Question

question 1 of 10
what else would need to be congruent to show that ( \triangle abccong\triangle xyz ) by asa?
given:
( angle acongangle x )
( angle ccongangle z )
a. ( overline{bc}congoverline{yz} )
b. ( angle bcongangle y )
c. ( overline{ac}congoverline{xz} )
d. ( angle ccongangle z )

Explanation:

Step1: Recall the ASA (Angle - Side - Angle) congruence 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.

Step2: Identify the given angles and the required side

We are given \(\angle A\cong\angle X\) and \(\angle C\cong\angle Z\). The included side between \(\angle A\) and \(\angle C\) in \(\triangle ABC\) is \(AC\), and the included side between \(\angle X\) and \(\angle Z\) in \(\triangle XYZ\) is \(XZ\).

Answer:

C. \(\overline{AC}\cong\overline{XZ}\)