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5 votes
How would I prove the congruency of these triangles?

How would I prove the congruency of these triangles?-example-1
User Frank Zhang
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2 Answers

19 votes
19 votes

Answer:

SAS

Explanation:

line AB = line CD S = SIDE

AB = CD because the shape is a parallelogram and opposite sides of a parallelogram are equal.

Hence, proved AB = CD

User Gok Demir
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3.5k points
13 votes
13 votes

Answer:

Explanation:

In ΔADC & ΔABC,

Statement Reason

AD = BC Given

∠DAC ≅ ∠ACB {AB // BC , AC is transversal, ⇒ alternate interior angles are equal}

AC = CA Reflexive property

ΔADC ≅ ΔABC SAS congruent

AB = CD CPCT -> Corresponding Part of Congruent Triangles

User Nohemi
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3.0k points