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Class Trip Budget: Graphic Proofs worksheet preview

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Class Trip Budget: Graphic Proofs

Analyze class trip budget graphics using similarity, coordinate diagrams, and sequences of translations, rotations, reflections, and dilations.

Grade 8MathInteractive · Printable

Aligned to8.G.A.4

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 13 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 identify sequences of rigid motions and dilations that map corresponding figures.
  • Students describe similarity transformations using specified centers, lines, and translation distances.
  • Students distinguish uniform resizing from changes that do not preserve similarity.

How to use

Use after introducing similarity transformations. Have students sketch intermediate images on separate paper, then discuss the final explanation.

Curriculum

Common Core standard covered

8.G.A.4

Understand similar figures as ones linked by rotations, reflections, translations, and dilations, and describe such a sequence.

Preview

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Name Date

Class Trip Budget: Graphic Proofs

Use similarity transformations to check bus, meal, and museum-ticket graphics.

Build the Budget Layout

The class budget presentation includes bus, meal, and museum-ticket graphics. Transform the outlines, not the printed words or dollar amounts. All scale factors are positive.

1.
The triangle outlines a bus-cost label. First translate it 3 units right and 1 unit down. Then dilate by 2 centered at the translated image of A. Where does B finish?−5−4−3−2−1123450−5−4−3−2−112345ABC
  • A. (2, 0)
  • B. (4, 2)
  • C. (4, 0)
  • D. (1, 1)
2.
A meal-cost label has vertices D(−4, −2), E(0, −2), and F(−4, 4). Dilate by 1/2 centered at D, then translate 5 units right.

Write the final coordinates of F: ( ,  ).

3.
The museum-ticket graphic is a rectangle 8 units wide and 3 units tall. Its target outline is 6 units wide and 16 units tall. Which plan can map the original onto the target?
  • A. Dilate by 3/4, reflect across a horizontal line, then translate.
  • B. Dilate by 2, rotate 90°, then translate to the target.
  • C. Dilate by 2, reflect across a vertical line, then translate.
  • D. Dilate by 1/2, rotate 90°, then translate to the target.

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