# a. How are the SAS Similarity Theorem and the SAS Congruence Postulate alike? How are they different? b. How are the SSS Similarity Theorem and the SSS Congruence Postulate alike? How are they different?

Kelton Molina 2022-09-18 Answered
a. How are the SAS Similarity Theorem and the SAS Congruence Postulate alike? How are they different? b. How are the SSS Similarity Theorem and the SSS Congruence Postulate alike? How are they different?
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Katelyn Ryan
a. Both involve corresponding two sides and their included angle. The difference is that in $SAS\sim$ Theorem, the corresponding two sides must be proprortional while in $SAS\cong$ Postulate, they must be congruent.
b. Both involve corresponding three sides. The difference is that in $SSS\sim$ Theorem, the corresponding three sides must be proprortional while in $SSS\cong$ Postulate, they must be congruent.

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Heergerneuu
a) The SAS similarity theorem and the SAS congruence theorem are alike because the angle formed by the proportional/congruent sides must be congruent, but they are different because in the SAS similarity theorem two pairs of sides must be proportional, but in the SAS congruence theorem they have to be congruent.
b) The SSS similarity theorem and the SSS congruence theorem are alike because they both involve three pairs of corresponding sides to create a relation, but they are different because the SSS similarity theorem requires the pairs of corresponding sides to be proportional, and the SSS congruence theorem requires them to be congruent.

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