Triangle Congruence with HL Updated

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence that applies to right triangles.

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

The HL theorem 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 are the other triangle congruence criteria besides HL?

Back

The other criteria are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and SSS (Side-Side-Side).

Front

In triangle congruence, what does SAS stand for?

Back

SAS stands for Side-Angle-Side, which means two sides and the angle between them are equal in two triangles.

Front

In triangle congruence, what does ASA stand for?

Back

ASA stands for Angle-Side-Angle, which means two angles and the side between them are equal in two triangles.

Front

In triangle congruence, what does SSS stand for?

Back

SSS stands for Side-Side-Side, which means all three sides of one triangle are equal to all three sides of another triangle.

Front

Can two triangles be congruent if only one angle and one side are known?

Back

No, at least two sides and the included angle or two angles and the included side must be known for congruence.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

How can you prove two triangles are congruent using HL?

Back

To prove two triangles are congruent using HL, show that both triangles have a right angle, and that their hypotenuses and one leg are equal.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant because they have the same size and shape, allowing for the transfer of properties and measurements.