Triangle Sum & Congruency Flashcard

Front

What is the Triangle Sum Theorem?

Back

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

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, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the relationship between an exterior angle and the remote interior angles?

Back

The exterior angle of a triangle is equal to the sum of the two remote interior angles.

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 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.

Front

If two angles of a triangle are known, how can you find the third angle?

Back

You can find the third angle by subtracting the sum of the known angles from 180 degrees.

Front

What is the SAS postulate?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What is the significance of the remote interior angles?

Back

Remote interior angles are the two angles inside a triangle that are not adjacent to a given exterior angle; their sum equals the exterior angle.