Question

given: $overline{ad}congoverline{cb},angle adbcongangle cbd$ prove: $\triangle adbcong\triangle cbd$ look at the proof. name the postulate you would use to prove the two triangles are congruent. given: $overline{ad}congoverline{cb},angle adbcongangle cbd$ prove: $\triangle adbcong\triangle cbd$ $overline{ad}congoverline{cb}$ given $angle adbcongangle cbd$ given $overline{db}congoverline{bd}$ reflexive property of congruence $\triangle adbcong\triangle cbd$? aaa postulate sas postulate sss postulate

Explanation:

Step1: Recall congruence postulates

There are several postulates for triangle - congruence: AAA (angle - angle - angle), SAS (side - angle - side), SSS (side - side - side), etc.

Step2: Analyze given information

We are given that $\overline{AD}\cong\overline{CB}$ (a side), $\angle ADB\cong\angle CBD$ (an angle), and $\overline{DB}\cong\overline{BD}$ (by the reflexive property of congruence, which is a side). So we have two sides and the included angle congruent.

Answer:

B. SAS Postulate