Transformations Review

What's on the Test?

Here is what you need to know...

Translations

Reflections

Rotations

Series of Transformations

Some text here about the topic of discussion

Multiple Choice

Identify the transformation.

• Reflection across y-axis

• 90 Rotation counter clockwise

• Translation 5 units left, 1 unit up.

• Translation 5 units right, 1 unit down

Multiple Choice

Name the transformation.

• Translation

• Reflection

• Rotation

Multiple Choice

Flipping a figure is a ...

• Rotation

• Reflection

• Dilation

• Translation

Multiple Choice

What Transformation is visible?

• Translation

• Rotation

• Dilation

• Reflection

​Translations

Move the shape left/right or up/down.

Subject | Subject

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​- Name of Author

How do we translate?

​To go from ABC to A'B'C' you go left 4 and up 5.

​

(x-4, y + 5)​

Multiple Choice

Translate the blue shape to the pink shape...

• 5 Right

  2 Down

• 5 Left

  2 Up

• 3 Right

  1 Down

• 3 Left

  1 Up

Multiple Choice

Translate shape A to shape B...

• 5 Right

  3 Up

• 5 Left

  3 Down

• 3 Right

  3 Up

• 3 Left

  3 Down

Multiple Choice

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

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

Multiple Choice

What rule describes the translation?

• (x - 6, y + 2)
• (x - 2, y + 6)
• (x + 2, y - 6)
• (x + 6, y - 2)

Reflections

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​over the x-axis

​over the y-axis

Multiple Choice

Is the reflection shown a reflection over the x or y axis?

• x axis

• y axis

Multiple Choice

Is the reflection shown a reflection over the x or y axis?

• x axis

• y axis

Multiple Choice

Reflect Point C over the y-axis:

• (-3, 2)
• (3,2)
• (-2,3)
• (3,0)

Multiple Choice

Which answer shows a reflection across the x-axis?

• d
• c
• b
• a

Multiple Choice

Reflect (6, -3) over the line x-axis.

• (6, 3)
• (-6, -3)
• (-3, 6)
• (3, -6)

Multiple Choice

Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?

• (-2, 6)
• (2, 6)
• (-6, -2)
• (6, 2)

Rotations

When you rotate, you change quadrants.

90 - 1 turn

180 - 2 turns

270​ - 3 turns

when you rotate 90 and 270, switch and then use the coordinate plane to determine what is positive and what is negative.

​

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​This is a 90 degree rotation clockwise = 270 degree counter clockwise rotation

​(4,3)

​

Rotated 90 CCW

Rotated 180

Rotated 270 CCW​

​(-2,1)

​

Rotated 90 CCW

Rotated 180

Rotated 270 CCW​

​(2,-3)

​

Rotated 90 CCW

Rotated 180

Rotated 270 CCW​

​(-4,-1)

​

Rotated 90 CCW

Rotated 180

Rotated 270 CCW​

Multiple Choice

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise

Multiple Choice

What is the angle of rotation for this counterclockwise rotation about the origin?

• 90°
• 180°
• 270°
• 360°

Multiple Choice

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

• (-4,-3)
• (-4,3)
• (4,-3)
• (3,4)

Multiple Choice

Triangle C is rotated 180° clockwise 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

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

• (-8,5)
• (8,-5)
• (8,5)
• (5,-8)

Multiple Choice

Identify the transformation from A to D.

• 90^o Clockwise Rotation
• 180^o Rotation
• 270^o  clockwise Rotation
• 360^o Rotation

​Multiple Transformations

Multiple Transformations occur at the same time. You must be specific in what is occuring. ​

Some text here about the topic of discussion

Multiple Choice

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that ΔABC≅ΔDEF

• Reflect △ABC across the x-axis, then translate it right 1

• Reflect △ABC across the y-axis, then translate it right 1

• Reflect △ABC across the x-axis, then translate it left 1

• Reflect △ABC across the y-axis, then translate it left 1

Multiple Choice

What sequence of transformations will get you from shape 1 to shape 3 in two steps?

• Reflection, then Translation

• Translation, then Rotation

• Reflection, then Rotation

• Rotation, then Translation

Multiple Choice

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

• a reflection followed by a rotation

• a reflection followed by a translation

• a translation followed by a rotation

• a translation followed by a reflection

Multiple Choice

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin

• Rotate -90 degrees around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees about the origin.

Multiple Choice

What is the sequence of transformations?

• Reflect over the y then reflect over the x

• Reflect over the x then reflect over the y

• Translate 4 units then rotate 90˚

• Rotate 90˚ then reflect over the x