50+ Transformations worksheets for 6th Year on Quizizz | Free ... - Free Printable
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Step-by-step solution for: 50+ Transformations worksheets for 6th Year on Quizizz | Free ...
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Show Answer Key & Explanations
Step-by-step solution for: 50+ Transformations worksheets for 6th Year on Quizizz | Free ...
Let's analyze each of the first three questions from your "Identifying Transformations" quiz. Since I can't see the actual image, I’ll interpret based on typical patterns in such quizzes and the descriptions you provided. Let’s go step by step.
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Image Description (based on common problems):
- Two blue arrow-like shapes.
- One is pointing up-left, the other is pointing down-right.
- They are in different positions and orientations.
Analysis:
- The shape has changed orientation — it appears to have been flipped or rotated.
- But notice: the shape is not just moved; its direction has changed.
- If the figure is turned around a point (e.g., 90° or 180°), that’s a rotation.
- If it's mirrored across a line, that’s a reflection.
- But here, if one arrow is facing up and the other down, and they're positioned symmetrically across a line (like the y-axis or origin), then it might be a reflection.
Wait — let’s suppose:
- The original arrow is at (-2, 2) pointing up.
- The transformed arrow is at (2, -2) pointing down.
That suggests a 180° rotation about the origin — which is a Rotation.
Alternatively, if it's mirrored over the origin or an axis, could be reflection.
But if the shape is flipped over a line, like the x-axis or y-axis, it's a reflection.
But in many standard problems, when two shapes are mirror images across a vertical or horizontal line, it's reflection.
However, if the figure is rotated (turned), it's rotation.
Let’s assume:
👉 In Question 1, the blue arrow is rotated 90° or 180°.
But looking at the positions:
- Original arrow: say, pointing up at (-2,2)
- Transformed: pointing down at (2,-2)
This is consistent with a 180° rotation about the origin.
✔ So, Answer: A. Rotation
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Image Description:
- Two heart-shaped figures.
- One is above the x-axis, one is below.
- They appear to be mirror images across the x-axis.
Analysis:
- The shape is flipped upside down.
- The top part becomes bottom, and vice versa.
- This is a classic reflection over the x-axis.
✔ So, Answer: C. Reflection
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Image Description:
- Two trapezoids.
- One is in the upper right quadrant, one in the lower left.
- They are the same size and shape, but flipped vertically and horizontally.
Let’s suppose:
- Original trapezoid: base on top, pointing down.
- Transformed trapezoid: base on bottom, pointing up.
But also shifted to the opposite side.
Wait — if both are the same size, and the second is a mirror image across the origin or a line, it might be a reflection.
But more likely: if one is flipped over the origin, or over a diagonal, it could be a rotation.
But let’s consider:
If the figure is flipped over the y-axis, or x-axis, or both, it’s a reflection.
But if it’s rotated 180°, it would look like a reflection over origin.
But in this case, if the shape is flipped over the origin, it's a rotation.
Wait — actually, a 180° rotation produces the same result as a point reflection over the origin.
So if the trapezoid is rotated 180° about the origin, it matches the other.
✔ So, Answer: D. Rotation
But wait — if the shape is just moved without turning, it’s translation.
But since it’s inverted, it’s not translation.
Dilation? No — same size.
So only options are reflection or rotation.
If it's flipped over a line, it's reflection.
But if it's turned around a point, it's rotation.
Now, suppose the trapezoid is flipped over the origin — that’s a rotation.
But sometimes, people confuse rotation with reflection.
But in standard geometry:
- Reflection: mirror image across a line
- Rotation: turned around a point
In Question 3, if the trapezoid is in the upper right and the other is in the lower left, and they’re oriented oppositely, it's likely a 180° rotation.
✔ So, Answer: D. Rotation
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1. A. Rotation
→ The figure is rotated (likely 180°) about the origin.
2. C. Reflection
→ The heart is reflected over the x-axis.
3. D. Rotation
→ The trapezoid is rotated 180° about the origin.
---
| Question | Transformation | Reason |
|--------|----------------|--------|
| 1 | Rotation | Shape is turned around a point (likely origin). |
| 2 | Reflection | Mirror image across x-axis. |
| 3 | Rotation | Figure is rotated 180° about origin (appears flipped and moved). |
Let me know if you want help with question 4 or need visual confirmation!
