Question

yarbrough, jeremey
mp5d 2025 - 2026 8th math formative 5
1 of 10
a quadrilateral wxyz contains ∠wxy where the measure of ∠wxy = 92°. once rotated 270° about the origin and translated 2 units up, what is the measure of ∠wxy?
○ 118°
○ 88°
○ 92°
○ 108°

Explanation:

Step1: Recall transformation properties

Rotations and translations are rigid transformations. Rigid transformations (rotations, translations, reflections) preserve the measures of angles.

Step2: Apply the property

Since rotating the quadrilateral \(270^\circ\) about the origin and then translating it 2 units up are both rigid transformations, the measure of \(\angle W'X'Y'\) will be equal to the measure of \(\angle WXY\). Given \(\angle WXY = 92^\circ\), so \(\angle W'X'Y'= 92^\circ\).

Answer:

\(92^\circ\) (corresponding to the option with \(92^\circ\))