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6.04 Compositions of transformations

Adaptive
Worksheet

Interactive practice questions

Point $A$A on the plane is to undergo two successive transformations.

a

First plot point $A'$A, which is the result when point $A$A is translated $2$2 units right.

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b

Now plot point $A''$A, which is the result when point $A'$A is rotated $90^\circ$90° clockwise about the origin.

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Easy
1min

Point $A$A on the plane is to undergo two successive transformations.

Easy
1min

For the point on the plane, plot the point that will result from a translation of $5$5 units right followed by a rotation of $90^\circ$90° counterclockwise about the origin.

Ensure that you have performed both transformations before submitting your answer.

Medium
1min

For the point on the plane, plot the point that will result from a translation of $3$3 units upwards followed by a rotation of $90^\circ$90° counterclockwise about the origin.

Ensure that you have performed both transformations before submitting your answer.

Medium
1min
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Outcomes

M2.G.CO.A.1

Describe transformations as functions that take points in the plane (pre-image) as inputs and give other points (image) as outputs. Compare transformations that preserve distance and angle measure to those that do not, by hand for basic transformations and using technology for more complex cases.

M2.G.CO.A.4

Given a geometric figure, draw the image of the figure after a sequence of one or more rigid motions, by hand and using technology. Identify a sequence of rigid motions that will carry a given figure onto another.

M2.MP1

Make sense of problems and persevere in solving them.

M2.MP2

Reason abstractly and quantitatively.

M2.MP3

Construct viable arguments and critique the reasoning of others.

M2.MP4

Model with mathematics.

M2.MP5

Use appropriate tools strategically.

M2.MP6

Attend to precision.

M2.MP7

Look for and make use of structure.

M2.MP8

Look for and express regularity in repeated reasoning.

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