Rigid Transformations Practice Problems

Which triangle is the image of triangle B after a rotation of 270^o clockwise around the origin?

• Triangle B

• Triangle C

• Triangle A

• Triangle D

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)

• (x, y) → (x - 2, y + 3)

• (x, y) → (-x, -y)

• (x, y) → (x + 2, y + 3)

• (x, y) → (x + 3, y -2)

Determine where Point X' would be if you translated Point x 3 units left and 9 units down.

• (-5, -4)

• (-1, -7)

• (-4, -5)

• (-1, 5)

What is the rule for the following reflection?

• Reflection across y = 3

• Reflection across x = −3

• Reflection across x = 3

• Reflection across y = −3

Describe the rotation.

• Rotation 90^o counter clockwise around the origin

• Rotation 90^o clockwise around the origin

• Rotation 270^o counter clockwise around the origin

• Rotation 180^o counter clockwise around the origin

The red triangle represents what type of rotation:

• 180° clockwise or counter clockwise around the origin

• 90° clockwise around the origin

• 90° counter clockwise around the origin

What is the transformation shown?

• Rotation 90 degrees clockwise

• Reflection over y= -1

• Reflection over x-axis

• Reflection over x= -1

When a figure is translated, what is true? Select all that apply.

• The image has the same coordinates as the preimage.

• All the coordinates from the image have moved in the same direction.

• Corresponding segments are parallel.

• The image and preimage are congruent.

• The image is a different size compared to the preimage.

When a figure is reflected, what is true? Select all that apply.

• The line of reflection is the perpendicular bisector of corresponding vertices.

• Corresponding vertices are equidistant from the line of reflection.

• The image moves a specified distance to the right, left, up or down.

• The image and preimage are congruent.

• The image is a different size compared to the preimage.

When a figure is rotated, what is true? Select all that apply.

• Corresponding vertices are equidistant from the center of rotation.

• You need to know the angle of rotation, center of rotation, and the direction.

• The image flips over a specific line.

• The image and preimage are congruent.

• The image is a different size compared to the preimage.