Practice Triangle Congruence Theorems

Front

What is the AAA triangle congruence theorem?

Back

The AAA (Angle-Angle-Angle) theorem states that if two triangles have three angles that are congruent, they are similar but not necessarily congruent.

Front

What does the SAS triangle congruence theorem state?

Back

The SAS (Side-Angle-Side) theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

Define the AAS triangle congruence theorem.

Back

The AAS (Angle-Angle-Side) theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the HL triangle congruence theorem?

Back

The HL (Hypotenuse-Leg) theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What is a reflection in geometry?

Back

A reflection is a type of rigid transformation where a figure is flipped over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

A rotation is a type of rigid transformation that turns a figure around a fixed point at a certain angle.

Front

What is a translation in geometry?

Back

A translation is a type of rigid transformation that slides a figure from one position to another without changing its shape or orientation.

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, making it larger or smaller.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles have the same size and shape, while similar triangles have the same shape but may differ in size.