HL Theorem

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What is the HL Theorem?

Back

The HL (Hypotenuse-Leg) Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

When can we use the HL Congruence Theorem?

Back

The HL Congruence Theorem can only be used for right triangles.

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What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a method for proving triangle congruence.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a method for proving triangle congruence.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method for proving triangle congruence.

Front

What is required to prove triangles congruent by the HL Theorem?

Back

To prove triangles congruent by the HL Theorem, you need to show that the hypotenuse and one leg of the triangles are congruent.

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What is the significance of the reflexive property in triangle congruence?

Back

The reflexive property states that a side or angle is congruent to itself, which can help in proving triangles congruent.

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What is the difference between congruent triangles and similar triangles?

Back

Congruent triangles have the same size and shape, while similar triangles have the same shape but may differ in size.

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What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size.

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What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are congruent based on certain criteria.