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Vertical and Horizontal Stretch and Shrink

Explore vertical and horizontal transformations of geometric figures on a coordinate plane.

Grade 7 Math GeometryTransformationsVertical and Horizontal Stretch and Shrink
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.G.A.1CCSS.MATH.CONTENT.8.G.A.3

Topics

mathgeometrytransformationsstretchshrinkgrade 7
7 sections · Free to use · Printable
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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?

a

Translation

b

Rotation

c

Dilation

d

Reflection

2. A horizontal stretch by a factor of 2 means that the x-coordinates are multiplied by:

a

2

b

1/2

c

-2

d

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.

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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.

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7. A vertical stretch only affects the y-coordinates of a figure.

T

True

F

False

8. A horizontal shrink makes a figure wider.

T

True

F

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?