Question

if
necessary, you may learn what the markings on a figure indicate.

(b)

select

△uvw≅△□ by the

angle - side - angle (asa) congruence property

angle - angle - side (aas) congruence property

side - side - side (sss) congruence property

side - angle - side (sas) congruence property

select

△mno≅△□ by the

○ not necessarily congruent

○ congruent:

save for later

Explanation:

Step1: Check congruence for \(\triangle UVW\) and \(\triangle XYZ\)

In \(\triangle UVW\) and \(\triangle XYZ\), we have two angles and a non - included side. The vertical angles are equal. By the Angle - Angle - Side (AAS) congruence property.

Step2: Check congruence for \(\triangle MNO\) and \(\triangle PQR\)

In \(\triangle MNO\) and \(\triangle PQR\), we have one side and one angle. There is not enough information (SSA is not a valid congruence criterion) to prove them congruent.

Answer:

\(\triangle UVW\cong\triangle XYZ\) by the Angle - Angle - Side (AAS) Congruence Property; \(\triangle MNO\) and \(\triangle PQR\) are Not Necessarily Congruent.