the measure, in degrees, Now I want to check that these points from startPoint to endPoint are moving in clockwise or anticlockwise direction to create the polygon. If you have a math library you can use, the cross product can be used to calculate whether the 3 points are in a clockwise or counterclockwise...

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Triangle RST has vertices R(-4, 4), S(-1, 2), and T(-3, 0). Triangle RST is rotated 360° clockwise using the origin as the center of rotation. Which graph shows the image of triangle RST after the rotation? Dec 13, 2010 · In the diagram, A, B, C are the vertices of the triangle, while a, b, c are the lengths of the opposing sides. If x is defined as the sum of the lengths of the two longest sides of the triangle while y is an arbitrarily-chosen non-negative "padding factor", then the constant-width roller curve will be constructed from the following six circular ...

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Learn how to draw the image of a given shape under a given rotation about the origin by any multiple of 90°.3 7 (.28) Triangle 4 7 (.28) Square 5 SOUTHCO® Tubular key 6 8 (.32) Hex recess 9 Slotted recess 10 16.4 (.64)8 (.32) Square 11 Railway standard 15 Bellcore 216 R Rotation 1 Type A clockwise to latch Offset cam, 22 reversedType B counter-clockwise to latch H Head Styles R Rotation G Grip Minimum Maximum Cam Type 1 32.2 (1.26) Deep offset cam ... c) Show that ⧍JKL ⧍LMJ d) Show that ⧍JKL ⧍JLM 12. Which transformation of ⧍ HIJ does NOT result in a congruent triangle a) A reflection across the x-axis, followed by a rotation of 180o about the origin Prove that the medians from the base angles of an isosceles triangle are congruent. Help-brainliest y or n for the rquations if there equal to 12x=5!! Capella is the 6th brightest star in the sky and is 41 light-years from earth. How many miles will light from Capella travel...Unit 5 notes Transformations.notebook 16 Rotations When describing a rotation, your description should include: •Amount of rotation: Can be in degrees (e.g., 90) or fractions

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Solving right triangles. This is a topic in traditional trigonometry. It does not come up in calculus. Now, the triangle formed by the lighthouse and the distance d of the boat from the lighthouse, is right-angled. And since the angle of depression is 6°, then the alternate angle is also 6°...Example. .arrow { border: solid black; border-width: 0 3px 3px 0; display: inline-block; padding: 3px; } .right { transform: rotate(-45deg); -webkit-transform: rotate(-45deg)Quadrants are always counted counter-clockwise, as is the default rotation of angular velocity ω (omega). Now we inscribe a triangle in the first quadrant (that is, where the x- and y-axes are assigned positive values) and let one leg of the angle be on the x-axis and the other be parallel to the y-axis. It is reflected over the y-axis, and then rotated 180 clockwise about the origin. In what quadrant is the image after the combined transformation? F quadrant I H quadrant III G quadrant II J quadrant IV ____ 11. A triangle has coordinates . If the triangle is reflected across the y-axis, what are the new coordinates of the triangle? A B +13 pts. Answered. Triangle JKL is rotated 45° counterclockwise using the origin as the center of rotation. On a coordinate plane, triangle J K L has points (negative 2, 0), (0, negative 4), (negative 3, negative 5). Which graph shows the location of triangle J'K'L'?For Exercises 1 and 2, graph ∆XYZ and its image after each rotation. Then give the coordinates of the vertices for ∆XʹYʹZʹ. 1. 180° clockwise about vertex Z 2. 90° clockwise about vertex X 3. Triangle JKL has vertices J(-4, 4), K(-1, 3), and L(-2, 1). Graph the figure and its rotated image after a clockwise rotation of 90° about the ...