Year 9 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 2 — 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 3 — Practice Set 2 — 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, 0) and (−1, 8).
Answer: (1.5, 4)
- x: (4 + (−1)) ÷ 2 = 1.5
- y: (0 + 8) ÷ 2 = 4
2.Find the distance between (−1, 5) and (−2, 14), correct to 1 decimal place.
Answer: 9.1
- Horizontal change = 1, vertical change = 9
- d = √(12 + 92) = √82
- = 9.1
3.Find the midpoint of the segment joining (−7, 8) and (−3, 9).
Answer: (−5, 8.5)
- x: (−7 + (−3)) ÷ 2 = −5
- y: (8 + 9) ÷ 2 = 8.5
4.Find the distance between (3, 1) and (1, 6), correct to 1 decimal place.
Answer: 5.4
- Horizontal change = 2, vertical change = 5
- d = √(22 + 52) = √29
- = 5.4
5.Find the midpoint of the segment joining (−3, −2) and (−4, 9).
Answer: (−3.5, 3.5)
- x: (−3 + (−4)) ÷ 2 = −3.5
- y: (−2 + 9) ÷ 2 = 3.5
6.Find the distance between (−1, 2) and (−6, −10).
Answer: 13
- Horizontal change = 5, vertical change = 12
- d = √(52 + 122) = √169
- = 13
7.Find the midpoint of the segment joining (6, −5) and (−9, 8).
Answer: (−1.5, 1.5)
- x: (6 + (−9)) ÷ 2 = −1.5
- y: (−5 + 8) ÷ 2 = 1.5
8.Find the distance between (2, 2) and (−3, −10).
Answer: 13
- Horizontal change = 5, vertical change = 12
- d = √(52 + 122) = √169
- = 13
9.Find the distance between (1, 1) and (0, 6), correct to 1 decimal place.
Answer: 5.1
- Horizontal change = 1, vertical change = 5
- d = √(12 + 52) = √26
- = 5.1
10.Find the distance between (4, 3) and (3, 7), correct to 1 decimal place.
Answer: 4.1
- Horizontal change = 1, vertical change = 4
- d = √(12 + 42) = √17
- = 4.1
11.Find the distance between (−3, 0) and (4, −8), correct to 1 decimal place.
Answer: 10.6
- Horizontal change = 7, vertical change = 8
- d = √(72 + 82) = √113
- = 10.6
12.Find the midpoint of the segment joining (0, 1) and (−4, 8).
Answer: (−2, 4.5)
- x: (0 + (−4)) ÷ 2 = −2
- y: (1 + 8) ÷ 2 = 4.5
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