Translations and Reflections Quiz Review

Translations and Reflections Quiz Review

By Rebecca Burris

• Translations "slide" each point of a figure in the same direction and the same distance.

• Translations on the x-coordinate can move a figure left or right.

• Translations on the y-coordinate can move a figure up or down.

• We can represent these movements with addition and subtraction.​

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Translations

• The figure BEFORE the translation is performed is called the PRE-IMAGE.

• The PRE-IMAGE will have points such as A, B, C, etc.

• The figure AFTER the translation is performed is called the IMAGE.​

• The IMAGE will have points such as A', B', C', etc.​

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Translations

In the picture to the right, the Pre-image is the blue triangle.

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To move from the blue triangle to the red triangle, we moved 4 to the left, and 5 up.

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This rule can be written using the rule: (x,y) --> (x - 4, y + 5).​

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Translation Rules

Multiple Choice

Which figure represents the pre-image?

• Black Figure

• Blue Figure

Multiple Choice

Which figure represents the image?

• Black Figure

• Blue Figure

Multiple Choice

When translating left or right on a coordinate plane, what coordinate is affected?

• x-coordinate

• y-coordinate

Multiple Choice

When translating up or down on a coordinate plane, what coordinate is affected?

• x-coordinate

• y-coordinate

Multiple Choice

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right
• Translated 5 units down and 1 to the right
• Translated 8 units down and 5 units to the right
• Translated 5 units down and 4 units to the right

Multiple Choice

Write the rule for this translation:

Slide 5 up and 7 right

• (x, y)---->(x + 5, y + 7)

• (x, y)-----> (x + 7, y + 5)

• (x, y)----> (x - 7, y + 5)

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 - 2, y + 9)

• Reflections "flip" a figure over a line.

• Reflections produce a mirror image.​

• ​A reflection will produce an image that is the same shape and size as the pre-image.

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Reflections

• The figure BEFORE the reflection is performed is called the PRE-IMAGE.

• The PRE-IMAGE will have points such as A, B, C, etc.

• ​

• The figure AFTER the reflection is performed is called the IMAGE.​

• The IMAGE will have points such as A', B', C', etc.

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Reflections

Reflection Rules

Multiple Choice

Which answer shows a reflection across the x-axis?

• d
• c
• b
• a

Multiple Choice

Reflect Point C over the y-axis:

• (-3, 2)
• (3,2)
• (-2,3)
• (3,0)

Multiple Choice

Is the picture being reflected in the y-axis or x-axis?

• y-axis
• x-axis

Multiple Choice

Reflect over x-axis. Which point would be at (3, -6)

• A
• B
• C
• H

Multiple Choice

What is this transformation?
(x, y) ----> (-x, y) 

• Reflect over the x axis
• Reflect over the y-axis
• Slide down 1
• slide left 1

Multiple Choice

B(-2, -4)
Reflect over the line y = x

• (2, -4)
• (-4, 2)
• (-4, -2)
• (4, 2)

Multiple Choice

What point do you get if you reflect the point ( -6,1) over the line y = -x?

• (-1,-6)

• (6,-1)

• (1,6)

• (-1,6)

Multiple Choice

Reflections over the x-axis change the __________.

• y-coordinate

• x-coordinate

Multiple Choice

Reflections over the y-axis change the ___________.

• y-coordinate

• x-coordinate

• y-axis

• x-axis

Multiple Choice

Plot A(4,1) B(5,4) C(1,2). Reflect it over the x-axis, then translate it 3 units left. What are the coordinates of A'B'C'?

• A' (-1, -1) B' (-2, -4) C' (2, -2)

• A' (4, -4) B' (5, -7) C' (1, -5)

• A' (-7, 1) B' (-8, 4) C' (-4, 2)

• A' (1, -1) B' (2, -4) C' (-2, -2)