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 distance between (4, 2) and (7, 6).
Answer: 5
- Horizontal change = 3, vertical change = 4
- d = √(32 + 42) = √25
- = 5
2.Find the distance between (3, −6) and (−4, −10), correct to 1 decimal place.
Answer: 8.1
- Horizontal change = 7, vertical change = 4
- d = √(72 + 42) = √65
- = 8.1
3.Find the midpoint of the segment joining (2, −3) and (−4, 1).
Answer: (−1, −1)
- x: (2 + (−4)) ÷ 2 = −1
- y: (−3 + 1) ÷ 2 = −1
4.Find the midpoint of the segment joining (5, 4) and (1, 4).
Answer: (3, 4)
- x: (5 + 1) ÷ 2 = 3
- y: (4 + 4) ÷ 2 = 4
5.Find the midpoint of the segment joining (1, −3) and (−1, −8).
Answer: (0, −5.5)
- x: (1 + (−1)) ÷ 2 = 0
- y: (−3 + (−8)) ÷ 2 = −5.5
6.Find the midpoint of the segment joining (7, 7) and (−8, 2).
Answer: (−0.5, 4.5)
- x: (7 + (−8)) ÷ 2 = −0.5
- y: (7 + 2) ÷ 2 = 4.5
7.Find the distance between (−2, −4) and (6, 11).
Answer: 17
- Horizontal change = 8, vertical change = 15
- d = √(82 + 152) = √289
- = 17
8.Find the midpoint of the segment joining (3, 0) and (−5, −9).
Answer: (−1, −4.5)
- x: (3 + (−5)) ÷ 2 = −1
- y: (0 + (−9)) ÷ 2 = −4.5
9.Find the distance between (3, −5) and (6, −9).
Answer: 5
- Horizontal change = 3, vertical change = 4
- d = √(32 + 42) = √25
- = 5
10.Find the distance between (−6, 2) and (2, −1), correct to 1 decimal place.
Answer: 8.5
- Horizontal change = 8, vertical change = 3
- d = √(82 + 32) = √73
- = 8.5
11.Find the midpoint of the segment joining (−6, 3) and (−3, 9).
Answer: (−4.5, 6)
- x: (−6 + (−3)) ÷ 2 = −4.5
- y: (3 + 9) ÷ 2 = 6
12.Find the midpoint of the segment joining (6, −9) and (−9, 0).
Answer: (−1.5, −4.5)
- x: (6 + (−9)) ÷ 2 = −1.5
- y: (−9 + 0) ÷ 2 = −4.5
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