To determine which theorem can be used to prove triangle congruence, we need to analyze the information given about the triangles. Here’s a quick overview of the triangle congruence theorems:
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SSS (Side-Side-Side): If all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent.
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SAS (Side-Angle-Side): If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
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ASA (Angle-Side-Angle): If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.
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AAS (Angle-Angle-Side): If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.
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HL (Hypotenuse-Leg): This is specific to right triangles. If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.
If you provide specific information about the sides or angles of the triangles, I can help you identify which theorem is applicable. If no relevant information is given to show congruency, the correct response would be:
Not Possible to prove congruency with the given information.
1 answer