Let’s go step by step to figure out how each shape was transformed from position 1 to position 2.
We are looking for one of three transformations:
-
Translation → sliding the shape without turning or flipping it.
-
Reflection → flipping the shape over a line (like a mirror image).
-
Rotation → turning the shape around a point.
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Problem 1:
Shape 1 is a trapezoid leaning right. Shape 2 is the same trapezoid but now leaning left — like it’s been flipped horizontally.
→ That’s a
reflection.
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Problem 2:
Shape 1 is a triangle pointing down-left. Shape 2 is the same triangle, but now pointing up-right — it looks like it was turned around.
If you rotate it 180 degrees, it matches.
→ That’s a
rotation.
*(Note: Sometimes reflection can look similar, but here the orientation changed in a way that suggests rotation — especially since no flip axis is obvious and the sides match after turning.)*
Wait — let’s double-check. In Problem 2, if we reflect the triangle over a vertical line, would it match? No — because the base would still be on the bottom. But in shape 2, the “point” is now at the top. So yes — it must have been rotated.
Actually, let’s think again: The triangle in #2 has its longest side on the bottom in shape 1, and on the top in shape 2 — and it’s upside-down. That’s a 180° rotation.
✔ Confirmed:
Rotation
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Problem 3:
Shape 1 is a parallelogram slanting right. Shape 2 is the same parallelogram, just moved to the right — same orientation.
→ That’s a
translation.
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Problem 4:
Shape 1 is a rectangle standing tall. Shape 2 is the same rectangle, but now lying flat — wider than tall.
That means it was turned 90 degrees.
→ That’s a
rotation.
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Problem 5:
Shape 1 is an arrowhead pointing right. Shape 2 is the same arrowhead, but now pointing left — mirrored.
→ That’s a
reflection.
---
Problem 6:
Shape 1 is a pentagon with a flat top. Shape 2 is the same pentagon, but now it’s tilted — one corner is pointing up instead of the flat top.
It looks like it was turned slightly clockwise.
→ That’s a
rotation.
Wait — let’s check carefully. Is it possible it’s a reflection? If we flip it over a diagonal, maybe? But the vertices don’t match that way. Actually, comparing the positions of the corners — yes, it’s been rotated about 72 degrees (since pentagons have rotational symmetry every 72°), but even if not exact, the key is: it’s turned, not flipped or slid.
So
✔ Rotation
But wait — let me recheck all to be sure.
Actually, let’s list them clearly:
1. Trapezoid flipped left-right → Reflection
2. Triangle upside-down → Rotation (180°)
3. Parallelogram slid right → Translation
4. Rectangle turned sideways → Rotation (90°)
5. Arrow flipped direction → Reflection
6. Pentagon tilted → Rotation
Yes, that seems consistent.
Now, let’s write the answers in order:
Final Answer:
1. reflected
2. rotated
3. translated
4. rotated
5. reflected
6. rotated
Parent Tip: Review the logic above to help your child master the concept of math transformations worksheet.
