In this worksheet, we will practice identifying a set of transformations that are applied to a specified figure.

**Q1: **

The triangle has been transformed onto triangle which has then been transformed onto triangle .

Describe the single transformation that maps onto .

- Aa dilation from the point by a scale factor of 3
- Ba dilation from the point by a scale factor of 2
- Ca rotation of clockwise about the point
- Da dilation from the point by a scale factor of 3
- Ea rotation of about the point

Describe the single transformation that maps onto .

- Aa rotation of about the point
- Ba rotation of clockwise about the point
- Ca rotation of about the point
- Da rotation of about the point
- Ea rotation of counterclockwise about the point

Hence, are triangles and similar?

- Ano
- Byes

**Q2: **

A shape has been reflected in the line and then rotated clockwise about the origin to . Would and be congruent?

- A yes
- B no

**Q3: **

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

- A a reflection in the -axis followed by a translation four right and four up
- B a rotation about the point followed by a translation three right
- C a rotation about the origin followed by a translation three up
- D a rotation about the point followed by a translation three right
- Ea reflection in the line followed by a reflection in the -axis

**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 ?

- A a rotation about the origin of
- B a reflection in the line
- C a reflection in the -axis
- D a rotation about the origin of
- Ea rotation about the origin of

**Q6: **

Starting with triangle , , and , apply the transformations: 1. reflect in the -axis, 2. reflect in the -axis, and 3. translate by 3 units right and 3 units up. What are the images of the vertices?

- A , ,
- B , ,
- C , ,
- D , ,
- E , ,

**Q7: **

The triangle has been transformed onto triangle which has then been transformed onto triangle then transformed onto as seen in the figure.

Describe the single transformation that would map onto .

- Aa counterclockwise rotation about
- Ba clockwise rotation about
- Ca clockwise rotation about
- Da counterclockwise rotation about
- Ea translation one left and three up

Describe the single transformation that would map onto .

- Aa reflection in the line
- Ba translation two up
- Ca clockwise rotation about
- Da clockwise rotation about
- Ea rotation about

Describe the single transformation that would map onto .

- Aa translation three left and two down
- Ba translation two left and three up
- Ca translation three left and two up
- Da translation three right and two down
- Ea translation two right and three down

Hence, are triangles and congruent?

- Ano
- Byes

**Q8: **

The triangle has been transformed onto triangle which has then been transformed onto triangle .

Describe the single transformation that maps onto .

- Aa translation two down
- Ba translation two up
- Ca rotation clockwise about point
- Da reflection in
- Ea rotation counterclockwise about point

Describe the single transformation that maps onto .

- Aa dilation from the point by a scale factor of 2
- Ba translation two down
- Ca dilation from the point by a scale factor of
- Da dilation from the point by a scale factor of 2
- Ea translation two up

Hence, are triangles and similar?

- Ano
- Byes

**Q9: **

The triangle has been transformed onto triangle which has then been transformed onto triangle .

Describe the single transformation that maps onto .

- A a clockwise rotation about the origin
- B a counterclockwise rotation about the origin
- Ca dilation from the origin by a scale factor of 2
- Da clockwise rotation about the origin
- Ea dilation from point by a scale factor of 2

Describe the single transformation that maps onto .

- Aa dilation from the origin by a scale factor of 2
- B a clockwise rotation about point
- C a clockwise rotation about point
- Da dilation from the origin by a scale factor of 3
- Ea dilation from point by a scale factor of 2

Hence, are triangles and similar?

- Ano
- Byes

**Q10: **

The triangle has been transformed onto triangle which has then been transformed onto triangle .

Describe the single transformation that maps onto .

- Aa reflection in the -axis
- Ba translation three up and one right
- Ca reflection in the -axis
- Da translation three right and one up
- Ea translation two right and three up

Describe the single transformation that maps onto .

- Aa dilation from the origin by a scale factor of 2
- Ba dilation from point by a scale factor of
- Ca translation one right and two up
- Da translation one left and two up
- Ea dilation from point by a scale factor of

Hence, are triangles and similar?

- Ano
- Byes

**Q11: **

The triangle has been transformed onto triangle which has then been transformed onto triangle as seen in the figure.

Describe the single transformation that would map to .

- Aa rotation of about
- Ba rotation of about
- Ca rotation of clockwise about point
- Da reflection in the line
- Ea rotation of clockwise about point

Describe the single transformation that would map to .

- Aa rotation of clockwise about point
- Ba rotation of clockwise about point
- Ca translation two right
- Da rotation of counterclockwise about point
- Ea rotation of counterclockwise about point

Hence, are triangles and congruent?

- Ano
- Byes