Question

Given: AB = BC and D is the midpoint of AC.Prove: AABD - ACBD.StepStatementReason1ABBCD is the midpoint of ACGiventryType of Statement

Answer 1

First draw the diagram.

The two triangles are drawn as, ABD and CBD.

To prove,

$\Delta ABD\cong\Delta CBD$

Proof

$AB\cong BC\text{ }(given)$$AD=CD\text{ }(D\text{ is the midpoint})$$\angle ABD=\angle CBD\text{ }(common)$

Thus the triangle ABD is congruent to triangle CBD by Side angle Side property.