Question

7 multiple choice 1 point state the congruence relation for (\triangle xyz) and (\triangle pqr). 8 multiple choice 1 point name the side opposite (angle pqs).

Explanation:

Question 7

Step1: Recall congruence criteria

• SAS (Side - Angle - Side): Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
• ASA (Angle - Side - Angle): Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
• AAA (Angle - Angle - Angle): Only similarity (not congruence) is guaranteed.
• In \(\triangle PQR\) and \(\triangle XYZ\), we have two sides (marked with one and two ticks respectively) and the included angle (the non - tick - marked angle) not matching the ASA or AAA criteria. But, if we assume the two sides and the included angle (by the side - marking and angle - position) follow the SAS pattern (where the angle is between the two sides).

Question 8

Step1: Identify the side opposite the angle

• In a triangle, the side opposite an angle is the side that does not form the angle.
• For \(\angle PQS\), in \(\triangle PQS\), the side that does not form \(\angle PQS\) is \(\overline{PS}\).

Answer:

1. A. SAS
2. A. \(\overline{PS}\)