Congruent Triangles

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position in different triangles when the triangles are positioned in the same way.

Front

What is the ASA postulate?

Back

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

Front

What is the SAS postulate?

Back

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

Front

What does HL stand for in triangle congruence?

Back

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

Front

True or False: All corresponding angles in congruent triangles are congruent.

Back

True.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important because it allows us to determine that two triangles are the same size and shape, which is fundamental in proving other geometric properties.

Front

How can you prove that two triangles are not congruent?

Back

You can prove that two triangles are not congruent by showing that at least one pair of corresponding sides or angles is not equal.

Front

What is the relationship between congruent triangles and similarity?

Back

Congruent triangles are similar, but similar triangles are not necessarily congruent. Similar triangles have the same shape but may differ in size.