8th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 8th Grade geometry worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Geometry8th Grade 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 (−2, −6) and (−8, −5), correct to 1 decimal place.
Answer: 6.1
- Horizontal change = 6, vertical change = 1
- d = √(62 + 12) = √37
- = 6.1
2.Find the midpoint of the segment joining (−9, 4) and (3, −4).
Answer: (−3, 0)
- x: (−9 + 3) ÷ 2 = −3
- y: (4 + (−4)) ÷ 2 = 0
3.Find the distance between (−1, −4) and (−9, −6), correct to 1 decimal place.
Answer: 8.2
- Horizontal change = 8, vertical change = 2
- d = √(82 + 22) = √68
- = 8.2
4.Find the midpoint of the segment joining (8, 0) and (6, −6).
Answer: (7, −3)
- x: (8 + 6) ÷ 2 = 7
- y: (0 + (−6)) ÷ 2 = −3
5.Find the distance between (6, 0) and (−2, 15).
Answer: 17
- Horizontal change = 8, vertical change = 15
- d = √(82 + 152) = √289
- = 17
6.Find the distance between (−1, −2) and (6, 5), correct to 1 decimal place.
Answer: 9.9
- Horizontal change = 7, vertical change = 7
- d = √(72 + 72) = √98
- = 9.9
7.Find the distance between (1, −3) and (9, 12).
Answer: 17
- Horizontal change = 8, vertical change = 15
- d = √(82 + 152) = √289
- = 17
8.Find the midpoint of the segment joining (−3, −5) and (5, −2).
Answer: (1, −3.5)
- x: (−3 + 5) ÷ 2 = 1
- y: (−5 + (−2)) ÷ 2 = −3.5
9.Find the distance between (3, −2) and (−3, −8), correct to 1 decimal place.
Answer: 8.5
- Horizontal change = 6, vertical change = 6
- d = √(62 + 62) = √72
- = 8.5
10.Find the midpoint of the segment joining (0, −9) and (4, 9).
Answer: (2, 0)
- x: (0 + 4) ÷ 2 = 2
- y: (−9 + 9) ÷ 2 = 0
11.Find the midpoint of the segment joining (−1, −7) and (−5, −4).
Answer: (−3, −5.5)
- x: (−1 + (−5)) ÷ 2 = −3
- y: (−7 + (−4)) ÷ 2 = −5.5
12.Find the midpoint of the segment joining (7, −7) and (6, −5).
Answer: (6.5, −6)
- x: (7 + 6) ÷ 2 = 6.5
- y: (−7 + (−5)) ÷ 2 = −6
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