Lesson 9 · Transformation Using Matrix

Combined Transformation of Two Different Transformations

Optional MathematicsSubject

8 minEstimated read

Activity 1

Reflection followed by rotation

Method

On a graph, reflect the point A(4, 2) in the line y = x. Its image is A'(2, 4).
Turn the image A'(2, 4) about the origin O until it reaches the final image A''. Mark A'' on the graph.

Discussion

In which direction is the image A'(2, 4) rotated about the origin?
Through what angle must A'(2, 4) be rotated to give A''?
What are the coordinates of the final image A''?
Which single transformation represents this combined transformation? Discuss and reach a conclusion.

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