Question

Kira drew traingle pqr and stu so that angle p is congruent to angle s, angle q is congruent to angle t, pr equals 12, and su equals 3. Are triangles pqr and stu similar? If so identify the similarity postulate or theorem that applies

Answer 1

Answer:

The similarity postulate theorem is;

Similar - AA

Step-by-step explanation:

We are told that angle p is congruent to angle s, angle q is congruent to angle t.

Thus it is an AA similarity theorem because AA similarity theorem states that: If two angles in one triangle are congruent/respectively equal to two angles of another triangle, then the 2 triangles are similar.

For example, if we assume ΔABC and ΔDEF to be two triangles such that ∠A = ∠D and ∠B = ∠E. Then the two triangles are equiangular and thus they are similar by AA.