Question

A quadrilateral WXYZ contains wxy where measure of wxy=92 degrees. Once rotated 270° about the origin and translated 2 units up, what is the measure of W'X'Y'?


A. 108 degrees

B. 98 degrees

C. 92 degrees

D. 88 degrees

Answer 1

Answer:

C. 92 degrees

Step-by-step explanation:

Given that the $\angle{wxy}=$92° which is one of the angles of the quadrilateral WXYZ

The quadrilateral is first rotated by 270° about the origin and then translated 2 units up, the new position of the quadrilateral is W'X'Y'Z'.

The shape of the quadrilateral is remained unchanged due to rotation and translation, so all the angles of the final quadrilateral W'X'Y'Z' is the same as the angles of the given quadrilateral WXYZ.

So,$\angle{w'x'y'}= \angle{wxy}$

By using the given value,

$\angle{w'x'y'}=$ 92°

Hence, option (C) is correct.

Answer 2

Rotating and translating quadrilateral WXYZ would not change its angle measure.

The measure of W'X'Y is (c) 92 degrees

The given parameters are:

$\mathbf{WXY = 92^o}$

Translation and rotation are rigid transformations, and they do not alter the angle measure of the shape being transformed.

This means that: angles WXY and W'X'Y are congruent

i.e.

$\mathbf{WXY = W'X'Y}$

So, we have:

$\mathbf{W'X'Y = 92}$

Hence, the true option is (c) 92 degrees

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