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42 votes
42 votes
Alva wants to prove that opposite sides in a parallelogram are congruent. A A B B C C D D E E Alva says: "I can prove this by establishing the congruence of a single pair of triangles." Which pair of triangles is Alva referring to, and which criterion should she use for establishing congruence? Choose 1 answer: Choose 1 answer: (Choice A) A △ A B C △ABCtriangle, A, B, C and △ C D A △CDAtriangle, C, D, A by angle-side-angle (Choice B) B △ A B C △ABCtriangle, A, B, C and △ C D A △CDAtriangle, C, D, A by side-angle-side (Choice C) C △ A B E △ABEtriangle, A, B, E and △ C D E △CDEtriangle, C, D, E by angle-side-angle (Choice D) D △ A B E △ABEtriangle, A, B, E and △ C D E △CDEtriangle, C, D, E by side-angle-side

User Crazy Chenz
by
2.8k points

2 Answers

23 votes
23 votes

Final answer:

Alva should use the angle-side-angle (ASA) criterion to prove that opposite sides in a parallelogram are congruent by establishing the congruence of triangle △ABC and triangle △CDA.

Step-by-step explanation:

Alva is referring to triangle △ABC and triangle △CDA. She should use the angle-side-angle (ASA) criterion for establishing congruence.

User Lars Schillingmann
by
3.2k points
26 votes
26 votes

Answer:

ABC and triangle CDA by angle-side-angle

Step-by-step explanation:

got it right on khan I would have taken a screen shot but i accidentally went ahead before i could

User Matteo Meil
by
2.1k points
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