Reflection, Translation, and Rotation Worksheets - Free Printable
Educational worksheet: Reflection, Translation, and Rotation Worksheets. Download and print for classroom or home learning activities.
JPG
321×413
27.6 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1694471
⭐
Show Answer Key & Explanations
Step-by-step solution for: Reflection, Translation, and Rotation Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: Reflection, Translation, and Rotation Worksheets
Let’s go through each problem one by one. We’ll use the grid to help us draw the correct transformed shape for each instruction.
---
a. Draw the REFLECTION of the shape.
The original shape is a “<” pointing left, drawn with solid lines. The dashed line on the right is the mirror line (line of reflection).
→ To reflect it, imagine flipping the shape over that vertical dashed line.
→ Each point on the original shape should be the same distance from the mirror line but on the opposite side.
→ So the reflected shape will look like a “>” pointing right, matching the dashed outline already shown — you just need to trace or confirm it matches.
✔ Final drawing: A “>” shape mirrored across the vertical line.
---
b. Draw the ROTATION of the shape.
Original shape: trapezoid sitting flat on its base.
Rotation usually means turning around a point. Since no center is given, we assume rotation around the center of the shape or a corner — but in most school worksheets like this, if not specified, it’s often 90° clockwise or counterclockwise around a vertex or center.
Looking at common patterns: If we rotate the trapezoid 90° clockwise around its bottom-right corner, it would stand up vertically.
But let’s think simply: In many such problems, they expect a 90° turn so the shape stands upright.
Actually — looking again — since it’s symmetric top-to-bottom? No, it’s wider at the bottom. Rotating 180° would flip it upside down. But maybe they want 90°.
Wait — better approach: Let’s pick a point — say, the midpoint of the base — and rotate 90° clockwise.
But without instructions, perhaps the expected answer is to rotate it so the long base becomes vertical on the right.
Alternatively — maybe it’s rotated 180°? That would make it upside down.
Hmm — actually, in many standard worksheets, when they say “rotation” without specifying angle or center, and show a simple shape, they often mean 90° clockwise around the origin or a corner.
But here’s a safer bet: Look at the position. The trapezoid is horizontal. Rotate it 90° clockwise → now it’s vertical, with the longer base on the right.
So draw it standing up, leaning to the right.
✔ Final drawing: Trapezoid rotated 90° clockwise — now vertical, longer side on the right.
---
c. Draw the TRANSLATION of the shape.
Original: arrow pointing up.
Translation = slide without turning or flipping.
We need to move it somewhere else on the grid — but where? Usually, translation implies moving by a certain number of squares right/left/up/down.
Since no direction is given, we can choose any reasonable translation — but typically, you’d move it 3–5 spaces in some direction.
Common practice: Move it 4 spaces to the right and 2 up, for example.
But to keep it simple and clear: Let’s translate it 5 spaces to the right.
✔ Final drawing: Same upward arrow, shifted 5 units to the right.
---
d. Draw the REFLECTION of the shape.
Original: triangle pointing left (like a "<" made of straight lines).
Mirror line? Not drawn — so likely reflecting over a vertical line through its center, or maybe horizontal?
Wait — in part d, there’s no dashed line. Hmm.
Looking back at the worksheet layout — sometimes the mirror line is implied. For a left-pointing triangle, reflecting over a vertical line through its tip would make it point right.
Or maybe over a horizontal line? Then it would flip upside down.
But triangles are often reflected over vertical axes unless specified.
Assume vertical reflection: Flip left-right.
So if it points left, after reflection it points right.
✔ Final drawing: Triangle pointing right.
---
e. Draw the ROTATION of the shape.
Original: L-shaped figure, like a boot heel.
Again, no center or angle given. Common rotations: 90°, 180°, 270°.
Try rotating 90° clockwise around the inner corner.
Original: vertical stem on left, horizontal foot on bottom.
After 90° clockwise: stem goes to bottom, foot goes to right → looks like a backwards L lying on its side.
Alternatively, 180°: flips completely — stem on right, foot on top.
Which is more typical? Often 90°.
Let’s do 90° clockwise.
✔ Final drawing: Shape rotated 90° clockwise — now oriented differently.
---
f. Draw the TRANSLATION of the shape.
Original: staircase-like shape (3 steps down to the right).
Translate it — slide it somewhere.
Move it 4 spaces up and 3 spaces left, for example.
Keep orientation same.
✔ Final drawing: Same step shape, moved to new location.
---
g. Draw the ROTATION of the shape.
Original: U-shape open to the right.
Rotate 90° clockwise → now open downward.
Rotate 180° → open to the left.
Rotate 270° → open upward.
Most intuitive: 90° clockwise → opens down.
✔ Final drawing: U-shape rotated 90° clockwise — opening downward.
---
h. Draw the REFLECTION of the shape.
Original: zigzag or S-like shape, kind of like two connected rectangles offset.
Reflect over vertical line → flips left-right.
If it leans right, after reflection it leans left.
Imagine mirroring it — every part swaps sides.
✔ Final drawing: Mirror image — reversed horizontally.
---
Now, compiling all answers clearly:
Final Answer:
a. Draw a ">" shape mirrored across the vertical dashed line.
b. Draw the trapezoid rotated 90° clockwise (standing vertically, longer base on right).
c. Draw the upward arrow translated 5 spaces to the right.
d. Draw the left-pointing triangle reflected to point right.
e. Draw the L-shape rotated 90° clockwise (now lying on its side).
f. Draw the step shape translated 4 up and 3 left (or similar).
g. Draw the U-shape rotated 90° clockwise (opening downward).
h. Draw the zigzag shape reflected horizontally (mirrored left-right).
