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F ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?

A) yes, by AA similarity criterion
B) yes, by SAS similarity criterion
C) yes, by SSA similarity criterion
D) no, not possible to tell.

User JuanBoca
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2 Answers

4 votes
yes, by AA criterion
User Malonge
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4 votes

Answer: Option 'D' is correct.

Explanation:

Since we have given that

∠BAC = 17° and ∠CED = 17° are the two triangles,

But ΔBAC and ΔCED is not similar.

As for AA criterion , one more measure of angle need to be known.

For SAS and SSA criterion, one more side and angle is to be known.

So, it is not possible to tell.

Hence, Option 'D' is correct.

User Camille Wintz
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5.6k points