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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 (−4, 7) and (−8, 9).

Answer: (−6, 8)

  1. x: (−4 + (−8)) ÷ 2 = −6
  2. y: (7 + 9) ÷ 2 = 8
2.Find the midpoint of the segment joining (5, −6) and (0, 1).

Answer: (2.5, −2.5)

  1. x: (5 + 0) ÷ 2 = 2.5
  2. y: (−6 + 1) ÷ 2 = −2.5
3.Find the midpoint of the segment joining (7, 4) and (−1, 6).

Answer: (3, 5)

  1. x: (7 + (−1)) ÷ 2 = 3
  2. y: (4 + 6) ÷ 2 = 5
4.Find the distance between (3, −2) and (−2, −14).

Answer: 13

  1. Horizontal change = 5, vertical change = 12
  2. d = √(52 + 122) = √169
  3. = 13
5.Find the midpoint of the segment joining (4, −9) and (7, 1).

Answer: (5.5, −4)

  1. x: (4 + 7) ÷ 2 = 5.5
  2. y: (−9 + 1) ÷ 2 = −4
6.Find the distance between (4, 6) and (−1, 15), correct to 1 decimal place.

Answer: 10.3

  1. Horizontal change = 5, vertical change = 9
  2. d = √(52 + 92) = √106
  3. = 10.3
7.Find the distance between (6, −3) and (0, 5).

Answer: 10

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

Answer: (−2, 2.5)

  1. x: (−6 + 2) ÷ 2 = −2
  2. y: (6 + (−1)) ÷ 2 = 2.5
9.Find the midpoint of the segment joining (6, −3) and (3, 5).

Answer: (4.5, 1)

  1. x: (6 + 3) ÷ 2 = 4.5
  2. y: (−3 + 5) ÷ 2 = 1
10.Find the distance between (1, −6) and (−8, −14), correct to 1 decimal place.

Answer: 12.0

  1. Horizontal change = 9, vertical change = 8
  2. d = √(92 + 82) = √145
  3. = 12.0
11.Find the distance between (−6, 5) and (−8, 14), correct to 1 decimal place.

Answer: 9.2

  1. Horizontal change = 2, vertical change = 9
  2. d = √(22 + 92) = √85
  3. = 9.2
12.Find the midpoint of the segment joining (−6, 6) and (−1, −5).

Answer: (−3.5, 0.5)

  1. x: (−6 + (−1)) ÷ 2 = −3.5
  2. y: (6 + (−5)) ÷ 2 = 0.5
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