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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a.
- The first shape is a parallelogram.
- The second shape is also a parallelogram and appears to be shifted horizontally and vertically but retains the same size and orientation.
- Since the shape has not changed in size, orientation, or been rotated, it is a translation.
Answer: translation
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b.
- The first shape is a rectangle.
- The second shape is also a rectangle but is oriented differently (rotated).
- Since the orientation of the rectangle has changed, this is
not a translation.
Answer: not a translation
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c.
- The first shape is a trapezoid.
- The second shape is also a trapezoid and appears to be shifted horizontally and vertically but retains the same size and orientation.
- Since the shape has not changed in size, orientation, or been rotated, it is a translation.
Answer: translation
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d.
- The first shape is a square.
- The second shape is a diamond (rhombus) that appears to be rotated.
- Since the orientation of the square has changed, this is
not a translation.
Answer: not a translation
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e.
- The first shape is a cross-like figure.
- The second shape is also a cross-like figure but appears to be rotated.
- Since the orientation of the shape has changed, this is
not a translation.
Answer: not a translation
---
f.
- The first shape is a right triangle.
- The second shape is also a right triangle and appears to be shifted horizontally and vertically but retains the same size and orientation.
- Since the shape has not changed in size, orientation, or been rotated, it is a translation.
Answer: translation
---
Final Answers:
-
a: translation
-
b: not a translation
-
c: translation
-
d: not a translation
-
e: not a translation
-
f: translation
Boxed Answer:
\[
\boxed{\text{a: translation, b: not a translation, c: translation, d: not a translation, e: not a translation, f: translation}}
\]
Parent Tip: Review the logic above to help your child master the concept of translations worksheet answer key.