---
a. Draw the REFLECTION of the shape.
The original shape is a “<” pointing left, drawn with solid lines. The dashed line on the right is the mirror line (line of reflection).
→ To reflect it, imagine flipping the shape over that vertical dashed line.
→ Each point on the original shape should be the same distance from the mirror line but on the opposite side.
→ So the reflected shape will look like a “>” pointing right, matching the dashed outline already shown — you just need to trace or confirm it matches.
✔ Final drawing: A “>” shape mirrored across the vertical line.
---
b. Draw the ROTATION of the shape.
Original shape: trapezoid sitting flat on its base.
Rotation usually means turning around a point. Since no center is given, we assume rotation around the center of the shape or a corner — but in most school worksheets like this, if not specified, it’s often 90° clockwise or counterclockwise around a vertex or center.
Looking at common patterns: If we rotate the trapezoid 90° clockwise around its bottom-right corner, it would stand up vertically.
But let’s think simply: In many such problems, they expect a 90° turn so the shape stands upright.
Actually — looking again — since it’s symmetric top-to-bottom? No, it’s wider at the bottom. Rotating 180° would flip it upside down. But maybe they want 90°.
Wait — better approach: Let’s pick a point — say, the midpoint of the base — and rotate 90° clockwise.
But without instructions, perhaps the expected answer is to rotate it so the long base becomes vertical on the right.
Alternatively — maybe it’s rotated 180°? That would make it upside down.
Hmm — actually, in many standard worksheets, when they say “rotation” without specifying angle or center, and show a simple shape, they often mean 90° clockwise around the origin or a corner.
But here’s a safer bet: Look at the position. The trapezoid is horizontal. Rotate it 90° clockwise → now it’s vertical, with the longer base on the right.
So draw it standing up, leaning to the right.
✔ Final drawing: Trapezoid rotated 90° clockwise — now vertical, longer side on the right.
---
c. Draw the TRANSLATION of the shape.
Original: arrow pointing up.
Translation = slide without turning or flipping.
We need to move it somewhere else on the grid — but where? Usually, translation implies moving by a certain number of squares right/left/up/down.
Since no direction is given, we can choose any reasonable translation — but typically, you’d move it 3–5 spaces in some direction.
Common practice: Move it 4 spaces to the right and 2 up, for example.
But to keep it simple and clear: Let’s translate it 5 spaces to the right.
✔ Final drawing: Same upward arrow, shifted 5 units to the right.
---
d. Draw the REFLECTION of the shape.
Original: triangle pointing left (like a "<" made of straight lines).
Mirror line? Not drawn — so likely reflecting over a vertical line through its center, or maybe horizontal?
Wait — in part d, there’s no dashed line. Hmm.
Looking back at the worksheet layout — sometimes the mirror line is implied. For a left-pointing triangle, reflecting over a vertical line through its tip would make it point right.
Or maybe over a horizontal line? Then it would flip upside down.
But triangles are often reflected over vertical axes unless specified.
Assume vertical reflection: Flip left-right.
So if it points left, after reflection it points right.
✔ Final drawing: Triangle pointing right.
---
e. Draw the ROTATION of the shape.
Original: L-shaped figure, like a boot heel.
Again, no center or angle given. Common rotations: 90°, 180°, 270°.
Try rotating 90° clockwise around the inner corner.
Original: vertical stem on left, horizontal foot on bottom.
After 90° clockwise: stem goes to bottom, foot goes to right → looks like a backwards L lying on its side.
Alternatively, 180°: flips completely — stem on right, foot on top.
Which is more typical? Often 90°.
Let’s do 90° clockwise.
✔ Final drawing: Shape rotated 90° clockwise — now oriented differently.
---
f. Draw the TRANSLATION of the shape.
Original: staircase-like shape (3 steps down to the right).
Translate it — slide it somewhere.
Move it 4 spaces up and 3 spaces left, for example.
Keep orientation same.
✔ Final drawing: Same step shape, moved to new location.
---
g. Draw the ROTATION of the shape.
Original: U-shape open to the right.
Rotate 90° clockwise → now open downward.
Rotate 180° → open to the left.
Rotate 270° → open upward.
Most intuitive: 90° clockwise → opens down.
✔ Final drawing: U-shape rotated 90° clockwise — opening downward.
---
h. Draw the REFLECTION of the shape.
Original: zigzag or S-like shape, kind of like two connected rectangles offset.
Reflect over vertical line → flips left-right.
If it leans right, after reflection it leans left.
Imagine mirroring it — every part swaps sides.
✔ Final drawing: Mirror image — reversed horizontally.
---
Now, compiling all answers clearly:
Final Answer:
a. Draw a ">" shape mirrored across the vertical dashed line.
b. Draw the trapezoid rotated 90° clockwise (standing vertically, longer base on right).
c. Draw the upward arrow translated 5 spaces to the right.
d. Draw the left-pointing triangle reflected to point right.
e. Draw the L-shape rotated 90° clockwise (now lying on its side).
f. Draw the step shape translated 4 up and 3 left (or similar).
g. Draw the U-shape rotated 90° clockwise (opening downward).
h. Draw the zigzag shape reflected horizontally (mirrored left-right).
Parent Tip: Review the logic above to help your child master the concept of rotation math worksheet.
