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Year 10 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 10 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Geometry

Year 10 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 midpoint of the segment joining (−1, 3) and (9, −9).

Answer: (4, −3)

  1. x: (−1 + 9) ÷ 2 = 4
  2. y: (3 + (−9)) ÷ 2 = −3
2.Find the midpoint of the segment joining (1, −8) and (4, −5).

Answer: (2.5, −6.5)

  1. x: (1 + 4) ÷ 2 = 2.5
  2. y: (−8 + (−5)) ÷ 2 = −6.5
3.Find the distance between (4, −2) and (3, 6), correct to 1 decimal place.

Answer: 8.1

  1. Horizontal change = 1, vertical change = 8
  2. d = √(12 + 82) = √65
  3. = 8.1
4.Find the midpoint of the segment joining (−2, 5) and (6, 2).

Answer: (2, 3.5)

  1. x: (−2 + 6) ÷ 2 = 2
  2. y: (5 + 2) ÷ 2 = 3.5
5.Find the distance between (−5, 2) and (−11, −6).

Answer: 10

  1. Horizontal change = 6, vertical change = 8
  2. d = √(62 + 82) = √100
  3. = 10
6.Find the distance between (6, −1) and (0, −9).

Answer: 10

  1. Horizontal change = 6, vertical change = 8
  2. d = √(62 + 82) = √100
  3. = 10
7.Find the midpoint of the segment joining (6, 7) and (−4, 9).

Answer: (1, 8)

  1. x: (6 + (−4)) ÷ 2 = 1
  2. y: (7 + 9) ÷ 2 = 8
8.Find the midpoint of the segment joining (−8, 9) and (−3, 8).

Answer: (−5.5, 8.5)

  1. x: (−8 + (−3)) ÷ 2 = −5.5
  2. y: (9 + 8) ÷ 2 = 8.5
9.Find the midpoint of the segment joining (−2, 3) and (−5, −2).

Answer: (−3.5, 0.5)

  1. x: (−2 + (−5)) ÷ 2 = −3.5
  2. y: (3 + (−2)) ÷ 2 = 0.5
10.Find the distance between (−2, −4) and (6, 3), correct to 1 decimal place.

Answer: 10.6

  1. Horizontal change = 8, vertical change = 7
  2. d = √(82 + 72) = √113
  3. = 10.6
11.Find the midpoint of the segment joining (8, −8) and (1, −1).

Answer: (4.5, −4.5)

  1. x: (8 + 1) ÷ 2 = 4.5
  2. y: (−8 + (−1)) ÷ 2 = −4.5
12.Find the midpoint of the segment joining (1, 2) and (7, −3).

Answer: (4, −0.5)

  1. x: (1 + 7) ÷ 2 = 4
  2. y: (2 + (−3)) ÷ 2 = −0.5
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