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Linear Transformation Exploration

Explore the concepts of linear transformations including rotation, reflection, dilation, and translation with this Grade 10 math worksheet.

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Grade 10 Math AlgebraLinear Transformation
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustomMatching

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSG.CO.A.2

Topics

linear transformationgeometryalgebragrade 10math
8 sections · Free to use · Printable
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Linear Transformation Exploration

Name:

Date:

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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

1. Which of the following is NOT a linear transformation?

a

Rotation

b

Reflection

c

Dilation

d

Translation

2. A linear transformation maps lines to   and the origin to the  .

3. Describe the effect of a dilation with a scale factor of 2 centered at the origin on a square with vertices (0,0), (1,0), (1,1), and (0,1).

4. All transformations are linear transformations.

T

True

F

False

5. Plot the point A(2,3) on the graph. Then, apply the transformation T(x,y) = (-y, x) to point A to find A'. Plot A' on the same graph.

-5-4-3-2-112345-5-4-3-2-112345

Match each transformation with its general effect.

6. Rotation

 

a. Changes size

7. Dilation

 

b. Flips over a line

8. Reflection

 

c. Turns around a point

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