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, then the triangles are congruent.

Front

What is the congruence statement for triangles PRC?

Back

The congruence statement for triangles PRC is that triangle PRC is congruent to another triangle, which can be denoted as triangle ABC if the corresponding sides and angles are equal.

Front

Can two triangles be proven congruent if only one side is known?

Back

No, two triangles cannot be proven congruent with only one side known; additional information about angles or other sides is needed.

Front

What does ZY ≅ CB indicate in triangle congruence?

Back

ZY ≅ CB indicates that side ZY is congruent to side CB, meaning they have the same length.

Front

What is the measure of angle C if it is given as 100º?

Back

The measure of angle C is 100 degrees.

Front

What is the Angle-Side-Angle (ASA) postulate?

Back

The Angle-Side-Angle (ASA) postulate 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 triangles are congruent.

Front

What is the Side-Angle-Side (SAS) postulate?

Back

The Side-Angle-Side (SAS) postulate 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 triangles are congruent.

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

The Hypotenuse-Leg (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 triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the purpose of congruence statements in geometry?

Back

Congruence statements are used to indicate that two triangles are congruent and to specify the correspondence between their vertices.