OwlSheets
3D-Printing Club: Signs and Reflections worksheet preview

Worksheet

3D-Printing Club: Signs and Reflections

Identify quadrants and use sign changes to reflect points while checking 3D-printing club designs.

Grade 6MathInteractive · Printable

Aligned to6.NS.C.6.b

Play onlinePlay as a game
PrintLetter-size worksheetAnswer keyPrintable answers
Assign to classAssign to your classes, or get a join code

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 6
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Short answer

About this worksheet

What students practice

  • Students identify a point's quadrant from the signs of its coordinates.
  • Students identify which coordinate sign changes when a point is reflected across an axis.
  • Students use reflections to check coordinate layouts for printed parts.

How to use

Use after introducing the four quadrants. Students can trace reflections on the grids before completing the design checks independently.

Curriculum

Common Core standard covered

6.NS.C.6.b

Tell the quadrant of a point from the signs of its coordinates, and see that flipping a sign reflects the point across an axis.

Preview

OwlSheets.com

Name Date

3D-Printing Club: Signs and Reflections

Use coordinate signs to check part layouts on a print bed.

Read the Layout

The club uses a top view of the print bed. The origin is its center, and coordinates are in centimeters. Use Roman numerals I, II, III, and IV for quadrants.

−5−4−3−2−1123450−5−4−3−2−112345ABCDxy
1.
The labeled points mark the centers of four parts. Match each point to its quadrant.
  1. A
  2. B
  3. C
  4. D
  1. A. Quadrant III
  2. B. Quadrant I
  3. C. Quadrant IV
  4. D. Quadrant II
2.
A new part must have a negative x-coordinate and a positive y-coordinate. Where should its center be placed?
  • A. In Quadrant IV.
  • B. In Quadrant III.
  • C. In Quadrant II.
  • D. In Quadrant I.
3.
A support post has its center at (−3, 0). How should the club describe its location?
  • A. It lies on the x-axis, not in a quadrant.
  • B. It lies in Quadrant II, above the x-axis.
  • C. It lies on the y-axis, not in a quadrant.
  • D. It lies in Quadrant III, below the x-axis.
4.
The club reflects part B across the x-axis. Use the signs of the reflected point's coordinates to identify its quadrant.

The reflected point is in Quadrant  .

Check Mirrored Features

Use the grid to compare the four holes in a model's base plate.

−4−3−2−112340−4−3−2−11234PQRSxy
5.
Which reflection maps hole P onto hole Q?
  • A. Reflect across the x-axis only.
  • B. Reflect across both axes in sequence.
  • C. Reflect across neither axis.
  • D. Reflect across the y-axis only.
6.
Hole P is at (−3, 2). Reflect it across the x-axis. Write the reflected coordinates.

( ,  )

7.
Starting at Q, change the signs of both coordinates. Which hole is at the resulting point?
  • A. Hole P.
  • B. Hole R.
  • C. Hole S.
  • D. Hole Q.
8.
A hole was reflected across the y-axis, and its image is R at (−3, −2). What were the original hole's coordinates?

( ,  )

9.
A design tool reflects any point across the x-axis. Which rule correctly describes the coordinates of its image?
  • A. Keep x unchanged and replace y with its opposite.
  • B. Replace x with its opposite and keep y unchanged.
  • C. Replace both x and y with their opposites.
  • D. Exchange x and y without changing their signs.

Review New Designs

Apply the reflection rules to each new part. Sketch on scrap paper if needed.

10.
Mina places a fastening hole at (5, −4). A matching hole must be its reflection across the x-axis. Write the matching hole's coordinates.

( ,  )

11.
A model's left tab has its center in Quadrant II. Andre reflects that center across the y-axis to place a right tab. Which signs must the right tab's coordinates have?
  • A. Its x-coordinate is negative; its y-coordinate is negative.
  • B. Its x-coordinate is negative; its y-coordinate is positive.
  • C. Its x-coordinate is positive; its y-coordinate is positive.
  • D. Its x-coordinate is positive; its y-coordinate is negative.
12.
A corner of a phone stand's base is at (−4, −1). The club reflects it across the x-axis, then reflects the result across the y-axis. Write the final coordinates.

( ,  )

13.
A model's center notch is at (0, −5). The design tool reflects it across the y-axis. What happens to the notch's location?
  • A. It moves to (0, 5).
  • B. It stays at (0, −5).
  • C. It moves to (5, 0).
  • D. It moves to (−5, 0).
14.
Jalen reflects a detail at (−2, 5) across the y-axis and records (−2, −5). Explain his mistake. Give the correct coordinates and quadrant of the reflected detail.

Related worksheets