topic badge

9.04 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.

Loading Graph...
b

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

Loading Graph...
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
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

I.G.CO.2

Represent transformations in the plane using, e.g. Transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g. Translation versus horizontal stretch).

I.G.CO.4

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

I.G.CO.5

Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g. Graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

What is Mathspace

About Mathspace