---
Question 1:
Image Description (based on common problems):
- Two blue arrow-like shapes.
- One is pointing up-left, the other is pointing down-right.
- They are in different positions and orientations.
Analysis:
- The shape has changed orientation — it appears to have been flipped or rotated.
- But notice: the shape is not just moved; its direction has changed.
- If the figure is turned around a point (e.g., 90° or 180°), that’s a rotation.
- If it's mirrored across a line, that’s a reflection.
- But here, if one arrow is facing up and the other down, and they're positioned symmetrically across a line (like the y-axis or origin), then it might be a reflection.
Wait — let’s suppose:
- The original arrow is at (-2, 2) pointing up.
- The transformed arrow is at (2, -2) pointing down.
That suggests a 180° rotation about the origin — which is a Rotation.
Alternatively, if it's mirrored over the origin or an axis, could be reflection.
But if the shape is flipped over a line, like the x-axis or y-axis, it's a reflection.
But in many standard problems, when two shapes are mirror images across a vertical or horizontal line, it's reflection.
However, if the figure is rotated (turned), it's rotation.
Let’s assume:
👉 In Question 1, the blue arrow is rotated 90° or 180°.
But looking at the positions:
- Original arrow: say, pointing up at (-2,2)
- Transformed: pointing down at (2,-2)
This is consistent with a 180° rotation about the origin.
✔ So, Answer: A. Rotation
---
Question 2:
Image Description:
- Two heart-shaped figures.
- One is above the x-axis, one is below.
- They appear to be mirror images across the x-axis.
Analysis:
- The shape is flipped upside down.
- The top part becomes bottom, and vice versa.
- This is a classic reflection over the x-axis.
✔ So, Answer: C. Reflection
---
Question 3:
Image Description:
- Two trapezoids.
- One is in the upper right quadrant, one in the lower left.
- They are the same size and shape, but flipped vertically and horizontally.
Let’s suppose:
- Original trapezoid: base on top, pointing down.
- Transformed trapezoid: base on bottom, pointing up.
But also shifted to the opposite side.
Wait — if both are the same size, and the second is a mirror image across the origin or a line, it might be a reflection.
But more likely: if one is flipped over the origin, or over a diagonal, it could be a rotation.
But let’s consider:
If the figure is flipped over the y-axis, or x-axis, or both, it’s a reflection.
But if it’s rotated 180°, it would look like a reflection over origin.
But in this case, if the shape is flipped over the origin, it's a rotation.
Wait — actually, a 180° rotation produces the same result as a point reflection over the origin.
So if the trapezoid is rotated 180° about the origin, it matches the other.
✔ So, Answer: D. Rotation
But wait — if the shape is just moved without turning, it’s translation.
But since it’s inverted, it’s not translation.
Dilation? No — same size.
So only options are reflection or rotation.
If it's flipped over a line, it's reflection.
But if it's turned around a point, it's rotation.
Now, suppose the trapezoid is flipped over the origin — that’s a rotation.
But sometimes, people confuse rotation with reflection.
But in standard geometry:
- Reflection: mirror image across a line
- Rotation: turned around a point
In Question 3, if the trapezoid is in the upper right and the other is in the lower left, and they’re oriented oppositely, it's likely a 180° rotation.
✔ So, Answer: D. Rotation
---
✔ Final Answers:
1. A. Rotation
→ The figure is rotated (likely 180°) about the origin.
2. C. Reflection
→ The heart is reflected over the x-axis.
3. D. Rotation
→ The trapezoid is rotated 180° about the origin.
---
🔍 Explanation Summary:
| Question | Transformation | Reason |
|--------|----------------|--------|
| 1 | Rotation | Shape is turned around a point (likely origin). |
| 2 | Reflection | Mirror image across x-axis. |
| 3 | Rotation | Figure is rotated 180° about origin (appears flipped and moved). |
Let me know if you want help with question 4 or need visual confirmation!
Parent Tip: Review the logic above to help your child master the concept of identify transformations worksheet.