Question

Determine the rigid transformations that will map Δabc to Δxyz. Which of the following sequences of transformations will achieve this?

1) Translate vertex b to vertex z; reflect Δabc across side ab.
2) Translate vertex x to vertex c; rotate Δxyz to align the sides and angles.
3) Reflect Δabc across side ab; translate vertex c to vertex x.
4) Translate vertex x to vertex a; rotate Δxyz to align the sides and angles.

Answer 1

The sequence of transformations that will map Δabc to Δxyz is translating vertex b to vertex z and reflecting Δabc across side ab.

Step-by-step explanation:

The sequence of transformations that will map Δabc to Δxyz is:

Translate vertex b to vertex z

Reflect Δabc across side ab

So, Option 1) Translate vertex b to vertex z and reflect Δabc across side ab will achieve this.