Geometry worksheet for Level 4 students focusing on rotation transformations, featuring 12 exercises to practice rotating shapes around a point.
Educational worksheet: 50+ Rotations worksheets for 7th Grade on Quizizz | Free & Printable. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: 50+ Rotations worksheets for 7th Grade on Quizizz | Free & Printable
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Show Answer Key & Explanations
Step-by-step solution for: 50+ Rotations worksheets for 7th Grade on Quizizz | Free & Printable
Since the user has set all options (ExplainAnswer, TeachTopic, GeneratePractice) to false, I will not include those sections. I will proceed directly to providing the final answer based on the visual task of rotating the shapes.
The task is to rotate each numbered shape about the red star point by the specified angle and direction. Since I cannot draw on the image, I will describe the final position of each shape after rotation.
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Step-by-step reasoning for each rotation:
1. Shape 1 (blue triangle) – Rotate 90° clockwise about the star.
- The triangle is pointing left; after 90° clockwise, it will point up.
- The star is at the bottom-right corner of the triangle. After rotation, that corner stays fixed, and the rest of the triangle swings up.
2. Shape 2 (yellow triangle) – Rotate 90° clockwise.
- Triangle points down; after 90° clockwise, it points left.
- Star is at top-right vertex — stays fixed, triangle rotates around it.
3. Shape 3 (red triangle) – Rotate 90° clockwise.
- Triangle points right; after 90° clockwise, it points down.
- Star is at top vertex — remains fixed.
4. Shape 4 (red triangle) – Rotate 90° anti-clockwise.
- Triangle points right; after 90° anti-clockwise, it points up.
- Star is at left vertex — fixed point.
5. Shape 5 (blue triangle) – Rotate 90° anti-clockwise.
- Triangle points down; after 90° anti-clockwise, it points right.
- Star is at top-left vertex — fixed.
6. Shape 6 (green triangle) – Rotate 90° anti-clockwise.
- Triangle points up; after 90° anti-clockwise, it points left.
- Star is at bottom vertex — fixed.
7. Shape 7 (green V-shape) – Rotate 180° anti-clockwise (same as 180° clockwise).
- V opens upward; after 180°, it opens downward.
- Star is at the tip of the V — stays fixed.
8. Shape 8 (yellow quadrilateral) – Rotate 180° clockwise.
- Shape is irregular; rotating 180° flips it upside down and backwards.
- Star is at one vertex — stays fixed, entire shape rotates around it.
9. Shape 9 (red parallelogram) – Rotate 180° anti-clockwise.
- Parallelogram tilted right; after 180°, it tilts left.
- Star is at top vertex — fixed.
10. Shape 10 (blue pentagon-like shape) – Rotate 90° anti-clockwise.
- Shape is vertical on right side; after 90° anti-clockwise, it becomes horizontal on top.
- Star is at bottom vertex — fixed.
11. Shape 11 (red L-shape) – Rotate 90° clockwise.
- L opens to the right and down; after 90° clockwise, it opens down and left.
- Star is at inner corner — fixed.
12. Shape 12 (yellow U-shape) – Rotate 90° anti-clockwise.
- U opens upward; after 90° anti-clockwise, it opens to the left.
- Star is at top-left corner — fixed.
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Final Answer:
Each shape must be rotated about the red star point by the specified angle and direction. The star remains fixed, and every other point of the shape moves along a circular path around the star. For example:
- Shape 1 ends pointing up.
- Shape 2 ends pointing left.
- Shape 3 ends pointing down.
- Shape 4 ends pointing up.
- Shape 5 ends pointing right.
- Shape 6 ends pointing left.
- Shape 7 ends opening downward.
- Shape 8 is flipped 180°.
- Shape 9 is flipped 180°.
- Shape 10 lies horizontally on top.
- Shape 11 opens down and left.
- Shape 12 opens to the left.
(Note: Since this is a visual transformation task, the actual solution requires drawing the rotated shapes on the grid. The above describes the expected outcome for each.)
The task is to rotate each numbered shape about the red star point by the specified angle and direction. Since I cannot draw on the image, I will describe the final position of each shape after rotation.
---
Step-by-step reasoning for each rotation:
1. Shape 1 (blue triangle) – Rotate 90° clockwise about the star.
- The triangle is pointing left; after 90° clockwise, it will point up.
- The star is at the bottom-right corner of the triangle. After rotation, that corner stays fixed, and the rest of the triangle swings up.
2. Shape 2 (yellow triangle) – Rotate 90° clockwise.
- Triangle points down; after 90° clockwise, it points left.
- Star is at top-right vertex — stays fixed, triangle rotates around it.
3. Shape 3 (red triangle) – Rotate 90° clockwise.
- Triangle points right; after 90° clockwise, it points down.
- Star is at top vertex — remains fixed.
4. Shape 4 (red triangle) – Rotate 90° anti-clockwise.
- Triangle points right; after 90° anti-clockwise, it points up.
- Star is at left vertex — fixed point.
5. Shape 5 (blue triangle) – Rotate 90° anti-clockwise.
- Triangle points down; after 90° anti-clockwise, it points right.
- Star is at top-left vertex — fixed.
6. Shape 6 (green triangle) – Rotate 90° anti-clockwise.
- Triangle points up; after 90° anti-clockwise, it points left.
- Star is at bottom vertex — fixed.
7. Shape 7 (green V-shape) – Rotate 180° anti-clockwise (same as 180° clockwise).
- V opens upward; after 180°, it opens downward.
- Star is at the tip of the V — stays fixed.
8. Shape 8 (yellow quadrilateral) – Rotate 180° clockwise.
- Shape is irregular; rotating 180° flips it upside down and backwards.
- Star is at one vertex — stays fixed, entire shape rotates around it.
9. Shape 9 (red parallelogram) – Rotate 180° anti-clockwise.
- Parallelogram tilted right; after 180°, it tilts left.
- Star is at top vertex — fixed.
10. Shape 10 (blue pentagon-like shape) – Rotate 90° anti-clockwise.
- Shape is vertical on right side; after 90° anti-clockwise, it becomes horizontal on top.
- Star is at bottom vertex — fixed.
11. Shape 11 (red L-shape) – Rotate 90° clockwise.
- L opens to the right and down; after 90° clockwise, it opens down and left.
- Star is at inner corner — fixed.
12. Shape 12 (yellow U-shape) – Rotate 90° anti-clockwise.
- U opens upward; after 90° anti-clockwise, it opens to the left.
- Star is at top-left corner — fixed.
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Final Answer:
Each shape must be rotated about the red star point by the specified angle and direction. The star remains fixed, and every other point of the shape moves along a circular path around the star. For example:
- Shape 1 ends pointing up.
- Shape 2 ends pointing left.
- Shape 3 ends pointing down.
- Shape 4 ends pointing up.
- Shape 5 ends pointing right.
- Shape 6 ends pointing left.
- Shape 7 ends opening downward.
- Shape 8 is flipped 180°.
- Shape 9 is flipped 180°.
- Shape 10 lies horizontally on top.
- Shape 11 opens down and left.
- Shape 12 opens to the left.
(Note: Since this is a visual transformation task, the actual solution requires drawing the rotated shapes on the grid. The above describes the expected outcome for each.)
Parent Tip: Review the logic above to help your child master the concept of geometric rotations worksheets.