Reflection, Translation, and Rotation Worksheets - Free Printable

Let’s go through each problem one by one. I’ll explain what to do for reflection, rotation, and translation — then give you the final answer for each part.

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a. Draw the REFLECTION of the shape.

The original shape is a “<” pointing left. The dashed line is vertical (up-down), so we reflect over that line. That means flip it horizontally — like looking in a mirror placed on the dashed line.

→ So the reflected shape will be a “>” pointing right, same size, same distance from the line but on the other side.

✔ Final Answer for a: A “>” shape mirrored across the vertical dashed line.

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b. Draw the ROTATION of the shape.

The shape is a trapezoid (like a table top). Rotation usually means turning around a point — unless specified, assume 90° clockwise or counterclockwise? But since no direction is given, let’s assume standard classroom practice: rotate 90° clockwise around its center or a corner? Actually, looking at typical worksheets, they often mean rotate 90° clockwise around the origin or a fixed point — but here there’s no grid origin marked.

Wait — actually, in most elementary sheets like this, if not specified, “rotation” often means 90° clockwise around the bottom-left corner or center. But to keep it simple and match common answers:

Let’s assume rotate 90° clockwise around the center of the shape.

Original trapezoid has flat base at bottom. After 90° clockwise rotation, the flat base will be on the right side.

✔ Final Answer for b: Trapezoid rotated 90° clockwise — now standing on its right side.

*(Note: If your teacher expects a different rotation angle or center, adjust accordingly — but 90° clockwise is standard unless told otherwise.)*

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c. Draw the TRANSLATION of the shape.

Translation = slide without turning or flipping. The arrow points up — so move the whole arrow shape straight up by some squares. How many? Usually 2–4 squares. Since no number is given, pick a reasonable amount — say 3 squares up.

✔ Final Answer for c: Same arrow shape, moved 3 squares upward.

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d. Draw the REFLECTION of the shape.

Shape is a triangle pointing left. Dashed line is vertical → reflect over vertical line → flip left-right.

So triangle will now point right.

✔ Final Answer for d: Triangle flipped to point right, same size, symmetric across the dashed line.

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e. Draw the ROTATION of the shape.

Shape is an L-shaped figure (like a boot). Again, assume 90° clockwise rotation around its bottom-left corner (common default).

Original: long part going down, short part going right.

After 90° clockwise: long part goes right, short part goes down.

✔ Final Answer for e: L-shape rotated 90° clockwise — now looks like a backwards “L” lying on its side.

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f. Draw the TRANSLATION of the shape.

Shape is a staircase-like block. Translation = slide. No direction shown? Wait — in the image, sometimes arrows are implied. But here, since none are drawn, maybe translate 2 squares right and 1 up? Or just pick a clear direction.

Actually, looking again — in many such worksheets, if no arrow is given, they expect you to choose a direction — but better to follow pattern. Let’s assume translate 3 squares to the right.

✔ Final Answer for f: Same staircase shape, moved 3 squares to the right.

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g. Draw the ROTATION of the shape.

Shape is a U-shape open to the right. Rotate 90° clockwise around bottom-left corner.

Original: opening faces right.

After 90° clockwise: opening faces down.

✔ Final Answer for g: U-shape rotated so it opens downward.

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h. Draw the REFLECTION of the shape.

Shape is like a “C” facing right. Dashed line is vertical → reflect over vertical line → flip left-right.

So now it will face left.

✔ Final Answer for h: “C” shape flipped to face left, symmetric across the dashed line.

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Now, compiling all final answers clearly:

Final Answer:
a. Reflected shape is “>” (mirror image of “<” over vertical line)
b. Rotated trapezoid 90° clockwise — base now on right side
c. Translated arrow 3 squares up
d. Reflected triangle now points right
e. Rotated L-shape 90° clockwise — long arm horizontal right, short arm down
f. Translated staircase shape 3 squares right
g. Rotated U-shape 90° clockwise — now opens downward
h. Reflected “C” shape now faces left