# Lesson Worksheet: Reflections on the Coordinate Plane Mathematics • 8th Grade

In this worksheet, we will practice finding the images of points, lines, and shapes after their reflection in the x- or y-axis on the coordinate plane.

Q1:

If a point with coordinates is reflected in the -axis, determine the coordinates of the image.

• A
• B
• C
• D
• E

Q2:

If a point with coordinates is reflected in the , determine the coordinates of the image.

• A
• B
• C
• D
• E

Q3:

What is the image of under reflection in the -axis? • A
• B
• C
• D

Q4:

Given that is the image of by reflection in the -axis, find the coordinates of the points and . • A is , is
• B is , is
• C is , is

Q5:

Find the coordinates of the images of the points , , , and after reflection in the . • A
• B
• C
• D

Q6:

List the images of the labeled points under reflection in the -axis. • A
• B
• C
• D

Q7:

What is the image of the point reflected in the -axis?

• A
• B
• C
• D
• E

Q8:

What is the image of the point after a reflection in the -axis?

• A
• B
• C
• D
• E

Q9:

Which pair of triangles represents a reflection in the -axis? • A and
• B and
• C and

Q10:

Determine the image points of the rhombus by reflection in the -axis. • A, , ,
• B, , ,
• C, , ,
• D, , ,
• E, , ,

Q11:

List the images of the points , , and , after reflection in the -axis.

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q12:

Scarlett and Mason are trying to find the coordinates of the image of after a reflection over the -axis. Scarlett’s answer was , while Mason’s answer was . Which of them is correct?

• AMason
• BScarlett

Q13:

A point is transformed by a reflection in the line . Which of the following functions represents this reflection?

• A
• B
• C
• D
• E

Q14:

Three points , , and with coordinates (1, 3), (1, 2), and (4, 1), respectively, are reflected in the -axis to the points , , and .

Determine the coordinates of , , and .

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Is the measure of angle less than, greater than, or equal to the measure of angle ?

• Agreater than
• Bless than
• Cequal to

Q15:

What are the coordinates of the reflection of point across the -axis?

• A
• B
• C
• D

Q16:

Two points and have coordinates (2, 4) and (4, 4) respectively. is reflected in the -axis to .

Determine the coordinates of and .

• A,
• B,
• C,
• D,
• E,

Is the length of greater than, less than, or equal to the length of ?

• Aless than
• Bgreater than
• Cequal to

Q17:

What are the coordinates of the reflection of point across both axes?

• A
• B
• C
• D

Q18:

What are the coordinates of the reflection of point across the -axis?

• A
• B
• C
• D

Q19:

Determine the image points of the rectangle after a reflection in the -axis. • A, , ,
• B, , ,
• C, , ,
• D, , ,
• E, , ,

Q20:

The points , , , and are vertices of a quadrilateral. Determine the coordinates of point after a reflection in the -axis.

• A
• B
• C
• D
• E

Q21:

If is reflected in the -axis, will its image be a point, a line segment, or a line? • Aa point
• Ba line segment
• Ca line

Q22:

List the images of the points , , , and , after reflection in the -axis.

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

Q23:

What is the image of point under point reflection in the origin?

• A
• B
• C
• D

Q24:

Reflect triangle in the -axis, and state the coordinates of the image. • A
• B
• C
• D
• E

Q25:

Reflect the given triangle in the -axis. Which of the following sets of coordinates will be the vertices of the image? • A, and
• B, and
• C, and
• D, and
• E, and