Transformations and Dilations

Transformations and Dilations

by Charles Neal

Multiple Choice

A type of transformation where a geometric figure slides horizontally, vertically, or both.

• dilation

• translation

• rotation

• reflection

Multiple Choice

A reflection ____________________.

• turns a figure around a point.

• slides an object form one place to another.

• flips or mirrors an object across a line.

• changes the size of an object.

Multiple Choice

A transformation that “turns” a figure about a fixed point is a _____________________.

• rotation

• translation

• reflection

• dilation

Multiple Choice

Translated figures are always __________________.

• Congruent

• Bigger

• Smaller

• Rotated

Multiple Choice

What type of transformation is this?

• Rotation

• Reflection

• Translation

• Enlargement

Multiple Choice

The image shows what type of transformation

• Rotation
• Translation
• Reflection

Multiple Choice

If the dotted figure is the image, the original figure was reflected over the ...

• x-axis

• y-axis

• rotation 180

• translation 4 left

Multiple Choice

Describe the transformation shown in the graph.

• Reflect over x-axis
• Reflect over y-axis
• Rotate 270 degrees CCW
• Rotate 90 degress CCW

Multiple Choice

Write a rule for the translation.

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

Multiple Choice

A dilation is which of the following: 

• only an enlargement
• only a reduction
• Either an enlargement or a reduction
• Neither an enlargement or a reduction

Multiple Choice

A dilation produces a similar figure

• True
• False

Multiple Choice

A dilation produces a congruent figure

• True

• False

Multiple Choice

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True
• False

Multiple Choice

When the scale factor of a dilation is less than one, the dilation is a reduction.

• True
• False

Multiple Choice

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

Multiple Choice

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

Multiple Choice

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

​Lesson Summary

​Translations move each point the same distance and same direction.

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Rotations move each point the around a center point the same amount of degrees.

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​Reflections move each point the same distance across a line of reflection.

​

​Dilations enlarge or shrink a shape by the same scale factor.

​Practice IXL 8th Grade

​R.4: Identify Reflections, Rotations, and Translation

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R.7: Translations - Find the Coordinates

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​R.12: Reflections - Find the Coordinates

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​R.14: Rotations - Find the Coordinates

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S.3: Dilations - Find the Coordinates