Question

Which postulate would prove that triangle QPR ≅ triangle psr? responses

a) asa asa,
b) sas sas, endfragment,
c) aas aas, endfragment,
d) sss

Answer 1

To properly prove that triangle QPR is congruent to triangle PSR, more information is required regarding the congruent sides and angles in order to apply the correct congruence postulate: ASA, SAS, AAS, or SSS.

Step-by-step explanation:

To determine which postulate would prove that triangle QPR ≡ triangle PSR, we need to know what aspects of the triangles are given to be congruent. The abbreviations stand for:

• ASA (Angle-Side-Angle)
• SAS (Side-Angle-Side)
• AAS (Angle-Angle-Side)
• SSS (Side-Side-Side)

Without specific information about the congruencies of sides and angles in triangles QPR and PSR, we cannot definitively choose the right postulate. Each option refers to a different set of criteria:

1. ASA: Two angles and the included side are the same.
2. SAS: Two sides and the included angle are the same.
3. AAS: Two angles and a non-included side are the same.
4. SSS: All three sides are the same length.

For a precise answer, more details are needed about the congruent parts of the given triangles.