Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What is the criteria for triangle congruence?

Back

The criteria for triangle congruence include Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), and Hypotenuse-Leg (HL) for right triangles.

Front

If two angles of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.

Front

How do you find the measure of the vertex angle in an isosceles triangle?

Back

To find the vertex angle, subtract the sum of the two equal angles from 180°. For example, if the two equal angles are 76°, the vertex angle is 180° - (76° + 76°) = 28°.

Front

What is the base of an isosceles triangle?

Back

The base of an isosceles triangle is the side that is not equal to the other two sides.

Front

What does the Triangle Sum Theorem state?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180°.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the measures of the angles in a triangle is equal to 180°.

Front

What is the significance of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which allows for the use of congruence criteria to prove triangles are congruent.

Front

What is the definition of an exterior angle in a triangle?

Back

An exterior angle is formed by one side of a triangle and the extension of an adjacent side. The measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles.

Front

What is the difference between acute, obtuse, and right triangles?

Back

Acute triangles have all angles less than 90°, obtuse triangles have one angle greater than 90°, and right triangles have one angle equal to 90°.