Determine which postulate or theorem can be used to prove that ABC DCB

What can be used to justify a statement in a geometric proof?

definition,postulate,theorem,& CorollaryDefinition, Theorem, Corollary, and PostulateA.PostulateB.DefinitionD.Algebraic property(answers for apex)a and cpostulate, theorem, and definition

Determine which postulate or theorem can be used to prove that △ ABC ≌ △ DCB. A.ASA B. SSS C.SAS D. AAS

Question

Determine which postulate or theorem can be used to prove that ABC DCB

Gauthmathier9941

Grade 9 · 2021-06-21

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Determine which postulate or theorem can be used to prove that Determine which postulate or theorem can be used t - Gauthmath DCB.
A. ASA
B. SSS
C. SAS
D. AAS

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Determine which postulate or theorem can be used to prove that ABC DCB

Gauthmathier1339

Grade 9 · 2021-06-21

Answer

Determine which postulate or theorem can be used to prove that ABC DCB

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Which theorem or postulate can be used to show ABC CDA?

We refer to this as the Side Side Side Postulate or SSS. And as seen in the image to the right, we show that trianlge ABC is congruent to triangle CDA by the Side-Side-Side Postulate.

What theorem determines that ABC and CDA are congruent?

First show that ABC ≡ CDA using the SSS congruence test.
Hence
ACB = CAD and CAB = ACD
(matching angles of congruent triangles)
so
AD || BC and AB || DC
(alternate angles are equal.)
Paralleograms_and_rectanglesamsi.org.au › teacher_modules › Paralleograms_and_rectanglesnull

Which similarity postulate or theorem can be used to determine that ABC is similar to DBE?

If so, which postulate or theorem proves these two triangles are similar? ​ △DBE ​ is similar to ​ △ABC ​ by the ​ SAS Similarity Theorem ​.

Is triangle ABC congruent to Triangle DCB Why?

1 Expert Answer Hi Sarah, you can use the side, angle, side theorem to prove that triangle ABC is congruent to triangle DCB. Side 2: CB is congruent to CB, reflex property of congruent lines.