Question

triangle abc and triangle nop are drawn below. if \\(\overline{ab} \cong \overline{no}\\), \\(\angle a \cong \angle n\\), and \\(\angle b \cong \angle o\\), use the dropdown boxes below to determine a transformation that maps triangle abc onto triangle nop. then use a congruence statement to explain why this is possible.

a translation until point b aligns with point o.

answer attempt 2 out of 2

triangle abc maps onto triangle nop. this is possible because \\(\triangle abc \cong \triangle nop\\) by sss, and one congruent figure can be mapped onto another using rigid motions.

options for congruence: sas, asa, sss, aas

Explanation:

Step1: Recall congruence criteria

We know that for two triangles, if two angles and the included side are equal, the triangles are congruent. Here, we have \(\overline{AB}\cong\overline{NO}\), \(\angle A\cong\angle N\), and \(\angle B\cong\angle O\). This satisfies the ASA (Angle - Side - Angle) congruence criterion.

Answer:

ASA