Give the rule for the composition of two 180 degree rotations with different centers A and B. We know that the order of rotations matters.

Q: What are the coordinates of the image of trapezoid ABCD after a 90° rotation about the origin?

A: The image of the trapezoid ABCD after 90˚ rotation about the origin :

Q: 6. Write the rule to describe the rotation. I' A I A'

A: Any point in the cartesian coordinate system is represented by the ordered pair: x, y. Start from…

Q: b Please convert the rectangular coördinates (5 5) and (-2 -2/3) to polar cOörd

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Q: instead: (:) · ()- = ac – bd. a) Suppose that we also define a hyperbolic analogue of a rotation,…

A: Since you've asked multiple questions, as per the answering guidelines we are supposed to answer the…

Q: Draw the shape of the following points {a(0,0), b(4,3), c(6,0),d(8,3),f(12,0)}, after that perform…

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Q: A rectangle in Quadrant I rotates 270° counterclockwise. In which quadrant will the transformation…

A: We know that, If the rectangle in Quadrant l is rotated 90° counter-clockwise, then it transforms to…

Q: What do I do after substituting the expressions for x and y from the rotation formulas into the…

A: The rotation formulas for co-ordinates are if the coordinate is (x,y) then rotate the axis into 90°…

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

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Q: Which polar coordinate pair corresponds to the same point as (-1,)? © (1,4) (1, ²) o None of the…

A: To find the polar coordinate pair that corresponds to the same point as .

Q: Suppose that A and B are rotations of 180° about the points a and b,respectively. What is A followed…

A: Let Let A be the rotation of 180 degree about point a. Then a is midpoint of P and f(P). It follows…

Q: Find the image of (2, –2) after a clockwise (active) rotation about the origin by an angle 0 = 1/4.…

A: Find the image of (2,-2)?

Q: 1. Give the 2 x 2 matrix that represents the 45° clockwise rotation about the origin.

A: Solve the following

Q: Determine the coordinate of a 3D point (100.0, 29.0, -79.5) after rotating 60° across Y-axis, given…

A: Given:                       point: A100.0,29.0,-79.5                Rotation: θ = 60° across…

Q: In the graph, indicate which point is the image: Example: Of B under a -90° (clockwise) rotation…

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Q: Which of the following shows a 90° counterclockwise rotation of the blue figure? MAY tv 19 MacBook…

A: (A) If we rotate the image in option (A) , in counter clockwise direction , we get following image:…

Q: 5. For each of the linear transformations of R2 below, determine two linearly independent eigen-…

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Q: For each set of Polar coordinates (r, 0), match the equivalent Cartesian coordinates (z, y). Don't…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the coordinates of rotation of point () by an angle /2 a. -4 b. -4 с. 1 4. d. -1 4 77 7-

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Q: Compute the product of C(90°)B(180°)A(−90°) using the points A(6,2), B(1, 2) and C(6,-3). What are…

A: Given: The product of rotations, C90°B180°A-90° and the points A6,2, B1,2 and C6,-3.   To determine:…

Q: I. Refer to c. Write the rotation algebraically. (X,y)> g. Refer to d. Write the algebraic…

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Q: Use the diagram below. If KLM- >K'L'M' by a 180 degree rotation around the origin. What are the…

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