Choose the pair of triangles that are congruent according to S.S.S.
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Choose the pair of triangles that are congruent according to S.S.S.
In answer A, we are given two triangles with different angles, therefore the sides are also different and they are not congruent according to S.S.S.
In answer B, we are given two right triangles, but their angles are different and so are the sides. Therefore, they are not congruent according to S.S.S.
In answer D, we do not have enough data, therefore it is not possible to determine that they are congruent according to S.S.S.
In answer C, we see that all the sides are equal to each other in both triangles and therefore they are congruent according to S.S.S.
Determine whether the triangles DCE and ABE congruent?
If so, according to which congruence theorem?
SSS stands for Side-Side-Side, which means all three corresponding sides of two triangles must be equal in length. This is one of the main ways to prove triangles are congruent.
No! In SSS congruence, you only compare side lengths. The angles don't matter because if all three sides match, the triangles will automatically have the same angles too.
Look for sides in similar positions in both triangles. Often they're marked with the same colors or numbers. In this problem, the blue sides (8), green sides (7), and red sides (9) correspond to each other.
Then the triangles are not congruent by SSS. For SSS congruence, you need all three pairs of corresponding sides to be equal - no exceptions!
Absolutely! Triangles can be flipped, rotated, or repositioned and still be congruent. What matters is that corresponding side lengths match, not how the triangles are positioned.
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