Question

1. name the postulate or theorem you can use to prove △abd≅△cbd. asa postulate aas theorem sas postulate sss postulate

Explanation:

Step1: Identify common side

In $\triangle ABD$ and $\triangle CBD$, $BD = BD$ (common side).

Step2: Identify right - angles

$\angle ABD=\angle CBD = 90^{\circ}$ (right - angles as shown by the square symbol).

Step3: Identify another side

There is no information given about the other sides being equal, but we have two angles and the included side. Since we have two pairs of angles and the included side between them equal, we use the ASA (Angle - Side - Angle) postulate.

Answer:

ASA Postulate