Question

Two triangles are shown to be congruent by identifying a combination of translations, rotations, or reflections that move one figure onto the other. If ΔTOP ≅ ΔCAT, which angle must be congruent to ∠TPO? Why?
A) ∠ACT because the triangles are isosceles.
B) ∠CTA because the triangles are isosceles.
C) ∠ACT because corresponding parts of congruent triangles are congruent.
D) ∠CTA because corresponding parts of congruent triangles are congruent.

Answer 1

Answer:

D)

Step-by-step explanation:

∠CTA because corresponding parts of congruent triangles are congruent.

The definition of congruent triangles says the corresponding parts of congruent triangles are congruent (CPCTC). Since ΔTOP ≅ ΔCAT, ∠TPO corresponds to ∠CTA.