Success TutoringWorksheets

Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — 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 2 — Practice Set 4 — 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 (5, −9) and (2, −8).

Answer: (3.5, −8.5)

  1. x: (5 + 2) ÷ 2 = 3.5
  2. y: (−9 + (−8)) ÷ 2 = −8.5
2.Find the midpoint of the segment joining (4, −6) and (7, 7).

Answer: (5.5, 0.5)

  1. x: (4 + 7) ÷ 2 = 5.5
  2. y: (−6 + 7) ÷ 2 = 0.5
3.Find the midpoint of the segment joining (−4, 4) and (6, 2).

Answer: (1, 3)

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

Answer: (2.5, −2)

  1. x: (8 + (−3)) ÷ 2 = 2.5
  2. y: (−7 + 3) ÷ 2 = −2
5.Find the midpoint of the segment joining (4, 2) and (5, −2).

Answer: (4.5, 0)

  1. x: (4 + 5) ÷ 2 = 4.5
  2. y: (2 + (−2)) ÷ 2 = 0
6.In which quadrant is the point (1, 2)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: first

x is positive and y is positive, so the point is in the first quadrant.

7.Find the midpoint of the segment joining (−5, 8) and (9, −2).

Answer: (2, 3)

  1. x: (−5 + 9) ÷ 2 = 2
  2. y: (8 + (−2)) ÷ 2 = 3
8.In which quadrant is the point (−3, 3)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: second

x is negative and y is positive, so the point is in the second quadrant.

9.Find the midpoint of the segment joining (−8, 5) and (−9, 2).

Answer: (−8.5, 3.5)

  1. x: (−8 + (−9)) ÷ 2 = −8.5
  2. y: (5 + 2) ÷ 2 = 3.5
10.In which quadrant is the point (9, −2)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: fourth

x is positive and y is negative, so the point is in the fourth quadrant.

11.In which quadrant is the point (8, −3)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: fourth

x is positive and y is negative, so the point is in the fourth quadrant.

12.In which quadrant is the point (8, 2)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: first

x is positive and y is positive, so the point is in the first quadrant.

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: