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Pairs with the Transformania game. The picture answer key prints on its own page after the worksheet.

Transformations of Figures

Grade 8 · CCSS 8.G.A.1, 8.G.A.2, 8.G.A.3
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Remember: the pre-image is the figure before; the image is the figure after. A translation slides, a rotation turns around a fixed point (each quarter-turn is 90°), and a reflection flips across a line so every square lands the same distance from the line, on the other side. On every problem, shade the image on the same grid.

Part A: Translations

1. Translate the figure 3 units right. Shade the image.
2. Translate the figure 2 units left. Shade the image.

Part B: Rotations around a point (tip: trace the figure, pin the red point, and turn the paper)

3. Rotate the figure 90° clockwise around the red point (1 turn).
4. Rotate the figure 180° counterclockwise around the red point (2 turns).
5. Rotate the figure 90° counterclockwise around the red point.
6. Rotate the figure 270° clockwise around the red point. How many turns is that?

Part C: Reflections

7. Reflect the figure across the pink vertical line.
8. Reflect the figure across the green horizontal line.

Part D: Sequences (do them in order)

9. Reflect across the vertical line, then translate 2 units left.
10. Rotate 90° clockwise around the red point, then reflect across the horizontal line.

Part E: Explain

11. Find the mistake. Sam was asked to rotate the blue figure 90° clockwise around the red point and drew the yellow image. What did Sam do wrong? Shade the correct image.
12. After any translation, rotation or reflection, is the image congruent to the pre-image? How do the squares on your grids show it?
Play the game: studentmathgames.com/transformania© 2026 Mr. H · Free for classroom use

Answer Key: Transformations of Figures

For the teacher

pre-image image

1. Every square moves 3 units right; the shape doesn’t turn.
2. Every square moves 2 units left.
3. One quarter-turn clockwise: the part that pointed up now points right.
4. 180° = two quarter-turns. Clockwise or counterclockwise lands in the same place, but the turn goes the other way.
5. One quarter-turn counterclockwise: the part that pointed up now points left.
6. 270° = 3 turns clockwise, which lands where 1 turn counterclockwise would.
7. Each square is the same distance from the line, on the other side.
8. Top and bottom swap; each square keeps its distance from the line.
9. First the reflection (each square the same distance from the line, on the other side), then slide that 2 units left.
10. First one quarter-turn clockwise, then the flip across the green line.
11. Sam turned counterclockwise. Clockwise goes the way a clock’s hands move: the part pointing up ends up pointing right.
  1. Yes. Each image has the same squares in the same arrangement, just moved, turned or flipped: lengths and angles stay the same, so the figures are congruent.

Quick read: a rotation landing in the mirror-image spot usually means the wrong direction; an image the wrong distance from the line usually means the student flipped the shape but didn’t keep each square’s distance from the line.