Question

Which postulate or theorem can be used to prove that △BCD is similar to △EFG?

SAS ​Similarity Theorem


SSS ​Similarity Theorem


AA ​Similarity Postulate


ASA ​Similarity Theorem

Answer 1

SSS

since both have all sides known

Answer 2

SSS similarity Theorem is correct.

B is correct.

Explanation:

Given: We are given two triangle whose measure the side of triangle.

We need to choose correct postulate or theorem.

From the attachment we can see the sides of both triangle.

We will find the ratio of triangle their corresponding side.

`(BC)/(EF)=(28)/(14)=(2)/(1)`

`(CD)/(FG)=(32)/(16)=(2)/(1)`

`(BD)/(EG)=(36)/(18)=(2)/(1)`

In ΔBCD and ΔEFG

`(BC)/(EF)=(CD)/(FG)=(BD)/(EG)=(2)/(1)`

ΔBCD ≈ ΔEFG By SSS similarity Theorem

Because three sides are in same ration.

Hence, SSS similarity Theorem is correct.