Question

Given triangle DOG is congruent to triangle CAT, which reason could you use to prove that angle G is congruent to angle T?​

Answer 1

The correct option is;

d) CPCTC

Explanation:

The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven

Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;

Vertex D corresponds to vertex C

Vertex O corresponds to vertex A

Vertex G corresponds to vertex T

Therefore, given that ΔDOG ≅ ΔCAT, we have;

∠D ≅ ∠C by CPCTC

∠O ≅ ∠A by CPCTC

∠G ≅ ∠T by CPCTC.