Answered

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Given: AB = CB, LABD= LABD= LCBD Prove: LA= LCStatement Reason

Given AB CB LABD LABD LCBD Prove LA LCStatement Reason class=

Sagot :

Explanation:

We know that AB = CD and that ∠ABD = CBD because it is given information.

Then, we have that BD = BD because a side is congruent to itself. It is called the reflexive property of congruence.

Now, we can say that ΔABD = ΔBDC by SAS (Side - Angle - Side) because we have two congruent sides and the angle between them is also congruent

Finally, ∠A = ∠C because the corresponding sides of congruent triangles are congruent

Answer:

Therefore, the answer is

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