Question

question 7 (multiple choice worth 4 points) (02.03r mc) angle n = 40 degrees, side np = 8, angle q = 40 degrees, and side qs = 8. what additional information would you need to prove that \\( \triangle nop \cong \triangle qrs \\) by asa? angle o is congruent to angle r. angle p is congruent to angle s. side no is congruent to side qr. side op is congruent to side rs.

Explanation:

Step1: Recall ASA (Angle - Side - Angle) criterion

ASA 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.
We have \(\angle N=\angle Q = 40^{\circ}\) and \(NP = QS=8\).

Step2: Analyze the included side

For \(\triangle NOP\) and \(\triangle QRS\), the included side between the angles should be considered.
The side \(NO\) in \(\triangle NOP\) and side \(QR\) in \(\triangle QRS\) are the sides adjacent to the given angles \(\angle N\) and \(\angle Q\) respectively.

Answer:

C. Side \(NO\) is congruent to side \(QR\)