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Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Practice Set 2 — 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 — 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, 6) and (5, 7).

Answer: (4.5, 6.5)

  1. x: (4 + 5) ÷ 2 = 4.5
  2. y: (6 + 7) ÷ 2 = 6.5
2.Find the distance between (6, −2) and (4, 3), correct to 1 decimal place.

Answer: 5.4

  1. Horizontal change = 2, vertical change = 5
  2. d = √(22 + 52) = √29
  3. = 5.4
3.Find the distance between (6, −1) and (−2, 14).

Answer: 17

  1. Horizontal change = 8, vertical change = 15
  2. d = √(82 + 152) = √289
  3. = 17
4.Find the distance between (4, −3) and (8, −1), correct to 1 decimal place.

Answer: 4.5

  1. Horizontal change = 4, vertical change = 2
  2. d = √(42 + 22) = √20
  3. = 4.5
5.Find the midpoint of the segment joining (−2, −7) and (−3, −4).

Answer: (−2.5, −5.5)

  1. x: (−2 + (−3)) ÷ 2 = −2.5
  2. y: (−7 + (−4)) ÷ 2 = −5.5
6.Find the midpoint of the segment joining (−1, −7) and (2, 6).

Answer: (0.5, −0.5)

  1. x: (−1 + 2) ÷ 2 = 0.5
  2. y: (−7 + 6) ÷ 2 = −0.5
7.Find the midpoint of the segment joining (8, 1) and (8, −4).

Answer: (8, −1.5)

  1. x: (8 + 8) ÷ 2 = 8
  2. y: (1 + (−4)) ÷ 2 = −1.5
8.Find the distance between (6, −3) and (15, 9).

Answer: 15

  1. Horizontal change = 9, vertical change = 12
  2. d = √(92 + 122) = √225
  3. = 15
9.Find the distance between (0, 4) and (8, 3), correct to 1 decimal place.

Answer: 8.1

  1. Horizontal change = 8, vertical change = 1
  2. d = √(82 + 12) = √65
  3. = 8.1
10.Find the midpoint of the segment joining (4, 8) and (−9, −2).

Answer: (−2.5, 3)

  1. x: (4 + (−9)) ÷ 2 = −2.5
  2. y: (8 + (−2)) ÷ 2 = 3
11.Find the midpoint of the segment joining (7, −1) and (5, −1).

Answer: (6, −1)

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

Answer: (−5.5, 1.5)

  1. x: (−7 + (−4)) ÷ 2 = −5.5
  2. y: (5 + (−2)) ÷ 2 = 1.5
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