Year 9 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 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 — 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 (5, 2) and (8, −2).
Answer: 5
- Horizontal change = 3, vertical change = 4
- d = √(32 + 42) = √25
- = 5
2.Find the distance between (0, 0) and (−6, −8).
Answer: 10
- Horizontal change = 6, vertical change = 8
- d = √(62 + 82) = √100
- = 10
3.Find the distance between (−4, 0) and (−5, 8), correct to 1 decimal place.
Answer: 8.1
- Horizontal change = 1, vertical change = 8
- d = √(12 + 82) = √65
- = 8.1
4.Find the distance between (1, 4) and (−7, −11).
Answer: 17
- Horizontal change = 8, vertical change = 15
- d = √(82 + 152) = √289
- = 17
5.Find the distance between (6, 4) and (10, −3), correct to 1 decimal place.
Answer: 8.1
- Horizontal change = 4, vertical change = 7
- d = √(42 + 72) = √65
- = 8.1
6.Find the midpoint of the segment joining (−8, −2) and (−3, −9).
Answer: (−5.5, −5.5)
- x: (−8 + (−3)) ÷ 2 = −5.5
- y: (−2 + (−9)) ÷ 2 = −5.5
7.Find the midpoint of the segment joining (−4, −5) and (8, −5).
Answer: (2, −5)
- x: (−4 + 8) ÷ 2 = 2
- y: (−5 + (−5)) ÷ 2 = −5
8.Find the distance between (4, −4) and (7, 4), correct to 1 decimal place.
Answer: 8.5
- Horizontal change = 3, vertical change = 8
- d = √(32 + 82) = √73
- = 8.5
9.Find the midpoint of the segment joining (4, −6) and (−2, 2).
Answer: (1, −2)
- x: (4 + (−2)) ÷ 2 = 1
- y: (−6 + 2) ÷ 2 = −2
10.Find the midpoint of the segment joining (0, −9) and (−5, 0).
Answer: (−2.5, −4.5)
- x: (0 + (−5)) ÷ 2 = −2.5
- y: (−9 + 0) ÷ 2 = −4.5
11.Find the midpoint of the segment joining (−8, 1) and (−7, −2).
Answer: (−7.5, −0.5)
- x: (−8 + (−7)) ÷ 2 = −7.5
- y: (1 + (−2)) ÷ 2 = −0.5
12.Find the distance between (−5, 6) and (−13, −9).
Answer: 17
- Horizontal change = 8, vertical change = 15
- d = √(82 + 152) = √289
- = 17
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