U1A: Rigid Transformations

Front

What is a rigid transformation?

Back

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

Front

What happens to a point when it is reflected over the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

What is the result of reflecting the point (-5, 2) over the y-axis?

Back

(5, 2)

Front

What are the three types of rigid transformations?

Back

Translation, Reflection, Rotation.

Front

What is a translation in geometry?

Back

A transformation that moves every point of a figure the same distance in a specified direction.

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 rotation in geometry?

Back

A transformation that turns a figure around a fixed point at a certain angle.

Front

What does it mean for two figures to be congruent?

Back

They have the same shape and size, but may be in different positions or orientations.

Front

Identify the rigid transformation: A figure is turned 90 degrees clockwise around a point.

Back

Rotation.

Front

Identify the rigid transformation: A figure is flipped over the x-axis.

Back

Reflection.