Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles are congruent by showing two angles and the included side are equal.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a method to prove triangles are congruent by showing all three sides are equal.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles are congruent by showing two sides and the included angle are equal.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles are congruent by showing two angles and a non-included side are equal.

Front

What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself, used in proving triangle congruence.

Front

What is the Transitive Property?

Back

A property stating that if one figure is congruent to a second figure, and the second figure is congruent to a third, then the first and third figures are congruent.

Front

What is the Symmetry Property?

Back

A property stating that if one figure is congruent to another, then the second figure is congruent to the first.

Front

What is the significance of Vertical Angles in triangle congruence?

Back

Vertical angles are always congruent, which can help in proving triangles are congruent.

Front

How can you prove triangles are congruent using the HL theorem?

Back

By showing that the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle.