Success TutoringWorksheets

Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 8 geometry worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Geometry

Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 3 — Answers

Midpoint = (average of the x-values, average of the y-values). Distance: use Pythagoras with the horizontal and vertical changes.

1.Find the midpoint of the segment joining (−7, −6) and (−2, −2).

Answer: (−4.5, −4)

  1. x: (−7 + (−2)) ÷ 2 = −4.5
  2. y: (−6 + (−2)) ÷ 2 = −4
2.Find the distance between (4, 2) and (12, −13).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
3.Find the midpoint of the segment joining (−4, 3) and (−2, 4).

Answer: (−3, 3.5)

  1. x: (−4 + (−2)) ÷ 2 = −3
  2. y: (3 + 4) ÷ 2 = 3.5
4.Find the midpoint of the segment joining (−9, 8) and (−7, −2).

Answer: (−8, 3)

  1. x: (−9 + (−7)) ÷ 2 = −8
  2. y: (8 + (−2)) ÷ 2 = 3
5.Find the midpoint of the segment joining (−2, 6) and (7, −7).

Answer: (2.5, −0.5)

  1. x: (−2 + 7) ÷ 2 = 2.5
  2. y: (6 + (−7)) ÷ 2 = −0.5
6.Find the distance between (6, −3) and (0, −11).

Answer: 10

  1. Horizontal change = 6, vertical change = 8
  2. d = √(62 + 82) = √100
  3. = 10
7.Find the distance between (1, 6) and (4, 2).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
8.Find the midpoint of the segment joining (−3, 0) and (−8, −1).

Answer: (−5.5, −0.5)

  1. x: (−3 + (−8)) ÷ 2 = −5.5
  2. y: (0 + (−1)) ÷ 2 = −0.5
9.Find the distance between (0, 1) and (−6, 9).

Answer: 10

  1. Horizontal change = 6, vertical change = 8
  2. d = √(62 + 82) = √100
  3. = 10
10.Find the distance between (2, 6) and (9, 11), correct to 1 decimal place.

Answer: 8.6

  1. Horizontal change = 7, vertical change = 5
  2. d = √(72 + 52) = √74
  3. = 8.6
11.Find the midpoint of the segment joining (−2, 5) and (−7, 5).

Answer: (−4.5, 5)

  1. x: (−2 + (−7)) ÷ 2 = −4.5
  2. y: (5 + 5) ÷ 2 = 5
12.Find the midpoint of the segment joining (−3, 6) and (4, 6).

Answer: (0.5, 6)

  1. x: (−3 + 4) ÷ 2 = 0.5
  2. y: (6 + 6) ÷ 2 = 6
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: