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

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Year 7 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 midpoint of the segment joining (−5, −5) and (3, 3).

Answer: (−1, −1)

  1. x: (−5 + 3) ÷ 2 = −1
  2. y: (−5 + 3) ÷ 2 = −1
2.Find the distance between (−1, −1) and (7, −16).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
3.Find the midpoint of the segment joining (−9, 8) and (−1, 8).

Answer: (−5, 8)

  1. x: (−9 + (−1)) ÷ 2 = −5
  2. y: (8 + 8) ÷ 2 = 8
4.Find the distance between (−3, 2) and (0, −7), correct to 1 decimal place.

Answer: 9.5

  1. Horizontal change = 3, vertical change = 9
  2. d = √(32 + 92) = √90
  3. = 9.5
5.Find the midpoint of the segment joining (8, 0) and (−7, −2).

Answer: (0.5, −1)

  1. x: (8 + (−7)) ÷ 2 = 0.5
  2. y: (0 + (−2)) ÷ 2 = −1
6.Find the distance between (4, 5) and (−1, 17).

Answer: 13

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

Answer: (5.5, 1.5)

  1. x: (2 + 9) ÷ 2 = 5.5
  2. y: (−1 + 4) ÷ 2 = 1.5
8.Find the midpoint of the segment joining (−7, −9) and (5, 1).

Answer: (−1, −4)

  1. x: (−7 + 5) ÷ 2 = −1
  2. y: (−9 + 1) ÷ 2 = −4
9.Find the distance between (−2, 3) and (3, 2), correct to 1 decimal place.

Answer: 5.1

  1. Horizontal change = 5, vertical change = 1
  2. d = √(52 + 12) = √26
  3. = 5.1
10.Find the distance between (2, 1) and (7, 13).

Answer: 13

  1. Horizontal change = 5, vertical change = 12
  2. d = √(52 + 122) = √169
  3. = 13
11.Find the midpoint of the segment joining (0, −9) and (−7, −5).

Answer: (−3.5, −7)

  1. x: (0 + (−7)) ÷ 2 = −3.5
  2. y: (−9 + (−5)) ÷ 2 = −7
12.Find the midpoint of the segment joining (−4, −6) and (9, 2).

Answer: (2.5, −2)

  1. x: (−4 + 9) ÷ 2 = 2.5
  2. y: (−6 + 2) ÷ 2 = −2
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