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Grade 8 Transformation Composition Worksheet

Explore transformation compositions, including reflections, rotations, and translations on the coordinate plane, with this Grade 8 math worksheet.

Grade 8 Math GeometryTransformationsTransformation Composition
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Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

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

Topics

mathgeometrytransformationscompositiongrade 8
7 sections · Free to use · Printable
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Transformation Composition

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Read each question carefully and follow the instructions. Show all your work when necessary.

1. Which of the following is NOT an isometry (a transformation that preserves size and shape)?

a

Translation

b

Rotation

c

Dilation

d

Reflection

2. A sequence of two or more transformations is called a  .

3. Reflecting a figure over the x-axis and then over the y-axis is equivalent to a rotation of   degrees about the origin.

4. Graph the triangle with vertices A(1,1), B(4,1), and C(2,3). Then, apply the following transformations in order: a) Reflect over the y-axis, b) Translate 2 units down.

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

Write the coordinates of the final image A''B''C'':

5. A rotation followed by a translation will always result in the same final image as a translation followed by a rotation.

T

True

F

False

6. Describe a sequence of two transformations that would map triangle DEF with vertices D(-3,1), E(-1,1), F(-2,4) onto triangle D''E''F'' with vertices D''(3,-1), E''(1,-1), F''(2,-4).