In this worksheet, we will practice identifying an image, an object, and a mirror line and applying this knowledge in various situations.

**Q1: **

A rectangle is reflected in and a larger rectangle is formed by joining and its reflection. Given that and , find the perimeter of the larger rectangle.

**Q4: **

Given that is the image of after a reflection in the line, give the coordinates of , and .

- A is , is , is
- B is , is , is
- C is , is , is

**Q5: **

Points and have coordinates and respectively. Given that is the image of after a reflection in the -axis, find the perimeter of .

**Q6: **

is a rectangle, and the point is the reflection of in . If , what is ?

**Q7: **

What are the coordinates of the reflection, in the line , of the point ?

- A
- B
- C
- D
- E

**Q8: **

In the figure, is a square with centre . Find the image of the square after a reflection in .

- A
- B
- C
- D

**Q9: **

What type of transformation is the following?

- Atranslation
- Brotation
- Creflection

**Q10: **

The point is reflected to the point . Was the line of reflection horizontal or vertical?

- Ahorizontal
- Bvertical

**Q11: **

Points , , , , , and are the vertices of a polygon. List their images after a reflection in the vertical line through .

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

**Q12: **

What is the image of the point under reflection in the straight line ?

- A
- B
- C
- D
- E

**Q13: **

The image of the point is when reflected in a line. Find the equation of the line of reflection.

- A
- B
- C
- D
- E

**Q14: **

The graph of a function is transformed by mapping each point on the function to the point . This image is a reflection of in

- Athe -axis
- Bthe line
- Cthe -axis
- Dthe line
- Ethe line

**Q15: **

Across which line has been reflected to get ?

- A
- B
- C

**Q16: **

If is the image of by reflection in the point , , , and , find the length of and the value of .

- A 32 cm, 4
- B 6 cm, 11
- C 12 cm, 15
- D 12 cm, 4

**Q17: **

Find the image of by reflection in .

- A
- B
- C
- D

**Q18: **

Suppose that . What is the relation between lines and ?

- A They are parallel.
- B They are perpendicular.
- C They are mirror images in .
- D They are mirror images in .
- EIt cannot be determined.