 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 $3$3 units left.

b

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

Easy
Approx 2 minutes

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

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.

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.

Outcomes

GEO-G.CO.2

Represent transformations as geometric functions that take points in the plane as inputs and give points as outputs. Compare transformations that preserve distance and angle measure to those that do not.

GEO-G.CO.4

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

GEO-G.CO.5

Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure. Specify a sequence of transformations that will carry a given figure onto another.