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4 votes
Which congruence theorem would complete the proof shown?

SSS
SAS
ASA

Which congruence theorem would complete the proof shown? SSS SAS ASA-example-1

2 Answers

4 votes
the correct answer would be ASA
User Morion
by
8.4k points
1 vote

Answer:

ASA

C is correct

Explanation:

We are given table of congruence of triangle.

1. Given: DC || AB and AD|| BC

2. If two lines are parallel then a tranversal line makes eight angles.

∠2=∠3 and ∠1=∠4 ( Alternate interior angle )

3 . If one side is common in two figure then reflexive property use.

CA = CA (Reflexive )

If we take two triangles ΔDAC and ΔCAB are congruent by above property.

ΔDAC ≅ ΔCAB by two angle and one side.

The property of congruence is ASA

4. ΔDAC ≅ ΔCAB by ASA

Hence, The 4th reason is ASA

User Shawn Rakowski
by
8.4k points
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