In this worksheet, we will practice identifying different geometric transformations.

**Q3: **

What kind of transformation is shown in the figure?

- Aa rotation
- Ba translation
- Ca reflection

**Q5: **

What kind of transformation is shown in the figure?

- Aa translation
- Ba reflection
- Ca rotation

**Q6: **

What kind of transformation is shown in the figure?

- Aa translation
- Ba rotation
- Ca reflection

**Q8: **

A figure is mapped two units to the left and three units down. Which of the transformations has been used?

- Aa reflection
- Ba rotation
- Ca translation

**Q9: **

What rotation about will map onto ?

- A
- B
- C
- D

**Q10: **

James saw the following sign. Is the second a translation, reflection, or rotation of the first ?

- Aa translation
- Ba reflection
- Ca rotation

**Q12: **

has been dilated from the centre .

What do you notice about the distance from the point to and the distance from the point to the image?

- AThe distance from to the image is twice the distance from to .
- BThe distance from to the image is three times the distance from to.
- CThe distance from to the image is half the distance from to .
- DThe distance from to the image is four times the distance from to .
- EThe distance from to the image is the same as the distance from to .

Hence, what is the scale factor of the dilation?

- A4
- B
- C2
- D3
- E1

**Q13: **

Which type of transformation is shown?

- A rotation or translation
- B reflection or translation
- C translation
- D reflection
- E reflection, rotation, or translation

**Q14: **

Determine whether the following transformation is a translation, reflection, or rotation.

- A translation
- B reflection
- C rotation

**Q15: **

Determine whether the following transformation is a translation, reflection, or rotation.

- A translation
- B reflection
- C rotation

**Q16: **

Determine whether the following transformation is a translation, reflection, or rotation.

- A translation
- B reflection
- C rotation

**Q17: **

A triangle has vertices at the points , , and . The image of this triangle under a transformation has vertices at the points , , and . Which transformation has taken place?

- Aa translation
- Ba rotation
- Ca reflection

**Q18: **

A transformation is applied to the triangle with vertices , , . The image has vertices , , . Which of the following transformations has taken place?

- Atranslation
- Breflection
- Crotation

**Q19: **

The vertices of a triangle are mapped using the function . Which of the following single transformations has taken place?

- Arotation
- Btranslation
- Chorizontal stretching
- Dreflection

**Q20: **

Which of the following transformations could be used to map to ?

- Arotation
- Btranslation
- Creflection
- Ddilation
- Ehorizontal stretching

**Q21: **

A transformation affects points on the -plane such that each point is mapped three units right and eight units down. Which transformation is this?

- Aa reflection
- Ba rotation
- Ca translation

**Q22: **

If the parallelogram is transformed to as shown in the figure, determine whether this transformation is a translation, reflection, or rotation.

- A a rotation
- B a reflection
- C a translation

**Q23: **

Sameh drew a triangle on a graph by using the points , , and . He then flipped the triangle across the line that runs from to . What type of transformation did he perform? Where is the third vertex of the graph located now?

- A translation,
- B translation,
- C reflection,
- D reflection,

**Q24: **

Determine whether the following transformation is a translation, reflection, or rotation.

- A a rotation
- B a reflection
- C a translation

**Q25: **

The vertices of a triangle are mapped using the function . Which of the following single transformations has taken place?

- Areflection
- Btranslation
- Chorizontal stretching
- Drotation