Lesson Worksheet: Reflections Mathematics • 8th Grade

In this worksheet, we will practice reflecting shapes in horizontal and vertical mirror lines on grids.

Q1:

Which of the following does not show a reflection?

  • A
  • B
  • C
  • D
  • E

Q2:

What is the image of △𝐹𝐷𝐿 under reflection in ⃖⃗𝐸𝐹?

  • A△𝐹𝐢𝐿
  • B△𝐺𝐷𝐿
  • C△𝐻𝐡𝐿
  • D△𝐸𝐴𝐿

Q3:

What is the image of 𝐴𝐢 under reflection in line ⃖⃗𝐴𝐸?

  • A𝐴𝐡
  • B𝐢𝐷
  • C𝐡𝐢

Q4:

In which line must 𝐢𝐴 be reflected to get 𝐡𝐴?

  • A⃖⃗𝐡𝐹
  • B⃖⃗𝐴𝐸
  • C⃖⃗𝐢𝐷

Q5:

In the figure shown, △𝐴𝐷𝐸 is the image of △𝐴𝐹𝐸 after reflection in which line?

  • A⃖⃗𝐡𝐹
  • B⃖⃗𝐴𝐸
  • C⃖⃗𝐢𝐷

Q6:

What are the images of points 𝐴 and 𝐢 after a reflection in 𝐿?

  • A𝐴 and 𝐡
  • B𝐷 and 𝐡
  • C𝐷 and 𝐢
  • D𝐴 and 𝐢

Q7:

What is the image of △𝐻𝐢𝐿 under reflection in ⃖⃗𝐺𝐻?

  • A△𝐻𝐡𝐿
  • B△𝐸𝐴𝐿
  • C△𝐹𝐢𝐿
  • D△𝐺𝐷𝐿

Q8:

What is the image of 𝑀𝐴 under reflection in line ⃖⃗𝐡𝐹?

  • A𝑀𝐢
  • B𝑀𝐡
  • C𝑀𝐴

Q9:

In which line must 𝐸𝐡 be reflected to get 𝐸𝐢?

  • A⃖⃗𝐡𝐹
  • B⃖⃗𝐴𝐸
  • C⃖⃗𝐢𝐷

Q10:

What are the images of points 𝐴 and 𝐢 after a reflection in 𝐿?

  • A𝐴 and 𝐡
  • B𝐡 and 𝐢
  • C𝐴 and 𝐢

Q11:

△𝐡𝐷𝐹 is the image of △𝐢𝐷𝐹 by reflection across .

  • A⃖⃗𝐹𝐡
  • B⃖⃗𝐹𝐢
  • C⃖⃗𝐹𝐷
  • D⃖⃗𝐹𝐡

Q12:

△𝐴𝐡𝐹 is the image of △𝐢𝐡𝐹 by reflection across .

  • A⃖⃗𝐴𝐡
  • B⃖⃗𝐹𝐷
  • C⃖⃗𝐹𝐸
  • D⃖⃗𝐹𝐡

Q13:

In the equilateral triangle shown, △𝐡𝐴𝑀 is reflected in ⃖⃗𝐡𝐹. What is its image?

  • A△𝐴𝐡𝑀
  • B△𝐢𝐴𝑀
  • C△𝐡𝐢𝑀

Q14:

△𝐡𝐸𝐹 is the image of △𝐡𝐷𝐹 by reflection across .

  • A⃖⃗𝐡𝐸
  • B⃖⃗𝐹𝐡
  • C⃖⃗𝐹𝐷
  • D⃖⃗𝐹𝐸

Q15:

James drew line 𝐿 on a grid and then constructed 𝐴𝐡 above it, as shown.

Now he will reflect 𝐴𝐡 across line 𝐿 to produce 𝐴′𝐡′. How long will 𝐴′𝐡′ be in squares?

Q16:

In which figure can the blue parallelogram be reflected across the dotted line onto the pink parallelogram?

  • A
  • B
  • C
  • D

Q17:

Natalie drew a square on a piece of graph paper. Now she will reflect the square across a line to produce its image. Will the square’s image also be a square?

  • AYes
  • BNo
  • COnly if the line of reflection is horizontal
  • DOnly if the line of reflection is vertical

Q18:

Below is an image of a trapezoid after it was reflected across the dotted line.

Which of these figures shows how the trapezoid appeared before the reflection?

  • A
  • B
  • C
  • D

Q19:

Elizabeth tried to reflect point 𝑃 across the dotted line in the figure below, but she made a mistake.

How can she fix her mistake?

  • ABy moving point 𝑃′ to the left 1 square
  • BBy moving point 𝑃′ down 1 square
  • CBy moving point 𝑃′ to the right 1 square
  • DBy moving point 𝑃′ up 1 square

Q20:

Anthony will reflect triangle 𝐴𝐡𝐢 in the figure below across a vertical line to produce triangle 𝐴′𝐡′𝐢′.

Which of these is a correct statement about two of the vertices of triangle 𝐴′𝐡′𝐢′?

  • AVertex 𝐢′ will be 4 squares to the left of vertex 𝐡′.
  • BVertex 𝐢′ will be 4 squares above vertex 𝐡′.
  • CVertex 𝐢′ will be 3 squares to the left of vertex 𝐡′.
  • DVertex 𝐢′ will be 3 squares above vertex 𝐡′.

Q21:

Pentagon 𝑃𝑄𝑅𝑆𝑇 and its image after a reflection across a line are shown.

In which of these figures is the dotted line the line of reflection?

  • A
  • B
  • C
  • D

Q22:

Liam reflected a vertical line segment across a horizontal line. Olivia reflected a horizontal line segment across a vertical line. Which of these is a true statement about the images of Liam’s and Olivia’s line segments?

  • AThe image of Liam’s is horizontal and the image of Olivia’s is vertical.
  • BThe images of both are vertical.
  • CThe image of Liam’s is vertical and the image of Olivia’s is horizontal.
  • DThe images of both are horizontal.

Q23:

Five points are plotted on the grid in the figure below.

When reflecting point 𝑃 across the dotted line, which of the four other points will it map onto?

  • APoint 𝑆
  • BPoint 𝑅
  • CPoint 𝑇
  • DPoint 𝑄

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