Triangle Congruence Theorems

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What does the HL theorem stand for in triangle congruence?

Back

The HL theorem stands for the Hypotenuse-Leg theorem, which states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What does the ASA theorem stand for in triangle congruence?

Back

The ASA theorem stands for the Angle-Side-Angle theorem, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

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What does the SSS theorem stand for in triangle congruence?

Back

The SSS theorem stands for the Side-Side-Side theorem, which states that if all three sides of one triangle are equal to all three sides of another triangle, then the two triangles are congruent.

Front

What does the SAS theorem stand for in triangle congruence?

Back

The SAS theorem stands for the Side-Angle-Side theorem, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the significance of triangle congruence theorems in geometry?

Back

Triangle congruence theorems are significant because they provide criteria to determine if two triangles are congruent, which is essential for solving various geometric problems and proofs.

Front

Can the SSS theorem be used to prove triangle congruence if only two sides are known?

Back

No, the SSS theorem requires all three sides of the triangles to be known to prove congruence.

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What is the relationship between the sides in congruent triangles?

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In congruent triangles, corresponding sides are equal in length.

Front

How can you determine if two triangles are congruent using the ASA theorem?

Back

To determine if two triangles are congruent using the ASA theorem, you need to show that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is an example of a situation where the HL theorem can be applied?

Back

The HL theorem can be applied in a situation where you have two right triangles, and you know the lengths of their hypotenuses and one leg.