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What does the HL theorem stand for in triangle congruence?

Back

The HL theorem stands for 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.

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What does the SSS theorem state in triangle congruence?

Back

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

Front

What is the ASA theorem in triangle congruence?

Back

The ASA theorem stands for 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.

Front

What does the SAS theorem state in triangle congruence?

Back

The SAS theorem stands for 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 congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal, which is essential for solving various geometric problems.

Front

How can you prove two triangles are congruent using the SSS theorem?

Back

To prove two triangles are congruent using the SSS theorem, you must show that all three sides of one triangle are equal to the three sides of the other triangle.

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, which means if two triangles are congruent, their angles will also be congruent.

Front

Can the HL theorem be used for non-right triangles?

Back

No, the HL theorem can only be used for right triangles, as it specifically involves the hypotenuse.

Front

What is the difference between ASA and AAS in triangle congruence?

Back

ASA (Angle-Side-Angle) requires the included side between two angles to be equal, while AAS (Angle-Angle-Side) requires two angles and a non-included side to be equal.

Front

What is the criteria for using the SAS theorem?

Back

The criteria for using the SAS theorem is that two sides and the included angle of one triangle must be equal to two sides and the included angle of another triangle.