Transformations on the Coordinate Plane

Multiple Choice

Which of the following best describes a rigid transformation in geometry?

• A transformation that changes the size of a figure

• A transformation that changes the shape of a figure

• A transformation that preserves the size and shape of a figure

• A transformation that only changes the color of a figure

Multiple Choice

Which of the following transformations will always result in congruent figures?

• Translation, Rotation, Reflection

• Dilation, Translation, Rotation

• Reflection, Dilation, Translation

• Rotation, Dilation, Reflection

Multiple Choice

Determine how to translate triangle A'B'C' to triangle ABC.

• (x+2, y-5)
• (x+2, y-9)
• (x-2, y-9)

Multiple Choice

The triangles on the grid below represent a translation. To form the image, the pre-image moved

• five units right and three units up.

• two units right and three units up.

• five units left and three units down.

• two units left and three units down.

Multiple Choice

How is Quadrilateral EFGH translated to E'F'G'H'?

• 6 down
•  1 right, 6 down
•  3 left, 6 down
• , 8 down,1 right

Multiple Choice

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Rotation Rules

If you cannot detect the pattern, you can also memorize the rotation rules.

Multiple Choice

Quadrilateral ABCD is shown on the coordinate grid. Mrs. Berger will rotate the figure 90 degrees counter-clockwise to create quadrilateral A’B’C’D’. Which ordered rule describes this transformation?

• (x, y) → (y,-x)

• (x, y) → (-y, x)

• (x, y) → (-y,-x)

• (x, y) → (x-6, y)

Each Quadrant a shape moves is 90 degrees.

To the right is clockwise

To the left is counterclockwise

Rotations

Multiple Choice

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise

Multiple Choice

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D

Multiple Choice

The red triangle represents what type of rotation:

• 180° Clockwise or counter clockwise
• 90° clockwise
• 90° counter clockwise

Multiple Choice

The red triangle represents what type of rotation:

• 180° Clockwise
• 90° Clockwise
• 90° Counter Clockwise
• 270° Clockwise

Multiple Choice

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

Multiple Choice

Which axis is the vertical (up-down) one?

• x-axis
• y-axis

Multiple Choice

Which axis is the horizontal (left-right) one?

• x-axis
• y-axis

Multiple Choice

Which graph shows the pre-image reflected over y-axis?

Multiple Choice

Which graph shows a reflection over the Y-axis to quadrilateral ABCD (3, 4), B (1, 4), C (0, 1), D (4, 1)?

• A

• B

• C

• D

Multiple Choice

Which answer shows a reflection across the x-axis?

• d
• c
• b
• a

Multiple Choice

Which answer shows a reflection across the y-axis?

• a
• b
• c
• d

Name that Transformation!

Multiple Choice

What kind of transformation is this?

• Translation

• Reflection

• Rotation

Multiple Choice

What kind of transformation is this?

• Translation

• Rotation

• Reflection

Multiple Choice

What kind of transformation is this?

• Rotation

• Reflection

• Translation

Multiple Choice

What kind of transformation is this?

• Reflection

• Translation

• Rotation

Multiple Choice

What kind of transformation is this?

• Rotation

• Reflection

• Translation

Multiple Choice

What kind of transformation is this?

• Reflection

• Rotation

• Translation

Multiple Choice

What kind of transformation is this?

• Translation

• Reflection

• Rotation

Multiple Choice

What kind of transformation is this?

• Rotation

• Translation

• Reflection