Question

the vertices of △qrs are q(3,3), r(7,3), and s(5,8)
a. graph and label the image of △qrs after a tra
b. if the m∠q = 67.5°, what is the m∠q?
click the icon to view △qrs.

Explanation:

Part b

Step1: Recall Transformation Property

A translation is a rigid transformation, which means it preserves the shape and size of the figure, including the measures of angles.

Step2: Apply the Property to Angle Q

Since the transformation (translation) preserves angle measures, the measure of \(\angle Q'\) should be equal to the measure of \(\angle Q\). Given \(m\angle Q = 67.5^{\circ}\), then \(m\angle Q'= 67.5^{\circ}\).

Answer:

\(67.5^{\circ}\)