9th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 9th Grade geometry worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Geometry9th Grade 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 (−1, 0) and (7, −7), correct to 1 decimal place.
Answer: 10.6
- Horizontal change = 8, vertical change = 7
- d = √(82 + 72) = √113
- = 10.6
2.Find the distance between (−4, −5) and (−7, −9).
Answer: 5
- Horizontal change = 3, vertical change = 4
- d = √(32 + 42) = √25
- = 5
3.Find the midpoint of the segment joining (−1, 1) and (5, 2).
Answer: (2, 1.5)
- x: (−1 + 5) ÷ 2 = 2
- y: (1 + 2) ÷ 2 = 1.5
4.Find the distance between (−5, −3) and (3, 4), correct to 1 decimal place.
Answer: 10.6
- Horizontal change = 8, vertical change = 7
- d = √(82 + 72) = √113
- = 10.6
5.Find the midpoint of the segment joining (7, 2) and (−1, −9).
Answer: (3, −3.5)
- x: (7 + (−1)) ÷ 2 = 3
- y: (2 + (−9)) ÷ 2 = −3.5
6.Find the distance between (5, −2) and (13, 13).
Answer: 17
- Horizontal change = 8, vertical change = 15
- d = √(82 + 152) = √289
- = 17
7.Find the midpoint of the segment joining (−9, −8) and (7, −8).
Answer: (−1, −8)
- x: (−9 + 7) ÷ 2 = −1
- y: (−8 + (−8)) ÷ 2 = −8
8.Find the midpoint of the segment joining (−9, −2) and (−4, −5).
Answer: (−6.5, −3.5)
- x: (−9 + (−4)) ÷ 2 = −6.5
- y: (−2 + (−5)) ÷ 2 = −3.5
9.Find the midpoint of the segment joining (−3, 4) and (−5, 2).
Answer: (−4, 3)
- x: (−3 + (−5)) ÷ 2 = −4
- y: (4 + 2) ÷ 2 = 3
10.Find the midpoint of the segment joining (−5, 7) and (−3, −5).
Answer: (−4, 1)
- x: (−5 + (−3)) ÷ 2 = −4
- y: (7 + (−5)) ÷ 2 = 1
11.Find the midpoint of the segment joining (−5, −9) and (−5, 8).
Answer: (−5, −0.5)
- x: (−5 + (−5)) ÷ 2 = −5
- y: (−9 + 8) ÷ 2 = −0.5
12.Find the midpoint of the segment joining (1, −9) and (2, 2).
Answer: (1.5, −3.5)
- x: (1 + 2) ÷ 2 = 1.5
- y: (−9 + 2) ÷ 2 = −3.5
Marking tips
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