Printable Reflections Worksheets

Printable Reflections Worksheets with Answers

Printable reflections worksheets with eight original tasks, worked teaching guidance, and a separate checked answer guide for home or class.

Category: Math
File Format: PDF
Versions: 1
Grade / Age: Grades 6-8

Price: FREE — instant download, no sign-up required

These printable reflections worksheets help learners reflect ordered pairs across coordinate axes, identify fixed points, and reason about repeated reflections. The free PDF contains two student pages and a separate answer guide, with 8 practice items in total.

Download the free printable worksheet PDF

Suggested grades: 6-8. Choose the activity by the learner’s current understanding; the grade range is a guide. Print pages 1-2 for practice and keep page 3 for checking.

First student page. The PDF includes both practice pages and the answer guide.

What the worksheet includes

Reflect ordered pairs across coordinate axes, identify fixed points, and reason about repeated reflections. Page 1 contains items 1-4; page 2 continues with items 5-8. The numbered answer guide follows the same order. Open responses include sample answers, and equivalent correct wording is welcome.

For pictured questions, refer to the labelled diagrams in the downloadable PDF. The first-page preview shows the beginning of the practice; the complete PDF contains all diagrams and the separate answer guide.

How to teach the skill

Reflection across the x-axis sends (x,y) to (x,-y); reflection across the y-axis sends (x,y) to (-x,y). A point and its mirror image are the same perpendicular distance from the mirror line.

Reflect ordered pairs across coordinate axes, identify fixed points, and reason about repeated reflections.

First locate the mirror line. Across the x-axis, the horizontal position stays the same while the vertical position changes sign. Across the y-axis, the vertical position stays the same while the horizontal position changes sign. Check equal distances on opposite sides rather than simply changing any negative sign.

A reflection preserves lengths and angle measures but reverses orientation. Reflecting twice in the same line restores the original position. These tasks move beyond reading positive coordinates: learners must apply a specified mirror rule and explain when a point remains fixed.

Model an example

Try: Reflect (2,3) across the x-axis.

Answer: (2,-3)

A common mistake to discuss

Change the coordinate perpendicular to the mirror line. Reflection across the x-axis changes y, not x. A point on the mirror line stays fixed.

Use the practice pages

  1. Read the teaching note together and model one item before independent work.
  2. Complete the first page, then discuss any repeated misunderstanding before starting the second.
  3. Check the responses against page 3. Ask the learner to explain one answer or correction in their own words.

Support and extension

Use the printed signed grids to locate the original and image. Extend by reflecting a triangle and comparing corresponding side lengths.

Questions and answer guide

The 8 items below match the downloadable packet. Expand this section when you are ready to check the work.

  1. Reflect (2,3) across the x-axis. Answer: (2,-3)
  2. Reflect (-3,1) across the y-axis. Answer: (3,1)
  3. Reflect (1,-2) across the x-axis. Answer: (1,2)
  4. Reflect (0,3) across the y-axis. Answer: (0,3); the point is on the mirror line.
  5. Reflect (-2,-4) across the y-axis. Answer: (2,-4)
  6. Reflect (3,0) across the x-axis. Answer: (3,0); the point is on the mirror line.
  7. Reflect (2,1) across the x-axis twice. Final coordinates? Answer: (2,1)
  8. Does reflection change a triangle's side lengths? Explain. Answer: No. Reflection preserves corresponding lengths.

Printing and checking

The PDF uses US Letter pages. Select “Fit” when printing on A4 and check the print preview. Black-and-white printing works well. Use pages 1-2 for the learner and keep the answer page separate. These written activities need a pencil; any counters or demonstrations suggested above are optional teaching supports.