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

Answer sheet with worked solutions for the 7th Grade geometry worksheet.

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7th Grade 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 (3, −4) and (6, 0).

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
2.Find the distance between (−2, 2) and (−7, 14).

Answer: 13

  1. Horizontal change = 5, vertical change = 12
  2. d = √(52 + 122) = √169
  3. = 13
3.Find the midpoint of the segment joining (−6, −4) and (0, −7).

Answer: (−3, −5.5)

  1. x: (−6 + 0) ÷ 2 = −3
  2. y: (−4 + (−7)) ÷ 2 = −5.5
4.Find the midpoint of the segment joining (−1, −7) and (2, 9).

Answer: (0.5, 1)

  1. x: (−1 + 2) ÷ 2 = 0.5
  2. y: (−7 + 9) ÷ 2 = 1
5.Find the midpoint of the segment joining (1, 9) and (7, −6).

Answer: (4, 1.5)

  1. x: (1 + 7) ÷ 2 = 4
  2. y: (9 + (−6)) ÷ 2 = 1.5
6.Find the distance between (−2, 3) and (−11, 8), correct to 1 decimal place.

Answer: 10.3

  1. Horizontal change = 9, vertical change = 5
  2. d = √(92 + 52) = √106
  3. = 10.3
7.Find the midpoint of the segment joining (−2, 0) and (−4, −1).

Answer: (−3, −0.5)

  1. x: (−2 + (−4)) ÷ 2 = −3
  2. y: (0 + (−1)) ÷ 2 = −0.5
8.Find the distance between (0, −1) and (−9, −10), correct to 1 decimal place.

Answer: 12.7

  1. Horizontal change = 9, vertical change = 9
  2. d = √(92 + 92) = √162
  3. = 12.7
9.Find the midpoint of the segment joining (0, −7) and (9, 5).

Answer: (4.5, −1)

  1. x: (0 + 9) ÷ 2 = 4.5
  2. y: (−7 + 5) ÷ 2 = −1
10.Find the midpoint of the segment joining (−9, 5) and (5, 4).

Answer: (−2, 4.5)

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

Answer: (−1.5, −4)

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

Answer: (0, −4)

  1. x: (9 + (−9)) ÷ 2 = 0
  2. y: (−8 + 0) ÷ 2 = −4
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