Math Transformations

What type of transformation is it when a figure is flipped over a line?

• Rotation

• Translation

• Reflection

• Dilation

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CCSS.HSG.CO.A.4

In a translation, does the shape change its orientation?

• Yes

• Sometimes

• No

• Only on weekends

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CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

What is the result of rotating a shape 90 degrees clockwise?

• The result of rotating a shape 90 degrees clockwise is equivalent to a 270 degrees counterclockwise rotation.

• The result of rotating a shape 90 degrees clockwise is equivalent to a 360 degrees counterclockwise rotation.

• The result of rotating a shape 90 degrees clockwise is equivalent to a 180 degrees counterclockwise rotation.

• The result of rotating a shape 90 degrees clockwise is equivalent to a 90 degrees counterclockwise rotation.

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CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.3

If a figure is reflected over the x-axis, what happens to the y-coordinates?

• The y-coordinates are negated.

• The y-coordinates are added to the x-coordinates.

• The y-coordinates are divided by 3.

• The y-coordinates are multiplied by 2.

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CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

CCSS.HSG.CO.A.5

Describe the transformation when a shape is moved without rotating or flipping it.

• Reflection

• Dilation

• Translation

• Rotation

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CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

CCSS.HSG.CO.A.5

What is the effect of a 180-degree rotation on a shape?

• The shape is flipped upside down.

• The shape is compressed horizontally.

• The shape is stretched vertically.

• The shape is mirrored along the x-axis.

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CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

When a figure is reflected over the y-axis, what happens to the x-coordinates?

• The x-coordinates remain the same.

• The x-coordinates double.

• The x-coordinates change sign.

• The x-coordinates become negative.

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CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

CCSS.HSG.CO.A.5

In a translation, does the shape change its size?

• Only on weekends

• No

• Sometimes

• Yes

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CCSS.HSG.CO.A.2

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

What is the result of rotating a shape 270 degrees counterclockwise?

• The result of rotating a shape 270 degrees counterclockwise is the same as rotating it 360 degrees clockwise.

• The result of rotating a shape 270 degrees counterclockwise is the same as rotating it 180 degrees clockwise.

• The result of rotating a shape 270 degrees counterclockwise is the same as rotating it 90 degrees clockwise.

• The result of rotating a shape 270 degrees counterclockwise is the same as flipping it vertically.

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CCSS.8.G.A.1

CCSS.8.G.A.3

Explain the difference between a translation and a rotation.

• Translation involves flipping the object, while rotation involves moving it along a straight line.

• In translation, the object moves without changing its orientation, while in rotation, the object turns around a fixed point.

• Translation is a 2D transformation, while rotation is a 3D transformation.

• In translation, the object changes its shape, while in rotation, the object remains the same.

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CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4