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Launch Day: Fin Shapes and Similarity worksheet preview

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Launch Day: Fin Shapes and Similarity

Explore similarity through model rocket fin designs using coordinate graphs, transformation sequences, and scale factors.

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, Matching, Sorting, Short answer

About this worksheet

What students practice

  • Students describe sequences of rigid motions and dilations that map one figure onto another.
  • Students use corresponding coordinates and side lengths to evaluate similarity.
  • Students distinguish shape-preserving transformations from changes that distort a figure.

How to use

Use after students have practiced individual transformations. Have students sketch intermediate images on scrap paper and justify the final sequence.

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

Launch Day: Fin Shapes and Similarity

Use transformations to test and describe similar designs.

Transform the Designs

Each problem describes a separate launch-day design. Apply transformations in the order stated. All dilation scale factors are positive.

1.
A rocket fin template is triangle ABC. Reflect it across the y-axis, then dilate by a factor of 2 about the origin.−5−4−3−2−1123450−5−4−3−2−112345ABC

Write the final coordinates of vertex B: ( ,  ).

2.
A triangular launch-pad marker has vertices A(1, 1), B(3, 1), and C(1, 2). A designer performs one rigid motion, dilates by 2 about the origin, then translates 6 units left and 1 unit up. The final vertices are shown, with A → P, B → Q, and C → R. What was the first motion?−6−5−4−3−2−11234560−6−5−4−3−2−1123456PQR
  • A. Reflect across the y-axis.
  • B. Rotate 90° counterclockwise about the origin.
  • C. Rotate 90° clockwise about the origin.
  • D. Reflect across the x-axis.
3.
A fin outline has side lengths 6 cm, 9 cm, and 12 cm. To make a launch checklist diagram, Nia dilates the outline by 1/3, rotates it, and then dilates it by 2.

The combined scale factor from the original to the final diagram is  . The longest side of the final diagram is   cm.

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