Question

Triangles RQS and NTV have the following characteristics: • Right angles at ∠Q and ∠T • RQ ≅ NT Can it be concluded that ΔRQS ≅ ΔNTV by SAS? Why or why not? Yes, one set of corresponding sides and one corresponding angle are congruent. Yes, they are both right triangles. No, it is necessary to know that another set of corresponding sides is congruent. No, it is not possible for the triangles to be congruent.

Answer 1

Answer:

C. No, it is necessary to know that another set of corresponding sides is congruent.

Step-by-step explanation:

Answer 2

Based on the SAS congruence theorem, the right response is: C. No, it is necessary to know that another set of corresponding sides is congruent

What is the SAS Congruence Theorem?

The SAS congruence theorem states that if two triangles have a pair of congruent angles that are included, and two pairs of sides that are congruent, then both triangles are congruent.

Given the following:

• ∠Q ≅ ∠T (a pair of included angles)
• RQ ≅ NT (a pair of congruent sides)

For ΔRQS ≅ ΔNTV, it is necessary to know another set of corresponding sides are congruent/equal.

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