Transformations: Stretch and Shrink

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

Grade 6 Math GeometryTransformationsVertical and Horizontal Stretch and Shrink

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Includes

2 Short AnswerMultiple ChoiceTrue / FalseFill in the Blanks

Standards

CCSS.MATH.CONTENT.8.G.A.1CCSS.MATH.CONTENT.8.G.A.2

Topics

mathgeometrytransformationsstretchshrinkgrade-6

7 sections · Free to use · Printable

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Transformations: Stretch and Shrink

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Read each question carefully and follow the instructions to perform the transformations.

1. Plot the rectangle with vertices A(1,1), B(4,1), C(4,3), D(1,3) on the coordinate plane. Then, apply a vertical stretch by a factor of 2 to the rectangle. List the new coordinates of the vertices.

A' B' C' D'

2. Plot the triangle with vertices E(2,5), F(6,5), G(4,1) on the coordinate plane. Then, apply a horizontal shrink by a factor of 1/2 to the triangle. List the new coordinates of the vertices.

E' F' G'

3. If a square with vertices (0,0), (2,0), (2,2), (0,2) undergoes a vertical stretch by a factor of 3, what are the new coordinates of the vertex (0,2)?

(0,6)

(0,2)

(0,3)

(6,2)

4. A horizontal shrink by a factor of 1/3 means the x-coordinates of the figure are multiplied by 3.

True

False

5. When a figure undergoes a vertical stretch, the coordinates are multiplied by the stretch factor.

6. A horizontal stretch by a factor of 4 means the figure becomes times wider.