Unit 3 Transformations & Congruence

Front

What is the AAS congruence rule?

Back

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

Front

What are transformations in geometry?

Back

Transformations are operations that alter the position, size, or shape of a figure. The main types of transformations are translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a figure in a straight line from one position to another without changing its shape, size, or orientation.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a specified angle.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning one can be transformed into the other through rotations, translations, or reflections.

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but may differ in size.

Front

What is the significance of the y-axis in transformations?

Back

The y-axis is often used as a line of reflection in transformations, where figures can be flipped over this vertical line.

Front

How do you determine if triangles are congruent using the ASA rule?

Back

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

Front

What is the 90-degree clockwise rotation transformation?

Back

A 90-degree clockwise rotation transformation turns a figure 90 degrees in the clockwise direction around a specified point.