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 distance between (−2, 4) and (3, 16).
Answer: 13
- Horizontal change = 5, vertical change = 12
- d = √(52 + 122) = √169
- = 13
2.Find the distance between (5, 2) and (13, 4), correct to 1 decimal place.
Answer: 8.2
- Horizontal change = 8, vertical change = 2
- d = √(82 + 22) = √68
- = 8.2
3.Find the midpoint of the segment joining (−7, 7) and (−4, −9).
Answer: (−5.5, −1)
- x: (−7 + (−4)) ÷ 2 = −5.5
- y: (7 + (−9)) ÷ 2 = −1
4.Find the distance between (−3, −6) and (2, 6).
Answer: 13
- Horizontal change = 5, vertical change = 12
- d = √(52 + 122) = √169
- = 13
5.Find the distance between (−4, 6) and (−7, 8), correct to 1 decimal place.
Answer: 3.6
- Horizontal change = 3, vertical change = 2
- d = √(32 + 22) = √13
- = 3.6
6.Find the midpoint of the segment joining (4, 0) and (7, 1).
Answer: (5.5, 0.5)
- x: (4 + 7) ÷ 2 = 5.5
- y: (0 + 1) ÷ 2 = 0.5
7.Find the distance between (−4, −3) and (−9, −15).
Answer: 13
- Horizontal change = 5, vertical change = 12
- d = √(52 + 122) = √169
- = 13
8.Find the distance between (−6, 1) and (−3, 5).
Answer: 5
- Horizontal change = 3, vertical change = 4
- d = √(32 + 42) = √25
- = 5
9.Find the midpoint of the segment joining (3, 6) and (−3, 6).
Answer: (0, 6)
- x: (3 + (−3)) ÷ 2 = 0
- y: (6 + 6) ÷ 2 = 6
10.Find the distance between (4, −2) and (−4, 13).
Answer: 17
- Horizontal change = 8, vertical change = 15
- d = √(82 + 152) = √289
- = 17
11.Find the distance between (−4, −3) and (2, 5).
Answer: 10
- Horizontal change = 6, vertical change = 8
- d = √(62 + 82) = √100
- = 10
12.Find the midpoint of the segment joining (−8, −9) and (−2, 6).
Answer: (−5, −1.5)
- x: (−8 + (−2)) ÷ 2 = −5
- y: (−9 + 6) ÷ 2 = −1.5
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