Year 9 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 3 — 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 3 — 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 (−5, −8) and (3, −1).
Answer: (−1, −4.5)
- x: (−5 + 3) ÷ 2 = −1
- y: (−8 + (−1)) ÷ 2 = −4.5
2.Find the distance between (3, −3) and (−2, 9).
Answer: 13
- Horizontal change = 5, vertical change = 12
- d = √(52 + 122) = √169
- = 13
3.Find the distance between (−3, −1) and (−9, 7).
Answer: 10
- Horizontal change = 6, vertical change = 8
- d = √(62 + 82) = √100
- = 10
4.Find the midpoint of the segment joining (3, 8) and (−8, −2).
Answer: (−2.5, 3)
- x: (3 + (−8)) ÷ 2 = −2.5
- y: (8 + (−2)) ÷ 2 = 3
5.Find the midpoint of the segment joining (1, −4) and (−8, 2).
Answer: (−3.5, −1)
- x: (1 + (−8)) ÷ 2 = −3.5
- y: (−4 + 2) ÷ 2 = −1
6.Find the distance between (1, 5) and (9, 4), correct to 1 decimal place.
Answer: 8.1
- Horizontal change = 8, vertical change = 1
- d = √(82 + 12) = √65
- = 8.1
7.Find the distance between (−3, 2) and (−12, −10).
Answer: 15
- Horizontal change = 9, vertical change = 12
- d = √(92 + 122) = √225
- = 15
8.Find the distance between (−4, 6) and (2, 0), correct to 1 decimal place.
Answer: 8.5
- Horizontal change = 6, vertical change = 6
- d = √(62 + 62) = √72
- = 8.5
9.Find the distance between (3, −6) and (8, −14), correct to 1 decimal place.
Answer: 9.4
- Horizontal change = 5, vertical change = 8
- d = √(52 + 82) = √89
- = 9.4
10.Find the midpoint of the segment joining (−5, −4) and (4, 4).
Answer: (−0.5, 0)
- x: (−5 + 4) ÷ 2 = −0.5
- y: (−4 + 4) ÷ 2 = 0
11.Find the distance between (−4, 1) and (1, −11).
Answer: 13
- Horizontal change = 5, vertical change = 12
- d = √(52 + 122) = √169
- = 13
12.Find the midpoint of the segment joining (3, −8) and (1, 0).
Answer: (2, −4)
- x: (3 + 1) ÷ 2 = 2
- y: (−8 + 0) ÷ 2 = −4
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