Question

triangle qrs

Explanation:

Step1: Identify transformation property

Translations preserve angle measures.

Step2: Apply property to find $\angle Q'$

Since $\angle Q = 67.5^\circ$, $\angle Q' = \angle Q$

Answer:

a. The image $\triangle Q'R'S'$ has vertices $Q'(5,5)$, $R'(9,9)$, $S'(7,11)$ (translated 2 units right and 2 units up, matching the given graph).
b. $m\angle Q' = 67.5^\circ$