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The diagram below shows triangle ABC NCDE angle B AC in angle DCA or right angle species congruent to a D proof triangle ABC is congruent to triangle CDA which roles are incorrect and explain

The diagram below shows triangle ABC NCDE angle B AC in angle DCA or right angle species-example-1
User Compman
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2 Answers

6 votes

Answer:

The first two entries are correct since they are given. Unless you make a mistake compliling the first cell in a "given" line, they are always correct

Third one is not: they are not angles. They are segments - technically they are the SAME segment, it's in common between the two triangles.

Last one is correct, it's SSA

User Enrique Saez
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0 votes

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 Louis Grellet
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