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Game Studio: Level Balance Motion Audit worksheet preview

Worksheet

Game Studio: Level Balance Motion Audit

Use tracing, grid experiments, and measurement records to test how rigid motions affect straight lines and segment lengths in game levels.

Grade 8MathInteractive · Printable

Aligned to8.G.A.1.a

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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, Drawing

About this worksheet

What students practice

  • Students use tracing and straightedge experiments to check that rigid motions map lines to lines.
  • Students compare segment lengths before and after translations, reflections, and rotations.
  • Students use experimental evidence to evaluate motion records for game-level graphics.

How to use

Provide tracing paper, a ruler, and a pencil. Have students carry out the motion tests before answering, then discuss which observations support each conclusion.

Curriculum

Common Core standard covered

8.G.A.1.a

Check by experiment that rotations, reflections, and translations move lines to lines and segments to equal-length segments.

Preview

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Game Studio: Level Balance Motion Audit

Test whether moving level graphics preserves straight lines and segment lengths.

Translate the Level Guides

The studio moves level graphics without resizing them to keep challenges balanced. Use tracing paper and a straightedge. Grid intervals represent one level unit; do not treat printed centimeters as level units.

1.
A straight launch guide contains A, B, and C. Trace segment AC and mark B on it. Translate the tracing 1 unit right and 3 units up. Draw the complete image segment and label A′, B′, and C′.−6−5−4−3−2−11234560−6−5−4−3−2−1123456ABC
−6−5−4−3−2−11234560−6−5−4−3−2−1123456
2.
Extend the image segment from Question 1 in both directions with a straightedge. Select every point below that lies on this entire image line, including points beyond the segment's endpoints.

(−6, −2)(0, −2)(6, 6)(3, 0)(0, 2)

3.
A tester traces several points on a straight aiming line and translates the tracing. Which observation directly checks that the image points remain on one straight line?
  • A. The image points all have positive coordinates.
  • B. The image points lie inside the level window.
  • C. The first image point moved the stated distance.
  • D. One straightedge passes through all image points.
4.
A score-bonus bar is 8.4 level units long. The studio translates it into a horizontal slot that is 8 level units long, with the bar's left endpoint at the slot's left edge. No resizing is allowed.

By how much does the bar extend past the slot's right edge?   level unit

Reflect the Challenge Graphics

Use a fold or a flipped tracing to test reflections. Compare both the straightness of a line and the lengths of its segments.

5.
The points below lie on an aiming line that extends forever in both directions. Reflect the line across the y-axis using a flipped tracing. Which statement describes the entire image line?−6−5−4−3−2−11234560−6−5−4−3−2−1123456DEF
  • A. The image is the vertical line through x = −2.
  • B. The image occupies the same line, y = −2.
  • C. The image is the horizontal line through y = 2.
  • D. The image stops at the two reflected endpoints.
6.
Use segment DF in Question 5. Count its grid intervals, then compare its tracing with the reflected segment D′F′.

What is the length of D′F′?   level units

7.
A straight platform edge is 6 level units long. Four test builds record possible image endpoints after a reflection. Use only the equal-length check: which build can be rejected because its segment has the wrong length?
Recorded Image Endpoints
BuildFirst endpointSecond endpoint
Cobalt(−4, 1)(2, 1)
Copper(3, −5)(3, 1)
Indigo(−2, −3)(3, −3)
Silver(−1, 4)(5, 4)
  • A. The Indigo build fails the equal-length check.
  • B. The Cobalt build fails the equal-length check.
  • C. The Silver build fails the equal-length check.
  • D. The Copper build fails the equal-length check.
8.
A slanted landing rail measures 5.5 level units along its length. The studio reflects the rail to create a matching challenge. A tester uses a string to compare the original and reflected rails. The new design allows a rail length of at most 5 level units.

How much longer than the allowed length is the reflected rail?   level unit

Rotate and Audit

Rotate tracings about the stated center. Use the experimental evidence to check the studio's records.

9.
A straight aiming line passes through J, K, and L. Trace the points and turn the tracing 180° about the origin. Use a straightedge to test the recorded images. Which conclusion is supported?
Half-Turn Test
PointOriginal (x, y)Image (x, y)
J(−4, −1)(4, 1)
K(−1, 1)(1, −1)
L(2, 3)(−2, −3)
  • A. The image points form a bend at the middle point.
  • B. The entire image line becomes a circular arc.
  • C. The image points lie on one straight line.
  • D. The entire image line ends at the outer points.
10.
A vertical score marker has endpoints M(2, −5) and N(2, −1). Rotate a tracing 90° clockwise about the origin. Its image endpoints are M′(−5, −2) and N′(−1, −2). Count grid intervals along the original and image segments.

What is the image length minus the original length?   level units

11.
The studio traces a straight score guide on transparent paper and rotates the paper 90° about a marked center. Select every observation that checks a property required by this lesson.

A straightedge fits the rotated guide without gaps.The rotated guide has the same color as the original.A marked segment matches its image when compared with the same string.Every image point stays at its original coordinate.

12.
To keep two levels equally difficult, the studio copies a platform using a translation, a reflection, and then a rotation. The platform's original length is 7.5 level units. A player can cross a platform no longer than 8 level units. None of the moves resizes the platform.

How much shorter than the player's limit is the final platform?   level unit

13.
Ravi plans to rotate a platform 90° clockwise about the origin. Instead, his test build translates it 4 units right. He measures the original and image segments and finds equal lengths. He says, “The matching lengths prove that the build performed the requested rotation.” Explain why this evidence is not enough. Describe a tracing check that would detect the wrong move.

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