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Equilateral Triangle Theorem

If 3 sides of...

Question

If 3 sides of one triangle are equal to the three sides of another triangle, then the two triangles are .

A

congruent by SSS

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B

congruent by SAA

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C

congruent by SAS

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D

congruent by SSA

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Solution

The correct option is A congruent by SSS
We know, by definition, that if three sides of a triangle are equal to the three sides of another triangle, then, the two triangles are congruent by SSS congruence condition.

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Q. Which of the following statements are true and which of them are false?

(i) All squares are congruent.
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(v) If two sides and one angle of a triangle are equal to the corresponding two sides and angle of another triangle, the triangle are congruent.
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