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Which lines in the following proof of △ABC≅△CDA have the correct justification? Select all that apply.

Options:
A. AC≅AC, Reflexive Property of Congruence
B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem
C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem
D. △ABC≅△CDA, SAS Triangle Congruence Theorem

Which lines in the following proof of △ABC≅△CDA have the correct justification? Select-example-1

2 Answers

3 votes

Answer:

A and B and C

theres another answer right here that explains why

User Triangle
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6.0k points
0 votes

Answer:

  • A, B, C

Explanation:

Options:

A. AC≅AC, Reflexive Property of Congruence

  • Correct. This is shared side of the triangles ABC and CDA

B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem

  • Correct. BC and AD are parallel and AC is transversal

C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem

  • Correct. AB and DC are parallel and AC is transversal

D. △ABC≅△CDA, SAS Triangle Congruence Theorem

  • Incorrect. This should be ASA as we have shown above the angles A and C and included side AC are congruent.
User Marcello Miorelli
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5.8k points