Page 88 - Math Course 3 (Book 2)

Triangle Congruence Postulates

Identify Congruent Triangles
Two sides and the included angle of one triangle
are congruent to two sides and the included angle Determine which postulate can be used to prove
of the other triangle. The triangles are congruent that the triangles are congruent. If it is not possible
by SAS. to prove that they are congruent, write not possible.

Answer SAS A. SSS
B. SAS
C. not possible
Determine which postulate can be used to prove
that the triangles are congruent. If it is not possible Answer
to prove that they are congruent, write not possible.

Determine which postulate can be used to prove
that the triangles are congruent. If it is not possible
to prove that they are congruent, write not possible.

A. SSS
Each pair of corresponding sides are congruent. B. SAS
Two are given and the third is congruent by Reflex- C. not possible
ive Property. So the triangles are congruent by SSS.

Answer
Answer SSS

Your Turn!

Use SSS in Proofs

Choose the correct reason to complete the following flow proof.

Given: C is the mipoint of DB; ∠ACB ≅ ∠ACD.

Prove: △ACB ≅ △ADC. A

Proof: C is the midpoint of DB ∠ACB ≅ ∠ACD AC ≅ AC

Given Given Reflexive Property

CD ≅ CB D C B

???
A. Segment Addition Postulate
B. Symmetric Property
△ABC ≅ △ADC C. Midpoint Theorem
SAS D. Substitution

Answer

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