Students identify whether shapes have been rotated, translated, or flipped in this geometry exercise.
Math worksheet showing geometric transformations like rotation, translation, and flip.
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Show Answer Key & Explanations
Step-by-step solution for: Transformation Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Transformation Worksheets
It looks like you've uploaded a worksheet titled "We Are Mr. Incredible! (Game 2)", which is a geometry activity designed to help students understand how shapes can be transformed or changed. The goal of the worksheet appears to be identifying whether two given shapes are congruent (same size and shape) or not congruent (different in size or shape).
Let’s break down the task and solve it step by step.
---
At the top, it says:
> "Shapes can be changed in many ways:
> → Rotation
> → Reflection
> → Translation
> → Size"
This means:
- Congruent shapes have the same size and shape, even if they are rotated, reflected, or translated.
- If one shape is resized (scaled up or down), then it is not congruent to the original.
So we need to compare each pair of shapes and determine if they are congruent or not congruent.
---
#### 1. Blue Parallelogram vs. Purple Parallelogram
- Both are parallelograms.
- They look like they have the same angles and side lengths.
- One may be rotated or flipped.
- No change in size — same dimensions.
✔ Congruent
> ✔ Answer: Yes (they are congruent)
---
#### 2. Orange Triangle vs. Yellow Triangle
- Both are triangles.
- But the orange triangle is larger than the yellow one.
- The yellow triangle is smaller — this indicates a change in size.
✘ Not congruent
> ✘ Answer: No (not congruent)
---
#### 3. Green Rectangle vs. Pink Rectangle
- Both are rectangles.
- But their dimensions differ: the green one is wider and shorter; the pink one is taller and narrower.
- So, different proportions → not same shape.
✘ Not congruent
> ✘ Answer: No (not congruent)
---
#### 4. Light Green Square vs. Blue Square
- Both appear to be squares.
- Same number of sides, right angles.
- But the blue square is smaller.
- Different sizes → not congruent.
✘ Not congruent
> ✘ Answer: No (not congruent)
---
#### 5. Purple Oval vs. Red Oval
- Both are ovals (ellipses).
- But the purple one is wider and shorter, while the red one is taller and narrower.
- Shape differs due to proportions.
✘ Not congruent
> ✘ Answer: No (not congruent)
---
#### 6. Green Pentagon vs. Yellow Pentagon
- Both are pentagons (5 sides).
- They appear to have the same shape and size.
- One might be rotated.
- No indication of resizing.
✔ Congruent
> ✔ Answer: Yes (they are congruent)
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| Pair | Congruent? |
|------|------------|
| 1 | Yes |
| 2 | No |
| 3 | No |
| 4 | No |
| 5 | No |
| 6 | Yes |
---
- Congruent shapes must have exactly the same size and shape, regardless of rotation, reflection, or translation.
- If a shape is scaled (made larger or smaller), it is not congruent.
- In this worksheet, only pairs 1 and 6 are congruent because they match in both size and shape.
- All others differ in size or proportion.
---
This activity helps students understand that congruence depends on size and shape, not just appearance. It also reinforces geometric transformations.
Let me know if you'd like a printable version or a visual explanation!
Let’s break down the task and solve it step by step.
---
🔍 Understanding the Instructions
At the top, it says:
> "Shapes can be changed in many ways:
> → Rotation
> → Reflection
> → Translation
> → Size"
This means:
- Congruent shapes have the same size and shape, even if they are rotated, reflected, or translated.
- If one shape is resized (scaled up or down), then it is not congruent to the original.
So we need to compare each pair of shapes and determine if they are congruent or not congruent.
---
🧩 Let's Go Through Each Pair
#### 1. Blue Parallelogram vs. Purple Parallelogram
- Both are parallelograms.
- They look like they have the same angles and side lengths.
- One may be rotated or flipped.
- No change in size — same dimensions.
✔ Congruent
> ✔ Answer: Yes (they are congruent)
---
#### 2. Orange Triangle vs. Yellow Triangle
- Both are triangles.
- But the orange triangle is larger than the yellow one.
- The yellow triangle is smaller — this indicates a change in size.
✘ Not congruent
> ✘ Answer: No (not congruent)
---
#### 3. Green Rectangle vs. Pink Rectangle
- Both are rectangles.
- But their dimensions differ: the green one is wider and shorter; the pink one is taller and narrower.
- So, different proportions → not same shape.
✘ Not congruent
> ✘ Answer: No (not congruent)
---
#### 4. Light Green Square vs. Blue Square
- Both appear to be squares.
- Same number of sides, right angles.
- But the blue square is smaller.
- Different sizes → not congruent.
✘ Not congruent
> ✘ Answer: No (not congruent)
---
#### 5. Purple Oval vs. Red Oval
- Both are ovals (ellipses).
- But the purple one is wider and shorter, while the red one is taller and narrower.
- Shape differs due to proportions.
✘ Not congruent
> ✘ Answer: No (not congruent)
---
#### 6. Green Pentagon vs. Yellow Pentagon
- Both are pentagons (5 sides).
- They appear to have the same shape and size.
- One might be rotated.
- No indication of resizing.
✔ Congruent
> ✔ Answer: Yes (they are congruent)
---
✔ Final Answers:
| Pair | Congruent? |
|------|------------|
| 1 | Yes |
| 2 | No |
| 3 | No |
| 4 | No |
| 5 | No |
| 6 | Yes |
---
📝 Explanation Summary:
- Congruent shapes must have exactly the same size and shape, regardless of rotation, reflection, or translation.
- If a shape is scaled (made larger or smaller), it is not congruent.
- In this worksheet, only pairs 1 and 6 are congruent because they match in both size and shape.
- All others differ in size or proportion.
---
🎯 Teaching Tip:
This activity helps students understand that congruence depends on size and shape, not just appearance. It also reinforces geometric transformations.
Let me know if you'd like a printable version or a visual explanation!
Parent Tip: Review the logic above to help your child master the concept of transformation geometry worksheet pdf.