# Worksheet: Reflections

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.

Q2:

The points , , and form a triangle. Without graphing, determine their coordinates after a reflection in the -axis, followed by a reflection in the-axis.

• A , ,
• B , ,
• C , ,
• D , ,
• E , ,

Q3:

The given figure shows triangle after a reflection in the -axis. Determine the original coordinates of point .

• A
• B
• C
• D
• E

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.

Q19:

The given figure shows triangle after a reflection in the -axis. Determine the original coordinates of point .

• A
• B
• C
• D
• E