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Theater Club: Set and Seat Coordinates worksheet preview

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Theater Club: Set and Seat Coordinates

Students use coordinates to translate, reflect, rotate, and dilate theater set pieces and seating layouts.

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, Sorting, Short answer, Drawing

About this worksheet

What students practice

  • Students describe translations, reflections, rotations, and dilations using coordinates.
  • Students find original and image coordinates, including results of combined transformations.
  • Students use coordinate evidence to check transformation claims.

How to use

Use after introducing the four transformations. Have students mark intermediate coordinates for combined moves and check each vertex before choosing an answer.

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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Name Date

Theater Club: Set and Seat Coordinates

Plan set pieces and seating sections using coordinate transformations.

Position the Set Pieces

Each grid unit represents 1 foot on a planning diagram. Coordinates describe a top view, not height. Use the stated line or center for each transformation.

1.
The points are the vertices of a triangular set platform. To clear an aisle, the club translates it 4 units left and 2 units up. Which list gives the image vertices in corresponding order?−6−5−4−3−2−11234560−6−5−4−3−2−1123456ABC
  • A. A′(−3, −1), B′(1, −1), C′(−1, 2)
  • B. A′(−1, 1), B′(3, 1), C′(1, 4)
  • C. A′(−3, −5), B′(1, −5), C′(−1, −2)
  • D. A′(5, −1), B′(9, −1), C′(7, 2)
2.
A rectangular scenery panel is moved by one translation. Complete the coordinate rule using the corresponding vertices.
Scenery Panel Move
VertexOriginalImage
D(−5, −2)(−2, 3)
E(−2, −2)(1, 3)
F(−2, 0)(1, 5)
G(−5, 0)(−2, 5)

(x, y) → (x +  , y +  )

3.
The points are the vertices of a triangular doorway. The club reflects it across the vertical line x = 1. Where are its image vertices?−6−5−4−3−2−11234560−6−5−4−3−2−1123456HJK
  • A. H′(3, 1), J′(1, 1), K′(1, 4)
  • B. H′(5, 1), J′(3, 1), K′(3, 4)
  • C. H′(−3, 1), J′(−1, 1), K′(−1, −2)
  • D. H′(−1, 1), J′(1, 1), K′(1, 4)

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