 New Zealand
Level 6 - NCEA Level 1

Combined Transformations on the Cartesian Plane

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° anticlockwise 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° anticlockwise about the origin. Ensure that you have performed both transformations before submitting your answer.

Outcomes

GM6-8

Compare and apply single and multiple transformations

GM6-9

Analyse symmetrical patterns by the transformations used to create them

91034

Apply transformation geometry in solving problems