Question

Which best explains whether or not triangles RST and ACB are congruent?

The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the x-axis and a translation 2 units to the left.

The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the y-axis and a translation 2 units down.

The figures are not congruent. Point R corresponds to point A, but S corresponds to B and T corresponds to C.

The figures are not congruent. Point R does not correspond with point A.

Answer 1

A. The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the x-axis and a translation 2 units to the left.

Explanation:

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Answer 2

Answer: A

Well, the triangles are congruent. So we can eliminate C & D.

B is incorrect. This is because if you map triangle RST across the y-axis, it won't even be close to ABC. Even if you did move the triangle down 2 units, to wouldn't perfectly fit onto ABC.

A is correct because if you reflect it across the x-axis, RST will make the same shape as ABC. Moving it left by 2 spaces will make RST perfectly fit onto ABC.