Vertical and Horizontal Stretch and Shrink
Explore vertical and horizontal transformations of geometric figures on a coordinate plane.
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Standards
Topics
Vertical and Horizontal Stretch and Shrink
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Read each question carefully and follow the instructions to complete the transformations.
1. Which transformation changes the size of a figure but not its shape?
Translation
Rotation
Dilation
Reflection
2. A horizontal stretch by a factor of 2 means that the x-coordinates are multiplied by:
2
1/2
-2
2x
3. A vertical stretch makes a figure appear , while a vertical shrink makes it appear .
4. When you apply a horizontal shrink, the x-coordinates are multiplied by a factor between and .
5. Consider a rectangle with vertices at (1,1), (3,1), (3,2), and (1,2). Draw the original rectangle and then draw the rectangle after a vertical stretch by a factor of 3. Label both figures.
6. Consider a triangle with vertices at (2,2), (6,2), and (4,5). Draw the original triangle and then draw the triangle after a horizontal shrink by a factor of 1/2. Label both figures.
7. A vertical stretch only affects the y-coordinates of a figure.
True
False
8. A horizontal shrink makes a figure wider.
True
False
9. A square has vertices at (0,0), (2,0), (2,2), and (0,2). If it undergoes a vertical shrink by a factor of 1/2 and a horizontal stretch by a factor of 3, what are the new coordinates of its vertices?
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