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Which theorem or postulate proves that △ABC and △DEF are similar?

Select from the drop-down menu to correctly complete the statement.
The two triangles are similar by the ________.

A. AA Similarity Postulate

B. SSS Similarity Theorem

C. SAS Similarity Theorem

Which theorem or postulate proves that △ABC and △DEF are similar? Select from the-example-1
User Kuddusi
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7.7k points

2 Answers

4 votes

Answer: SAS Similarity property

Explanation:

I took the test

User Acalypso
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6 votes

Answer:

△ABC and △DEF are similar by SAS Similarity Theorem.

Option (C) is correct .

Explanation:

Definition of SAS Similarity property

Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .

In △ABC and △DEF


(ED)/(AB)= (7)/(21)


(ED)/(AB)= (1)/(3)

and


(EF)/(BC)= (11)/(33)


(EF)/(BC)= (1)/(3)

Thus


(ED)/(AB)=(EF)/(BC)= (1)/(3)

∠ABC = ∠DEF (As given in the figure )

Thus △ABC and △DEF are similar by SAS Similarity property .

User Naveen Kumar G C
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