Determining Triangle Congruence Postulates

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Question:

Multiple Choice Question it resembles a hourglass

For the pair of triangles, tell which congruence postulate makes the triangles congruent.

A. HL B. ASA C. SSS D. SAS E. AAS

Answer:

To determine which congruence postulate makes the triangles congruent, we need more information about the specific triangles in question. However, I can provide a brief overview of each congruence postulate:

A. HL (Hypotenuse-Leg): This applies specifically 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, then the triangles are congruent.

B. 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, then the triangles are congruent.

C. SSS (Side-Side-Side): If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

D. 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, then the triangles are congruent.

E. 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, then the triangles are congruent.

If you can provide more details about the triangles (such as the lengths of sides or measures of angles), I can help you determine which postulate