Unit 1.1.1 Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the figure's dimensions and angles remain unchanged.

Front

What are the types of rigid transformations?

Back

The types of rigid transformations include translations, rotations, and reflections.

Front

How do you translate a point in a coordinate plane?

Back

To translate a point, you add a specific value to the x-coordinate and a specific value to the y-coordinate.

Front

What is the result of translating the point (2, 3) by 4 units left and 5 units down?

Back

The new coordinates will be (-2, -2).

Front

What does a 90° clockwise rotation do to a point (x, y)?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

What is the effect of reflecting a point across the y-axis?

Back

Reflecting a point (x, y) across the y-axis results in the point (-x, y).

Front

What is the effect of reflecting a point across the x-axis?

Back

Reflecting a point (x, y) across the x-axis results in the point (x, -y).

Front

How do you perform a 180° rotation on a point (x, y)?

Back

A 180° rotation transforms the point (x, y) to (-x, -y).

Front

What is the result of reflecting a shape over the y-axis and then translating it 4 units to the right?

Back

The shape will be mirrored across the y-axis and then shifted 4 units to the right.

Front

If a quadrilateral is translated 5 units down and 4 units to the right, what is the new position of the point (1, 2)?

Back

The new position will be (5, -3).