Triangle Review

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the ASA (Angle-Side-Angle) congruence criterion?

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 two triangles are congruent.

Front

If ∆XYZ ≅ ∆KLM, what can be said about their corresponding angles?

Back

The corresponding angles of congruent triangles are equal, so ∠Y ≅ ∠L, ∠Z ≅ ∠M, and ∠X ≅ ∠K.

Front

How can you determine the smallest angle in a triangle?

Back

The smallest angle in a triangle is opposite the shortest side.

Front

What is the significance of the values of x and y in triangle congruence?

Back

The values of x and y can represent lengths of sides or measures of angles that, when equal, establish the congruence of triangles.

Front

What is the SSS (Side-Side-Side) congruence criterion?

Back

The SSS criterion states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS (Side-Angle-Side) congruence criterion?

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 two triangles are congruent.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

How do you find the measure of an unknown angle in a triangle?

Back

To find an unknown angle, subtract the sum of the known angles from 180 degrees.

Front

What is the definition of an angle?

Back

An angle is formed by two rays (sides) that share a common endpoint (vertex).