Question

Polygon ABCDE is reflected across the line x = −2. Graph and label the image A’B’C’D’E’. Is m∠A = m∠A’? Explain. Construct the line of reflection and then construct the image. Select a point to add a label.

Answer 1

Answer: See graph and proof below

Step-by-step explanation:

Under the reflection about the line x=-2

$\begin{aligned}&A(-4,4) \longrightarrow A^{\prime}(0,4) \\&B(-3,3) \longrightarrow B^{\prime}(-1,3) \\&C(-3,2) \longrightarrow C^{\prime}(-1,2) \\&D(-5,1) \longrightarrow D^{\prime}(1,1) \\&E(-5,3) \longrightarrow E^{\prime}(1,3) \\&m < A=m < A^{\prime} \text { is true. }\end{aligned}$