Question

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A reflection maps AABC onto AXYZ. List the corresponding congruent pairs of angles of the two triangles.

Answer 1

In triangle ABC, the first angle is A. In triangle XYZ, the first angle is X. That should make sense since angles A and X are both vertices in both triangles. Thus:

∠A≅∠X

If we refer to the picture, angles Y and C are both base angles, and since they are reflected, they correspond:

∠C≅∠Y

Lastly, angles B and Z are reflected, thus they must be corresponding:

∠B≅∠Z

So, the second option is correct.

Answer 2

Answer:

• Option C) ∠C ≅ ∠Z, ∠B ≅ ∠Y, ∠A ≅∠X

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ΔABC and ΔXYZ are congruent triangles.

Corresponding angles map as per the order of vertices:

• ∠A to ∠X, ∠B to ∠Y and ∠C to ∠Z so these are the pairs of congruent angles.

The congruent pairs of angles are:

• ∠A ≅∠X,
• ∠B ≅ ∠Y and
• ∠C ≅ ∠Z

This is matching option C.