Geometry Proving Triangles Congruent Practice

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 are the three main criteria for proving triangles congruent?

Back

The three main criteria are: 1) Side-Side-Side (SSS), 2) Side-Angle-Side (SAS), 3) Angle-Side-Angle (ASA).

Front

What does the Side-Side-Side (SSS) criterion state?

Back

The SSS criterion 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 Side-Angle-Side (SAS) criterion state?

Back

The SAS criterion 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 does the Angle-Side-Angle (ASA) criterion state?

Back

The ASA criterion 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 corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of two triangles that are in the same relative position.

Front

How can you prove triangles are congruent using 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 triangles are congruent.

Front

What is the importance of congruence in geometry?

Back

Congruence is important in geometry because it allows us to determine that two shapes are identical, which is essential for solving problems involving measurements and properties.

Front

What is the definition of an isosceles triangle?

Back

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

Front

What is the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal to 60 degrees.