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Library Makerspace: Lending Kit Layouts worksheet preview

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Library Makerspace: Lending Kit Layouts

Use coordinate graphs and tables to translate, reflect, rotate, and dilate outlines for library makerspace lending kits.

Grade 8MathInteractive · Printable

Aligned to8.G.A.3

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students describe translations, reflections, and rotations using coordinates and coordinate rules.
  • Students find image and original coordinates for dilations with specified centers and scale factors.
  • Students describe combined transformations and explain errors involving a dilation center.

How to use

Use after introducing all four coordinate transformations. Have students annotate the graphs and show calculations on separate paper, then discuss the final error analysis.

Curriculum

Common Core standard covered

8.G.A.3

Use coordinates to describe how dilations, translations, rotations, and reflections change 2-D figures.

Preview

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Library Makerspace: Lending Kit Layouts

Use coordinates to reposition and resize outlines for tool trays and kit labels.

Position and Mirror

The library makerspace uses coordinate drawings to plan its lending trays and labels. Treat each problem independently. A prime mark identifies an image point. On each graph, the labeled points are the vertices of the figure.

1.
A triangular divider must be moved to a new spot on the checkout tray. Vertex A must land at A′(1, −2), without turning or resizing the divider. Which rule moves the entire divider correctly?−6−5−4−3−2−11234560−5−4−3−2−112345ABCxy
  • A. (x, y) → (x + 1, y + 6)
  • B. (x, y) → (x + 4, y + 1)
  • C. (x, y) → (x + 6, y − 1)
  • D. (x, y) → (x + 6, y + 1)
2.
The corners of a rectangular tool-kit label all undergo the same translation. Use the complete rows to find the missing coordinates.
Tool-Kit Label Corners
CornerOriginalImage
D(−1, 2)(−4, 6)
E(3, 2)(0, 6)
F(3, −2)(?, 2)
G(−1, −2)(−4, ?)

The x-coordinate of F′ is  . The y-coordinate of G′ is  .

3.
A reversible kit tag uses a reflection of this triangular outline across the line y = x. Which list gives D′, E′, and F′ in that order?−5−4−3−2−1123450−5−4−3−2−112345DEFxy
  • A. (4, 1), (1, 1), (1, 3)
  • B. (−4, −1), (−1, −1), (−1, −3)
  • C. (1, −4), (1, −1), (3, −1)
  • D. (−1, 4), (−1, 1), (−3, 1)

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