To determine whether the shapes in each pair are translations of each other, we need to understand what a translation is. A
translation is a type of geometric transformation where every point of a shape is moved the same distance in the same direction. This means:
1. The shape does not change its size or orientation.
2. The shape does not rotate or flip.
3. The shape simply shifts to a new position.
Let's analyze each pair of shapes step by step:
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Pair (a):
- The two parallelograms are identical in size and orientation.
- They are simply shifted horizontally and vertically.
- There is no rotation or flipping.
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Conclusion: This is a translation.
Answer for (a): Circle "translation."
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Pair (b):
- The two rectangles are identical in size and orientation.
- They are simply shifted horizontally and vertically.
- There is no rotation or flipping.
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Conclusion: This is a translation.
Answer for (b): Circle "translation."
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Pair (c):
- The two trapezoids are identical in size and orientation.
- They are simply shifted horizontally and vertically.
- There is no rotation or flipping.
-
Conclusion: This is a translation.
Answer for (c): Circle "translation."
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Pair (d):
- The two shapes are different: one is a square, and the other is a diamond (rhombus).
- Even though they might look similar, they are not the same shape.
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Conclusion: This is not a translation.
Answer for (d): Circle "not a translation."
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Pair (e):
- The two shapes are identical in size and orientation.
- However, they are rotated relative to each other.
- Translation does not involve rotation.
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Conclusion: This is not a translation.
Answer for (e): Circle "not a translation."
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Pair (f):
- The two triangles are identical in size and orientation.
- They are simply shifted horizontally and vertically.
- There is no rotation or flipping.
-
Conclusion: This is a translation.
Answer for (f): Circle "translation."
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Final Answers:
- (a): Circle "translation."
- (b): Circle "translation."
- (c): Circle "translation."
- (d): Circle "not a translation."
- (e): Circle "not a translation."
- (f): Circle "translation."
Boxed Final Answer:
\[
\boxed{\text{a: translation, b: translation, c: translation, d: not a translation, e: not a translation, f: translation}}
\]
Parent Tip: Review the logic above to help your child master the concept of translation of shapes worksheet.
