Rigid Transformations Practice Problems

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Select all the angles of rotation that produce symmetry for this flower. Description:

Flower on polar grid. Grid is made up of 3 circles with the same center. Flower is made up of 4 congruent petals. 2 petals on top half of grid, 2 petals on bottom. Petal length reaches the third outermost circle on the grid.

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

• 120 degrees

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From Unit 1, Lesson 16.

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From Unit 1, Lesson 11.

Translations, rotations, and reflections are three different types of what?

• Transformations

• Geometry

• Vectors

• Shapes

Answer explanation

They are all types of transformations because they transform a figure (position and orientation) on a coordinate plane.

"Sliding" a figure is a _________.

• Translation

• Reflection

• Rotation

• Transformation

Answer explanation

Sliding a figure is a translation, because the figure "slides" on the graph without changing the orientation of the figure.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

This transformation takes the geometric figure and "flips" it over a line.

• rotation

• translation

• dilation

• reflection

Answer explanation

"Flipping" a figure over the line results in a reflected version of the figure. This is why we call it a reflection.

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The mathematical term for the line that you reflect a shape over is the...

• Mirror

• Reflective tape

• Line that you reflect over

• Line of reflection

Answer explanation

The line that a figure is reflected over is called the line of reflection.

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CCSS.HSG.CO.A.2

A transformation that “turns” a figure, which one is it?

• rotation

• translation

• reflection

• dilation

Answer explanation

When a figure is turned, this type of movement is called a rotation.

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which type of rotation will not change the orientation of an object?

• 90^o rotation

• 180^o rotation

• 270^o rotation

• 360^o rotation

Answer explanation

360 degree rotation does not change the orientation because it is a full rotation and will result in the figure being back where it started.

All other rotations result in the figure changing orientation.

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CCSS.8.G.A.3

What two transformations could be happening in this picture? Select all that apply.

• reflection and translation

• rotation and translation

• reflection and rotation

Answer explanation

The figure must be either rotated 180 degrees OR reflected across the y-axis to be oriented the way it is.

Then, a translation would slide the figure into its current position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5