Congruent Triangles (5.3, 5.5, 5.6) Flashcard

Front

What is a congruent triangle?

Back

A triangle that has the same size and shape as another triangle. This means all corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a method to prove triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles are congruent 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.

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are always congruent; when two lines intersect, the opposite angles formed are equal.

Front

What is the Alternate Interior Angles Theorem?

Back

When two parallel lines are cut by a transversal, the pairs of alternate interior angles are congruent.

Front

What is the purpose of the Congruence Statement?

Back

To indicate that two triangles are congruent and to specify the corresponding vertices and sides.

Front

How can you determine if two triangles are congruent using SSS?

Back

Measure all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.

Front

How can you determine if two triangles are congruent using SAS?

Back

Measure two sides and the included angle of both triangles; if they are equal, the triangles are congruent.