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Lesson: Combining Transformations

Learn how to identify the image after transformations have been combined, and identify a single transformation that is equivalent to a combination of transformations. This lesson covers combinations of reflection, translation, rotation.

Worksheet: Combining Transformations • 23 Questions

Q1:

If there exists a combination of rotations, reflections, and translations that would map one shape to another, would the two shapes be congruent?

Ayes
Bno

Q2:

Reflect Triangle in the -axis and then in the -axis. Which triangle is its image?

Q3:

Reflect Triangle in the -axis and then in the -axis. Which triangle is its image?

Q4:

In the given figure, triangle has been transformed to triangle by reflecting first in the -axis and then reflecting in the axis. What single transformation would have mapped to ?

Aa rotation about the origin of
Ba reflection in the -axis
Ca rotation about the origin of
Da rotation about the origin of
Ea reflection in the line

Q5:

In the given figure, triangle has been transformed to triangle . Which of the following sequences of transformation could have been used?

Aa reflection in the -axis followed by a translation four right and two up
Ba rotation about the point followed by a translation three right
Ca rotation about the point followed by a translation three right
Da reflection in the -axis followed by a translation four right and four up
Ea rotation about the point followed by a translation three right

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