Congruent Triangles - Ch 5

Front

What is the definition of congruent triangles?

Back

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

Front

What does the SSS congruence theorem state?

Back

The SSS (Side-Side-Side) congruence theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does the SAS congruence theorem state?

Back

The SAS (Side-Angle-Side) congruence theorem 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 a right triangle?

Back

A right triangle is a triangle in which one of the angles measures exactly 90 degrees.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.

Front

What does the ASA congruence theorem state?

Back

The ASA (Angle-Side-Angle) congruence theorem 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 definition of an acute triangle?

Back

An acute triangle is a triangle in which all three angles are less than 90 degrees.

Front

What is the HL congruence theorem?

Back

The HL (Hypotenuse-Leg) congruence 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 relationship between corresponding angles of congruent triangles?

Back

The corresponding angles of congruent triangles are equal.