Question

select the correct answer from each drop-down menu.
the pair of triangles that are congruent by the asa criterion is
the pair of triangles that are congruent by the sas criterion is
triangle abc and triangle pqr
triangle lmn and triangle xyz
triangle pqr and triangle stu
triangle abc and triangle xyz

Explanation:

Step1: Analyze ASA Criterion

ASA (Angle - Side - Angle) requires two angles and the included side to be equal. Triangle ABC and triangle XYZ: Check angles and included side. The marked angles and the side between them (length 5 for ABC, length 5 for XYZ) match, so they satisfy ASA.

Step2: Analyze SAS Criterion

SAS (Side - Angle - Side) requires two sides and the included angle to be equal. Triangle ABC: sides 5, 6 and included angle. Triangle PQR: sides 5, 6 and included angle. The sides (5, 6) and included angle match, so they satisfy SAS.

Answer:

For the ASA criterion: triangle ABC and triangle XYZ
For the SAS criterion: triangle ABC and triangle PQR