To determine which triangle congruence criterion to use, you typically consider the information you have about the two triangles. Here are the main triangle congruence criteria:
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Side-Side-Side (SSS): If the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.
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Side-Angle-Side (SAS): 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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Angle-Side-Angle (ASA): 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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Angle-Angle-Side (AAS): 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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Hypotenuse-Leg (HL): This is specific to right triangles; if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.
To identify which criterion to use, examine the known elements (sides or angles) of the triangles in question. Let me know the specifics of the triangles you're considering, and I can provide a more tailored suggestion!
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