Question

Consider the reflection of ΔABC across the line of reflection, .

(picture)
Which statements must be true? Check all that apply.

-A'A = C'C
-C'Q = QC
-⊥ A'A
-C'C ⊥ B'B
-A'A || B'B
-m∠TRB = 90°

Answer 1

C'Q = QC ; ⊥ A'A ; A'A || B'B ; m∠TRB = 90°

Explanation:

Each pre-image point is the same distance from the line of reflection as the image point. Therefore C'Q = QC.

Lines of reflection are perpendicular to pre-image and image points; this makes the third statement true.

Lines connecting pre-image points to image points are parallel; thus A'A || B'B.

Since lines of reflection are perpendicular to pre-image and image points, the sixth statement is true.

Answer 2

2,3,5,6

Explanation:

2,3,5,6