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Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 4 — Answers

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Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 4 — 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 (3, 5) and (9, −3).

Answer: 10

  1. Horizontal change = 6, vertical change = 8
  2. d = √(62 + 82) = √100
  3. = 10
2.Find the midpoint of the segment joining (−7, −6) and (9, 0).

Answer: (1, −3)

  1. x: (−7 + 9) ÷ 2 = 1
  2. y: (−6 + 0) ÷ 2 = −3
3.Find the distance between (−3, −5) and (−11, −2), correct to 1 decimal place.

Answer: 8.5

  1. Horizontal change = 8, vertical change = 3
  2. d = √(82 + 32) = √73
  3. = 8.5
4.Find the midpoint of the segment joining (−1, 9) and (3, 0).

Answer: (1, 4.5)

  1. x: (−1 + 3) ÷ 2 = 1
  2. y: (9 + 0) ÷ 2 = 4.5
5.Find the midpoint of the segment joining (4, −4) and (6, 3).

Answer: (5, −0.5)

  1. x: (4 + 6) ÷ 2 = 5
  2. y: (−4 + 3) ÷ 2 = −0.5
6.Find the distance between (0, 0) and (6, 8).

Answer: 10

  1. Horizontal change = 6, vertical change = 8
  2. d = √(62 + 82) = √100
  3. = 10
7.Find the distance between (3, 1) and (−4, −5), correct to 1 decimal place.

Answer: 9.2

  1. Horizontal change = 7, vertical change = 6
  2. d = √(72 + 62) = √85
  3. = 9.2
8.Find the midpoint of the segment joining (5, 1) and (6, 8).

Answer: (5.5, 4.5)

  1. x: (5 + 6) ÷ 2 = 5.5
  2. y: (1 + 8) ÷ 2 = 4.5
9.Find the midpoint of the segment joining (−2, 0) and (8, −6).

Answer: (3, −3)

  1. x: (−2 + 8) ÷ 2 = 3
  2. y: (0 + (−6)) ÷ 2 = −3
10.Find the distance between (3, 4) and (12, 2), correct to 1 decimal place.

Answer: 9.2

  1. Horizontal change = 9, vertical change = 2
  2. d = √(92 + 22) = √85
  3. = 9.2
11.Find the distance between (−1, −2) and (8, −14).

Answer: 15

  1. Horizontal change = 9, vertical change = 12
  2. d = √(92 + 122) = √225
  3. = 15
12.Find the midpoint of the segment joining (4, −1) and (3, −6).

Answer: (3.5, −3.5)

  1. x: (4 + 3) ÷ 2 = 3.5
  2. y: (−1 + (−6)) ÷ 2 = −3.5
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