Success TutoringWorksheets

Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 10 geometry worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Geometry

Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — 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 (−9, 5) and (6, 1).

Answer: (−1.5, 3)

  1. x: (−9 + 6) ÷ 2 = −1.5
  2. y: (5 + 1) ÷ 2 = 3
2.Find the midpoint of the segment joining (1, −9) and (−6, −5).

Answer: (−2.5, −7)

  1. x: (1 + (−6)) ÷ 2 = −2.5
  2. y: (−9 + (−5)) ÷ 2 = −7
3.In which quadrant is the point (−9, −9)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: third

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

4.Find the midpoint of the segment joining (3, −3) and (−7, 7).

Answer: (−2, 2)

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

Answer: (5, 7.5)

  1. x: (3 + 7) ÷ 2 = 5
  2. y: (9 + 6) ÷ 2 = 7.5
6.In which quadrant is the point (−8, −4)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: third

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

7.In which quadrant is the point (9, 8)?
  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.

8.Find the midpoint of the segment joining (4, 0) and (7, 1).

Answer: (5.5, 0.5)

  1. x: (4 + 7) ÷ 2 = 5.5
  2. y: (0 + 1) ÷ 2 = 0.5
9.Find the midpoint of the segment joining (2, −9) and (6, −3).

Answer: (4, −6)

  1. x: (2 + 6) ÷ 2 = 4
  2. y: (−9 + (−3)) ÷ 2 = −6
10.Find the midpoint of the segment joining (−7, 0) and (8, 7).

Answer: (0.5, 3.5)

  1. x: (−7 + 8) ÷ 2 = 0.5
  2. y: (0 + 7) ÷ 2 = 3.5
11.Find the midpoint of the segment joining (8, −9) and (8, 9).

Answer: (8, 0)

  1. x: (8 + 8) ÷ 2 = 8
  2. y: (−9 + 9) ÷ 2 = 0
12.In which quadrant is the point (3, 6)?
  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: