Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 geometry worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · GeometryYear 7 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 (4, 1) and (6, 6).
Answer: (5, 3.5)
- x: (4 + 6) ÷ 2 = 5
- y: (1 + 6) ÷ 2 = 3.5
2.In which quadrant is the point (−9, −5)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: third
x is negative and y is negative, so the point is in the third quadrant.
3.In which quadrant is the point (5, 4)?
- Afirst
- Bsecond
- Cthird
- 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 (−4, 1) and (3, 2).
Answer: (−0.5, 1.5)
- x: (−4 + 3) ÷ 2 = −0.5
- y: (1 + 2) ÷ 2 = 1.5
5.Find the midpoint of the segment joining (5, 2) and (−1, 8).
Answer: (2, 5)
- x: (5 + (−1)) ÷ 2 = 2
- y: (2 + 8) ÷ 2 = 5
6.In which quadrant is the point (9, 4)?
- Afirst
- Bsecond
- Cthird
- 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 (2, 4) and (−2, −3).
Answer: (0, 0.5)
- x: (2 + (−2)) ÷ 2 = 0
- y: (4 + (−3)) ÷ 2 = 0.5
8.Find the midpoint of the segment joining (8, −3) and (2, −3).
Answer: (5, −3)
- x: (8 + 2) ÷ 2 = 5
- y: (−3 + (−3)) ÷ 2 = −3
9.In which quadrant is the point (7, −8)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: fourth
x is positive and y is negative, so the point is in the fourth quadrant.
10.Find the midpoint of the segment joining (0, 6) and (3, 6).
Answer: (1.5, 6)
- x: (0 + 3) ÷ 2 = 1.5
- y: (6 + 6) ÷ 2 = 6
11.In which quadrant is the point (−6, 9)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: second
x is negative and y is positive, so the point is in the second quadrant.
12.Find the midpoint of the segment joining (−6, 5) and (−5, −4).
Answer: (−5.5, 0.5)
- x: (−6 + (−5)) ÷ 2 = −5.5
- y: (5 + (−4)) ÷ 2 = 0.5
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.