Question

question 2
2 pts
∠r≅∠u,∠p≅∠t and rq≅us
sss
asa
sas
aas
hl
cannot be proven congruent
question 3
2 pts
∠r≅∠u,∠q≅∠s and rq≅us
sss
asa
sas
aas
hl
cannot be proven congruent

Explanation:

Question 1:

We have two sides (\(\overline{RP}\cong\overline{UT}\), \(\overline{RQ}\cong\overline{US}\)) and the included angle (\(\angle R\cong\angle U\)). The SAS (Side - Angle - Side) congruence criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

We have two angles (\(\angle R\cong\angle U\), \(\angle P\cong\angle T\)) and a non - included side (\(\overline{RQ}\cong\overline{US}\)). The AAS (Angle - Angle - Side) congruence criterion states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

We have two angles (\(\angle R\cong\angle U\), \(\angle Q\cong\angle S\)) and the included side (\(\overline{RQ}\cong\overline{US}\)). The ASA (Angle - Side - Angle) congruence criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Answer:

SAS

Question 2: