Success TutoringWorksheets

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

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

1.In which quadrant is the point (−2, 6)?
  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.

2.In which quadrant is the point (−5, 8)?
  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.

3.In which quadrant is the point (3, 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.

4.Find the midpoint of the segment joining (−6, 3) and (−2, 1).

Answer: (−4, 2)

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

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

7.In which quadrant is the point (−2, 7)?
  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.

8.Find the midpoint of the segment joining (−9, 0) and (8, −8).

Answer: (−0.5, −4)

  1. x: (−9 + 8) ÷ 2 = −0.5
  2. y: (0 + (−8)) ÷ 2 = −4
9.Find the midpoint of the segment joining (6, −7) and (4, 4).

Answer: (5, −1.5)

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

Answer: (−1, −3)

  1. x: (−5 + 3) ÷ 2 = −1
  2. y: (−7 + 1) ÷ 2 = −3
11.In which quadrant is the point (1, −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.Find the midpoint of the segment joining (−4, 3) and (−9, 5).

Answer: (−6.5, 4)

  1. x: (−4 + (−9)) ÷ 2 = −6.5
  2. y: (3 + 5) ÷ 2 = 4
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: