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Trapezoid ABCD is rotated 90° clockwise. What rule shows the input and output of the rotation, and what is the new coordinate of A′?

(x, y) → (−x, −y); A′ is at (5, −1)
(x, y) → (−y, x); A′ is at (−1, −5)
(x, y) → ( y, −x); A′ is at (1, 5)
(x, y) → (x, −y); A′ is at (−5, −1)

Respuesta :

Answer:

Step-by-step explanation:

(x, y) → ( y, −x); A′ is at (1, 5)

When you rotate for clockwise x changes. So l believe it should actually be -1,5, because x has to be negative right, and y which is 5 stays 5.

The new coordinate of A is (y, -x) = (1, 5).

What is a rotation on graph?

A rotation is a transformation that turns a figure on the coordinate plane a certain number of degrees about a given point without changing the shape or size of the figure.

What is the rule for rotation 90 degrees clockwise?

When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y,-x) and graph the rotated figure.

According to the given question

We have a trapezoid ABCD

And the coordinate of A is (x, y).

If the trapezoid is rotated at 90 degree then the coordinate points (x, y) of A changes to (y, -x). That is [tex]A^{'}[/tex] will be (1, 5).

Hence, the new coordinate of A is (y, -x) = (1, 5).

Learn more about rotation on a graph here:

https://brainly.com/question/12091224

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