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4.06 Compositions of transformations

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.

Easy
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.

Easy
1min
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Outcomes

G.CO.A.2

Represent transformations in the plane, and describe them as functions that take points in the plane as inputs and give other points as outputs.

G.CO.A.4

Develop definitions of rotations, reflections and translations in terms of angles, circles, perpendicular lines, parallel lines and line segments.

G.CO.A.5

Demonstrate the ability to rotate, reflect or translate a figure, and determine a possible sequence of transformations between two congruent figures.

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