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

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Geometry

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 distance between (−5, −3) and (1, 5).

Answer: 10

  1. Horizontal change = 6, vertical change = 8
  2. d = √(62 + 82) = √100
  3. = 10
2.Find the distance between (0, 2) and (−5, −10).

Answer: 13

  1. Horizontal change = 5, vertical change = 12
  2. d = √(52 + 122) = √169
  3. = 13
3.Find the distance between (3, 2) and (11, 5), 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 distance between (−2, 5) and (−4, 12), correct to 1 decimal place.

Answer: 7.3

  1. Horizontal change = 2, vertical change = 7
  2. d = √(22 + 72) = √53
  3. = 7.3
5.Find the midpoint of the segment joining (−6, −4) and (5, 5).

Answer: (−0.5, 0.5)

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

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
7.Find the distance between (2, 1) and (5, −3).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
8.Find the distance between (−4, 6) and (−6, 4), correct to 1 decimal place.

Answer: 2.8

  1. Horizontal change = 2, vertical change = 2
  2. d = √(22 + 22) = √8
  3. = 2.8
9.Find the midpoint of the segment joining (−3, −1) and (7, −4).

Answer: (2, −2.5)

  1. x: (−3 + 7) ÷ 2 = 2
  2. y: (−1 + (−4)) ÷ 2 = −2.5
10.Find the distance between (−5, 2) and (3, −3), correct to 1 decimal place.

Answer: 9.4

  1. Horizontal change = 8, vertical change = 5
  2. d = √(82 + 52) = √89
  3. = 9.4
11.Find the midpoint of the segment joining (−9, −1) and (9, −3).

Answer: (0, −2)

  1. x: (−9 + 9) ÷ 2 = 0
  2. y: (−1 + (−3)) ÷ 2 = −2
12.Find the midpoint of the segment joining (8, −4) and (−2, −3).

Answer: (3, −3.5)

  1. x: (8 + (−2)) ÷ 2 = 3
  2. y: (−4 + (−3)) ÷ 2 = −3.5
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