Rigid Motion and Congruence

Front

What is a rigid motion?

Back

A rigid motion is a transformation that preserves the distance and angles between points, meaning the shape and size of the figure remain unchanged.

Front

What are the three types of rigid motions?

Back

The three types of rigid motions are translation, rotation, and reflection.

Front

Define translation in the context of rigid motion.

Back

Translation is a rigid motion that slides a figure in a straight line from one position to another without changing its shape or orientation.

Front

What is rotation in rigid motion?

Back

Rotation is a rigid motion that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

Explain reflection in rigid motion.

Back

Reflection is a rigid motion that flips a figure over a line, creating a mirror image of the original figure.

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 rigid motions.

Front

How can you verify that two triangles are congruent?

Back

You can verify that two triangles are congruent by using rigid motions such as translation, rotation, or reflection to show that one triangle can be mapped onto the other.

Front

What is the significance of the x-axis in reflections?

Back

Reflecting a figure over the x-axis means that each point of the figure is mapped to a point directly opposite it on the other side of the x-axis.

Front

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

Back

Reflecting a figure over the y-axis means that each point of the figure is mapped to a point directly opposite it on the other side of the y-axis.

Front

What is a combination of rigid motions?

Back

A combination of rigid motions involves applying two or more rigid motions in sequence to transform a figure.