Question

batman is trying a new design signal for his sidekick, robin. the following design is shown below.
db = ca
given △dab and △cba with sides and angles as marked, select the postulate or theorem that proves these triangles are congruent
these triangles are not congruent. angle angle side congruence theorem
side side side congruence postulate side angle side congruence postulate
angle side angle congruence postulate hypotenuse leg congruence theorem

Explanation:

Step1: Identify the common side

In \(\triangle DAB\) and \(\triangle CBA\), \(AB = BA\) (common side).

Step2: Analyze the given side

We are given \(DB = CA\).

Step3: Check the angles

\(\angle DBA=\angle CAB\) (alternate - interior angles if \(AD\parallel BC\) or from the vertical - angle - related concept in the figure's structure).

We have two angles and a non - included side.

Answer:

Angle Angle Side Congruence Theorem