Rigid Transformations Practice

Front

What is a translation in geometry?

Back

A translation is a rigid transformation that moves every point of a shape the same distance in a specified direction.

Front

Write the rule for the translation that moves a point 2 units to the right and 1 unit down.

Back

(x + 2, y - 1)

Front

True or False: A point reflected across a line of symmetry remains the same distance from the line.

Back

True

Front

What are congruent figures?

Back

Figures that are the same size, same shape, and have the same angles.

Front

Which transformation involves flipping a shape over a line?

Back

Reflection.

Front

What is a rotation in geometry?

Back

A rotation is a rigid transformation that turns a shape around a fixed point at a certain angle.

Front

If a shape is rotated 90 degrees clockwise, what is the new position of the points?

Back

The x-coordinates and y-coordinates of the points switch places, and the new x-coordinate is the negative of the original y-coordinate.

Front

What does it mean to reflect a shape across the x-axis?

Back

To reflect a shape across the x-axis, you invert the y-coordinates of each point of the shape.

Front

Describe the sequence of transformations: Reflect across the x-axis and then rotate -90 degrees around the origin.

Back

First, reflect the shape over the x-axis, then rotate the resulting shape 90 degrees clockwise around the origin.

Front

What is the result of translating a shape up by 3 units?

Back

Every point of the shape moves vertically upward by 3 units.