Success TutoringWorksheets

Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 7 geometry worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Geometry

Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 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 (−9, 6) and (4, 4).

Answer: (−2.5, 5)

  1. x: (−9 + 4) ÷ 2 = −2.5
  2. y: (6 + 4) ÷ 2 = 5
2.Find the midpoint of the segment joining (−3, 0) and (2, −9).

Answer: (−0.5, −4.5)

  1. x: (−3 + 2) ÷ 2 = −0.5
  2. y: (0 + (−9)) ÷ 2 = −4.5
3.Find the midpoint of the segment joining (7, 9) and (−8, 4).

Answer: (−0.5, 6.5)

  1. x: (7 + (−8)) ÷ 2 = −0.5
  2. y: (9 + 4) ÷ 2 = 6.5
4.Find the midpoint of the segment joining (−9, 1) and (−7, 7).

Answer: (−8, 4)

  1. x: (−9 + (−7)) ÷ 2 = −8
  2. y: (1 + 7) ÷ 2 = 4
5.Find the midpoint of the segment joining (7, 5) and (1, −7).

Answer: (4, −1)

  1. x: (7 + 1) ÷ 2 = 4
  2. y: (5 + (−7)) ÷ 2 = −1
6.Find the midpoint of the segment joining (−4, 2) and (1, 8).

Answer: (−1.5, 5)

  1. x: (−4 + 1) ÷ 2 = −1.5
  2. y: (2 + 8) ÷ 2 = 5
7.Find the midpoint of the segment joining (−6, −5) and (−3, 8).

Answer: (−4.5, 1.5)

  1. x: (−6 + (−3)) ÷ 2 = −4.5
  2. y: (−5 + 8) ÷ 2 = 1.5
8.Find the distance between (5, −3) and (7, −9), correct to 1 decimal place.

Answer: 6.3

  1. Horizontal change = 2, vertical change = 6
  2. d = √(22 + 62) = √40
  3. = 6.3
9.Find the distance between (6, 4) and (3, 8).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
10.Find the distance between (3, −6) and (−5, 9).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
11.Find the midpoint of the segment joining (7, −5) and (−3, 9).

Answer: (2, 2)

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

Answer: (3.5, 5.5)

  1. x: (−1 + 8) ÷ 2 = 3.5
  2. y: (5 + 6) ÷ 2 = 5.5
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: