Question

Triangle A B C is reflected across line m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated about point A prime to form triangle A prime B double-prime C double-prime What is the composition of transformations mapping △ABC to △A'B''C''? The first transformation is . The second transformation is . △ABC is △A'B'

Answer 1

Triangle A B C is reflected across line m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated about point A prime to form triangle A prime B double-prime C double-prime

What is the composition of transformations mapping △ABC to △A'B''C''?

The first transformation is

✔ a reflection across m

.

The second transformation is

✔ a rotation about A'

.

△ABC is

✔ congruent to

△A'B''C''.

Explanation:

Answer 2

1. reflection across line m
2. rotation about point A'

Explanation:

The problem statement tells you exactly what the transformations are.

The first transformation is reflection across line m.

The second transformation is rotation about point A'.

_____

These are both rigid transformations, so ΔABC ≅ A'B''C''.