Question

Triangles XYZ and ABC are congruent. The side length of each square on the grid is 1 unit. Which of the following sequences of transformations maps triangle XYZ onto triangle ABC?

a) Sequence A: Translation 2 units right and 1 unit up, then a reflection over line AC.
b) Sequence B: Translation 6 units right and 6 units up, then a 180° rotation about point B.
c) Both sequences A and B.
d) Neither sequence A nor B.

Answer 1

The correct sequence of transformations is sequence A: Translation 2 units right and 1 unit up, then a reflection over line AC.

Step-by-step explanation:

The correct sequence of transformations that maps triangle XYZ onto triangle ABC is sequence A: Translation 2 units right and 1 unit up, then a reflection over line AC.

Here's a step-by-step explanation:

1. Translate triangle XYZ 2 units to the right and 1 unit up.
2. Reflect the translated triangle over line AC.

This sequence of transformations will result in triangle XYZ being congruent to triangle ABC.