Middle School

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Rectangle WXYZ is rotated by 90° clockwise about vertex X to create a new rectangle WXYZ. Based on the definition of rotation, which of the following statements are true? Select all that apply.

A. m∠WXW = 90°
B. m∠XYZ = 90°
C. YZ is parallel to YZ
D. YZ is parallel to WX

Answer :

Answer:

m2WXW-90 and YZ parallel to YZ

Step-by-step explanation:

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Rewritten by : Barada

Based on the definition of rotation, the following statements are true:

A. m∠W'X'W = 90°

B. m∠X'Y'Z' = 90°

D. Y'Z' is parallel to W'X'.

What is a rotation?

In Mathematics and Euclidean Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying either a rotation of 90° clockwise or a rotation of 270° counterclockwise to the coordinate of rectangle WXYZ, the coordinate of its image would be modeled by (x, y) → (y, -x).

Since rectangle WXYZ was rotated by 90° clockwise about vertex X to create rectangle WXYZ, we can logically deduce the following true statements;

m∠W'X'W = 90°

m∠X'Y'Z' = 90°

Y'Z' is parallel to W'X'.

Read more on rotation here: brainly.com/question/28854313

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Complete Question:

Rectangle WXYZ is rotated by 90° clockwise about vertex X to create rectangle W'X'Y'Z' Based on the definition of rotation, which of the following statements are true? Select all that apply

A. m∠W'X'W = 90°

B. m∠X'Y'Z' = 90°

C. Y'Z' parallel to YZ

D. Y'Z' is parallel to W'X'.