Free Robotics Grid Translation Practice Worksheet gives learners a diagram, one worked example and five questions. The student sheet leaves space to show work. A second printable page gives the steps for each answer.
Start with the model
Read each ordered pair as (x, y). A translation adds the same ordered pair to every point. A reflection changes one sign.
The grid has P = (-3, 2) and Q = (1, -2). Each grid interval is one unit.
Worked example
P has x = -3 and y = 2, so P is written (-3, 2). Start at the origin and move horizontally first.
Ask the learner to point to the information used in the example. When they move on to the exercises, have them record the quantity, unit or label that each step represents.
Practice questions
- Write the coordinates of Q and name its quadrant.
- Reflect P across the x-axis. Write the image coordinates.
- Reflect Q across the y-axis. Write the image coordinates.
- Translate both points by (2, 1). Write both new points.
- Reflect P across both axes. Compare this result with reversing both signs at once.
Separate answer key
- Q = (1, -2), in Quadrant IV.
- Keep x and reverse y: (-3, -2).
- Reverse x and keep y: (-1, -2).
- P′ = (-1, 3) and Q′ = (3, -1). Add 2 to each x and 1 to each y.
- Across x gives (-3, -2), then across y gives (3, -2). This matches reversing both signs.
Download the student sheet and key
Each page has its own Download image and Download PDF controls. Choose US Letter or A4 for the PDF. Match the paper size in the print dialog and check the page edges before printing. The original PNGs are 2550 × 3300 pixels at 300 dpi. The pages are free for personal and classroom use.