Year 8 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 geometry worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · GeometryYear 8 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, −5) and (−4, 10).
Answer: 17
- Horizontal change = 8, vertical change = 15
- d = √(82 + 152) = √289
- = 17
2.Find the distance between (1, 6) and (4, 12), correct to 1 decimal place.
Answer: 6.7
- Horizontal change = 3, vertical change = 6
- d = √(32 + 62) = √45
- = 6.7
3.Find the distance between (−6, −6) and (−12, 2).
Answer: 10
- Horizontal change = 6, vertical change = 8
- d = √(62 + 82) = √100
- = 10
4.Find the distance between (5, 3) and (8, 7).
Answer: 5
- Horizontal change = 3, vertical change = 4
- d = √(32 + 42) = √25
- = 5
5.Find the midpoint of the segment joining (4, −3) and (−6, −5).
Answer: (−1, −4)
- x: (4 + (−6)) ÷ 2 = −1
- y: (−3 + (−5)) ÷ 2 = −4
6.Find the midpoint of the segment joining (−9, 6) and (−5, 6).
Answer: (−7, 6)
- x: (−9 + (−5)) ÷ 2 = −7
- y: (6 + 6) ÷ 2 = 6
7.Find the distance between (4, −2) and (7, 2).
Answer: 5
- Horizontal change = 3, vertical change = 4
- d = √(32 + 42) = √25
- = 5
8.Find the midpoint of the segment joining (3, 0) and (1, −7).
Answer: (2, −3.5)
- x: (3 + 1) ÷ 2 = 2
- y: (0 + (−7)) ÷ 2 = −3.5
9.Find the distance between (3, 2) and (−5, 17).
Answer: 17
- Horizontal change = 8, vertical change = 15
- d = √(82 + 152) = √289
- = 17
10.Find the midpoint of the segment joining (−3, 3) and (−8, −7).
Answer: (−5.5, −2)
- x: (−3 + (−8)) ÷ 2 = −5.5
- y: (3 + (−7)) ÷ 2 = −2
11.Find the midpoint of the segment joining (8, 4) and (4, 1).
Answer: (6, 2.5)
- x: (8 + 4) ÷ 2 = 6
- y: (4 + 1) ÷ 2 = 2.5
12.Find the midpoint of the segment joining (9, −3) and (−1, 0).
Answer: (4, −1.5)
- x: (9 + (−1)) ÷ 2 = 4
- y: (−3 + 0) ÷ 2 = −1.5
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