Congruent Triangles - Reflexive Prop & Vertical Angles

Front

What is a congruent triangle?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What does the Reflexive Property state?

Back

For any geometric figure, it is congruent to itself. For example, triangle ABC is congruent to triangle ABC.

Front

What are vertical angles?

Back

Angles that are opposite each other when two lines intersect. They are always congruent.

Front

What is the SSS postulate?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS postulate?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA postulate?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS postulate?

Back

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What does AAA mean in triangle congruence?

Back

Angle-Angle-Angle; it indicates that if two triangles have equal angles, they are similar but not necessarily congruent.

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is a translation in geometry?

Back

A transformation that slides a figure from one position to another without turning it.