To determine which theorem can be used to conclude that triangles are congruent, we need to know how the sides and angles of the triangles are related. Here’s a brief explanation of the options:
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SSS Congruence Theorem: States that if all three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.
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ASA Congruence Theorem: States that if two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, the triangles are congruent.
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SAS Congruence Theorem: States that if two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, the triangles are congruent.
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SSA Congruence Theorem: This is not a valid theorem for concluding congruence. It stands for two sides and a non-included angle, which does not guarantee triangle congruence.
Given this information, you would select the congruence theorem based on the specific conditions of the triangles in question.
If you can provide more context or details about the triangles, I would be happy to help you select the appropriate theorem!
1 answer