Question

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

b. m∠q = \\(\square\\)°
(type an integer or a decimal.)

Explanation:

Step1: Recall translation property

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

Step2: Apply the property to angle Q

Since \( \triangle Q'R'S' \) is a translation of \( \triangle QRS \), corresponding angles are equal. So \( m\angle Q' = m\angle Q \).

Step3: Substitute the given angle measure

Given \( m\angle Q = 67.5^\circ \), so \( m\angle Q' = 67.5^\circ \).

Answer:

\( 67.5 \)