**Q3: **

The triangles and in the figure are similar. Which of the following statements justifies this?

- A Triangle can be mapped onto triangle by a sequence of transformations: first, a dilation by a scale factor of three from point , and then a translation of the image eight down.
- B Triangle can be mapped onto triangle by a sequence of transformations: first, a reflection in the , and then a translation of the image four right.
- C Triangle can be mapped onto triangle by a sequence of transformations: first, a reflection in the , and then a dilation of the image by a scale factor of three from point .
- D Triangle can be mapped onto triangle by a sequence of transformations: first, a dilation by a scale factor of three from point , and then a reflection of the image in the .
- E Triangle can be mapped onto triangle by a sequence of transformations: first, a dilation by a scale factor of three from point , and then a translation of the image two down.

**Q4: **

A transformation maps point to point . We say that is the of .

- Apostimage
- Bpreimage
- Cimage

**Q5: **

A transformation maps point to point . We say that is the of .

- Apostimage
- Bimage
- Corigin
- Dpreimage
- Efigure

**Q6: **

Does there exist a series of similarity transformations that would map quadrilateral to quadrilateral ? If yes, explain your answer.

- A Yes, quadrilateral could be dilated by a scale factor of 2 and then rotated to quadrilateral .
- B Yes, quadrilateral could be dilated by a scale factor of 3, rotated, and then reflected to quadrilateral .
- C Yes, quadrilateral could be dilated by a scale factor of 3 and then reflected to quadrilateral .
- D Yes, quadrilateral could be dilated by a scale factor of 2, rotated, and then reflected to quadrilateral .
- EThere is no series of similarity transformations.

**Q7: **

Triangle can be reflected and then translated onto .

Determine the length of .

Determine the measure of angle .

**Q8: **

The triangle with vertices , , and was transformed to , , and and then to , , and . Which of the following describes these transformations?

- AIt was translated 2 units left and 5 units up, and then it was rotated clockwise about the point .
- BIt was translated 2 units right and 5 units down, and then it was rotated counterclockwise about the point .
- CIt was rotated counterclockwise about the point , and then it was translated 2 units right and 5 units down.
- DIt was translated 2 units left and 5 units up, and then it was rotated clockwise about the point .

**Q9: **

The triangle with vertices , , and was transformed to , , and and then to , , and . Which of the following describes these transformations?

- AIt was translated 5 units right and 2 units down, and then it was rotated counterclockwise about the point .
- BIt was translated 5 units left and 2 units up, and then it was rotated clockwise about the point .
- CIt was rotated clockwise about the point , and then it was translated 5 units left and 2 units up.
- DIt was translated 5 units right and 2 units down, and then it was rotated counterclockwise about the point .

**Q10: **

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

Describe the single transformation that maps onto .

- Aa dilation from the point by a scale factor of 3
- Ba reflection in the -axis
- Ca translation two left
- Da reflection in the -axis
- Ea translation two right

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
- Ca dilation from the point by a scale factor of 3
- Da reflection in the -axis
- Ea reflection in the -axis

Hence, are quadrilaterals and similar?

- Ano
- Byes

**Q11: **

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

**Q12: **

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 translation two left and two down
- Da dilation from the point by a scale factor of 3
- Ea translation two right and two up

Describe the single transformation that maps onto .

- Aa rotation counterclockwise about the point
- Ba translation six left
- Ca counterclockwise rotation about the point
- Da counterclockwise rotation about the point
- Ea translation six right

Hence, are triangles and similar?

- Ano
- Byes

**Q13: **

Find the image of point after translation by followed by a rotation about the origin through an angle of .

- A
- B
- C
- D
- E

**Q14: **

Find the image of point after translation by followed by a rotation about the origin through an angle of .

- A
- B
- C
- D
- E

**Q15: **

Find the image of point after translation by followed by a rotation about the origin through an angle of .

- A
- B
- C
- D
- E

**Q16: **

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

- A
- B
- C
- D

**Q17: **

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

- A
- B
- C
- D

**Q18: **

Which of the following statements will be true for two triangles that are
*similar*.

- AOne triangle can sometimes (but not always) be mapped to the other by a translation, reflection, rotation, dilation, or a combination of these transformations.
- BOne triangle can always be mapped to the other by a translation, reflection, rotation, or a combination of these transformations.
- COne triangle can always be mapped to the other by a translation, reflection, rotation, dilation, or a combination of these transformations.

**Q19: **

In the given figure, what combination of transformations would map circle onto circle ?

- Aa translation of six right and four up, followed by a dilation of scale factor
- Ba translation of four left and six down, followed by a dilation of scale factor
- Ca translation of four left and six down, followed by a dilation of scale factor
- Da translation of six left and four down, followed by a dilation of scale factor
- Ea translation of four left and six up, followed by a dilation of scale factor

**Q20: **

Does there exist a series of similarity transformations that would map triangle to triangle ? If yes, explain your answer.

- A Yes, triangle could be dilated by a scale factor of 3 and then reflected.
- B Yes, triangle could be dilated by a scale factor of 2 and then reflected.
- C Yes, triangle could be dilated by a scale factor of 2 and then rotated.
- D Yes, triangle could be dilated by a scale factor of 3, rotated, and then reflected.
- E No series of similarities exists because the two triangles are of different sizes.

**Q21: **

In the given figure, what combination of transformations would map circle onto circle ?

- A a translation of six left and two up followed by a dilation of scale factor one
- B a translation of two right and six down followed by a dilation of scale factor two
- C a translation of two left and six up followed by a dilation of scale factor two
- D a translation of six right and two down followed by a dilation of scale factor two
- E a translation of four left and two down followed by a dilation of scale factor one