Prove that the base angles of an isosceles triangle are congruent. be sure to create and name the appropriate geometric figures.

Consider the triangle ABC in the attached file.

Given: An isosceles triangle ABC.  

To Prove: Base angles of an isosceles triangle are congruent.

Construction: Draw AM perpendicular to BC.

Proof: To prove the base angles  of an isosceles triangle are congruent, we first need to prove triangle ABM is congruent to triangle ACM.

In and

So, by AAS criteria.

Therefore,   by CPCT.

Hence, the base angles of an isosceles triangle are congruent.

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1