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 (−5, −6) and (−10, −18).
Answer: 13
- Horizontal change = 5, vertical change = 12
- d = √(52 + 122) = √169
- = 13
2.Find the distance between (5, 4) and (12, 8), correct to 1 decimal place.
Answer: 8.1
- Horizontal change = 7, vertical change = 4
- d = √(72 + 42) = √65
- = 8.1
3.Find the distance between (3, 3) and (1, −5), correct to 1 decimal place.
Answer: 8.2
- Horizontal change = 2, vertical change = 8
- d = √(22 + 82) = √68
- = 8.2
4.Find the midpoint of the segment joining (1, −4) and (1, −2).
Answer: (1, −3)
- x: (1 + 1) ÷ 2 = 1
- y: (−4 + (−2)) ÷ 2 = −3
5.Find the distance between (5, 5) and (−2, 1), correct to 1 decimal place.
Answer: 8.1
- Horizontal change = 7, vertical change = 4
- d = √(72 + 42) = √65
- = 8.1
6.Find the midpoint of the segment joining (7, −8) and (6, 9).
Answer: (6.5, 0.5)
- x: (7 + 6) ÷ 2 = 6.5
- y: (−8 + 9) ÷ 2 = 0.5
7.Find the distance between (4, −3) and (12, 5), correct to 1 decimal place.
Answer: 11.3
- Horizontal change = 8, vertical change = 8
- d = √(82 + 82) = √128
- = 11.3
8.Find the distance between (−1, 0) and (−9, 15).
Answer: 17
- Horizontal change = 8, vertical change = 15
- d = √(82 + 152) = √289
- = 17
9.Find the distance between (−3, −6) and (5, 9).
Answer: 17
- Horizontal change = 8, vertical change = 15
- d = √(82 + 152) = √289
- = 17
10.Find the distance between (−2, 5) and (5, 11), correct to 1 decimal place.
Answer: 9.2
- Horizontal change = 7, vertical change = 6
- d = √(72 + 62) = √85
- = 9.2
11.Find the midpoint of the segment joining (3, −9) and (3, 8).
Answer: (3, −0.5)
- x: (3 + 3) ÷ 2 = 3
- y: (−9 + 8) ÷ 2 = −0.5
12.Find the midpoint of the segment joining (3, −7) and (5, 1).
Answer: (4, −3)
- x: (3 + 5) ÷ 2 = 4
- y: (−7 + 1) ÷ 2 = −3
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