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

Answer sheet with worked solutions for the Year 7 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Geometry

Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 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 (−2, −7) and (−9, 4).

Answer: (−5.5, −1.5)

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

Answer: (−0.5, 1.5)

  1. x: (7 + (−8)) ÷ 2 = −0.5
  2. y: (1 + 2) ÷ 2 = 1.5
3.Find the midpoint of the segment joining (−2, 2) and (−4, 8).

Answer: (−3, 5)

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

Answer: 1.4

  1. Horizontal change = 1, vertical change = 1
  2. d = √(12 + 12) = √2
  3. = 1.4
5.Find the distance between (0, 1) and (9, −11).

Answer: 15

  1. Horizontal change = 9, vertical change = 12
  2. d = √(92 + 122) = √225
  3. = 15
6.Find the distance between (3, 2) and (−6, 14).

Answer: 15

  1. Horizontal change = 9, vertical change = 12
  2. d = √(92 + 122) = √225
  3. = 15
7.Find the distance between (3, 0) and (8, −12).

Answer: 13

  1. Horizontal change = 5, vertical change = 12
  2. d = √(52 + 122) = √169
  3. = 13
8.Find the distance between (−3, 3) and (5, 18).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
9.Find the distance between (−3, 2) and (0, 6).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
10.Find the midpoint of the segment joining (−6, −7) and (3, 3).

Answer: (−1.5, −2)

  1. x: (−6 + 3) ÷ 2 = −1.5
  2. y: (−7 + 3) ÷ 2 = −2
11.Find the midpoint of the segment joining (9, 0) and (−8, −4).

Answer: (0.5, −2)

  1. x: (9 + (−8)) ÷ 2 = 0.5
  2. y: (0 + (−4)) ÷ 2 = −2
12.Find the midpoint of the segment joining (4, −7) and (−1, −1).

Answer: (1.5, −4)

  1. x: (4 + (−1)) ÷ 2 = 1.5
  2. y: (−7 + (−1)) ÷ 2 = −4
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