If two triangles are congruent, what do we know about their corresponding sides and angles?
Question
If two triangles are congruent, what do we know about their corresponding sides and angles?
Solution
If two triangles are congruent, it means they are identical in shape and size. Here's what we know about their corresponding sides and angles:
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Corresponding sides: The corresponding sides of two congruent triangles are equal in length. This means that if you were to match up the triangles side by side, each side of one triangle would be the exact same length as the corresponding side on the other triangle.
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Corresponding angles: The corresponding angles of two congruent triangles are equal in measure. This means that if you were to match up the triangles angle by angle, each angle of one triangle would have the same degree measure as the corresponding angle on the other triangle.
In summary, if two triangles are congruent, all their corresponding sides and angles are equal.
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