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Answer :
We have explained how we can prove triangles are congruent using SSS and SAS.
What are SSS and SAS rule?
SSS: If the three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.
SAS: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
1) Side-Side-Side is a rule used to prove whether a given set of triangles are congruent.
The SSS rule states that:
If the three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.
In diagram (1), if AB = RP, BC = PQ, and CA = QR, then triangle ABC is congruent to triangle RPQ.
2) Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent.
The SAS rule states that:
If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
An included angle is an angle formed by two given sides.
For the two triangles below, if AC = PQ, BC = PR, and angle C< = angle P, then by the SAS rule, triangle ABC is congruent to triangle QRP.
Hence, we have explained how we can prove triangles are congruent using SSS and SAS.
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