Year 9 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 geometry worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · GeometryYear 9 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 (9, −2) and (5, 1).
Answer: (7, −0.5)
- x: (9 + 5) ÷ 2 = 7
- y: (−2 + 1) ÷ 2 = −0.5
2.Find the midpoint of the segment joining (8, −6) and (−5, 3).
Answer: (1.5, −1.5)
- x: (8 + (−5)) ÷ 2 = 1.5
- y: (−6 + 3) ÷ 2 = −1.5
3.Find the midpoint of the segment joining (3, 6) and (0, −6).
Answer: (1.5, 0)
- x: (3 + 0) ÷ 2 = 1.5
- y: (6 + (−6)) ÷ 2 = 0
4.In which quadrant is the point (1, −7)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: fourth
x is positive and y is negative, so the point is in the fourth quadrant.
5.In which quadrant is the point (8, −7)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: fourth
x is positive and y is negative, so the point is in the fourth quadrant.
6.Find the midpoint of the segment joining (1, 6) and (−4, 3).
Answer: (−1.5, 4.5)
- x: (1 + (−4)) ÷ 2 = −1.5
- y: (6 + 3) ÷ 2 = 4.5
7.Find the midpoint of the segment joining (−3, 6) and (2, −6).
Answer: (−0.5, 0)
- x: (−3 + 2) ÷ 2 = −0.5
- y: (6 + (−6)) ÷ 2 = 0
8.In which quadrant is the point (−8, 9)?
- Afirst
- Bsecond
- Cthird
- 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 (4, −8) and (4, 9).
Answer: (4, 0.5)
- x: (4 + 4) ÷ 2 = 4
- y: (−8 + 9) ÷ 2 = 0.5
10.Find the midpoint of the segment joining (−2, 5) and (−4, 1).
Answer: (−3, 3)
- x: (−2 + (−4)) ÷ 2 = −3
- y: (5 + 1) ÷ 2 = 3
11.Find the midpoint of the segment joining (−2, −6) and (4, −9).
Answer: (1, −7.5)
- x: (−2 + 4) ÷ 2 = 1
- y: (−6 + (−9)) ÷ 2 = −7.5
12.In which quadrant is the point (−6, 2)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: second
x is negative and y is positive, so the point is in the second quadrant.
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.