Question

Which descriptions from the list below accurately describe the relationship between triangle QRS and triangle TUV check all that apply

Answer 1

Explanation:

From the given figure, from ΔQRS and ΔTUV, we have

∠Q=∠T(56°(given))

∠R=∠U(83°(given))

∠S=∠V(41°(given))

Thus, by AAA similarity of triangles, ΔQRS is similar to ΔTUV.

Also, All the three angles made by both triangles are equal, and also they are similar thus they have same shape.

Thus, option C and D are correct.

Answer 2

Answer: C. Same shape

D. Similar

Explanation:

In the given picture we have two triangles, ΔQRS and ΔTUV

such that ∠Q=∠T=56°

∠R=∠U=83°

∠S=∠V=41°

So by AAA postulate of similarity, we have

ΔQRS ≈ ΔTUV

Since, similar figure have same shape.

Thus, we can say both triangles have the same shape.

But non of sides of both triangles are congruent, therefore the given triangle is just similar but not congruent.