Year 6 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 6 geometry worksheet.
Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · GeometryYear 6 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 (−6, 7) and (−2, 4).
Answer: (−4, 5.5)
- x: (−6 + (−2)) ÷ 2 = −4
- y: (7 + 4) ÷ 2 = 5.5
2.Find the midpoint of the segment joining (4, −5) and (−5, 6).
Answer: (−0.5, 0.5)
- x: (4 + (−5)) ÷ 2 = −0.5
- y: (−5 + 6) ÷ 2 = 0.5
3.Find the midpoint of the segment joining (2, −2) and (1, 1).
Answer: (1.5, −0.5)
- x: (2 + 1) ÷ 2 = 1.5
- y: (−2 + 1) ÷ 2 = −0.5
4.Find the midpoint of the segment joining (2, 1) and (−6, 9).
Answer: (−2, 5)
- x: (2 + (−6)) ÷ 2 = −2
- y: (1 + 9) ÷ 2 = 5
5.Find the midpoint of the segment joining (3, 1) and (−7, 1).
Answer: (−2, 1)
- x: (3 + (−7)) ÷ 2 = −2
- y: (1 + 1) ÷ 2 = 1
6.Find the midpoint of the segment joining (−2, −5) and (7, 9).
Answer: (2.5, 2)
- x: (−2 + 7) ÷ 2 = 2.5
- y: (−5 + 9) ÷ 2 = 2
7.In which quadrant is the point (5, 9)?
- Afirst
- Bsecond
- Cthird
- 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 (8, −3) and (−4, 0).
Answer: (2, −1.5)
- x: (8 + (−4)) ÷ 2 = 2
- y: (−3 + 0) ÷ 2 = −1.5
9.In which quadrant is the point (−7, 8)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: second
x is negative and y is positive, so the point is in the second quadrant.
10.Find the midpoint of the segment joining (6, −6) and (6, 7).
Answer: (6, 0.5)
- x: (6 + 6) ÷ 2 = 6
- y: (−6 + 7) ÷ 2 = 0.5
11.In which quadrant is the point (2, 1)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: first
x is positive and y is positive, so the point is in the first quadrant.
12.In which quadrant is the point (5, 1)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: first
x is positive and y is positive, so the point is in the first quadrant.
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