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6th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the 6th Grade geometry worksheet.

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Success TutoringWorksheetsAnswer sheet6th Grade · Mathematics · Geometry

6th Grade 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 distance between (−4, −5) and (−9, 7).

Answer: 13

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

Answer: 7.6

  1. Horizontal change = 7, vertical change = 3
  2. d = √(72 + 32) = √58
  3. = 7.6
3.Find the midpoint of the segment joining (−7, −4) and (−8, 7).

Answer: (−7.5, 1.5)

  1. x: (−7 + (−8)) ÷ 2 = −7.5
  2. y: (−4 + 7) ÷ 2 = 1.5
4.Find the distance between (−6, −2) and (−5, −9), correct to 1 decimal place.

Answer: 7.1

  1. Horizontal change = 1, vertical change = 7
  2. d = √(12 + 72) = √50
  3. = 7.1
5.Find the midpoint of the segment joining (0, −4) and (−8, −4).

Answer: (−4, −4)

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

Answer: (−3.5, −4)

  1. x: (1 + (−8)) ÷ 2 = −3.5
  2. y: (−2 + (−6)) ÷ 2 = −4
7.Find the distance between (−6, 4) and (−5, 3), correct to 1 decimal place.

Answer: 1.4

  1. Horizontal change = 1, vertical change = 1
  2. d = √(12 + 12) = √2
  3. = 1.4
8.Find the distance between (−3, −6) and (−9, 2).

Answer: 10

  1. Horizontal change = 6, vertical change = 8
  2. d = √(62 + 82) = √100
  3. = 10
9.Find the midpoint of the segment joining (0, −9) and (1, 7).

Answer: (0.5, −1)

  1. x: (0 + 1) ÷ 2 = 0.5
  2. y: (−9 + 7) ÷ 2 = −1
10.Find the distance between (0, −5) and (6, 3).

Answer: 10

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

Answer: 5

  1. Horizontal change = 3, vertical change = 4
  2. d = √(32 + 42) = √25
  3. = 5
12.Find the midpoint of the segment joining (1, 8) and (−7, −1).

Answer: (−3, 3.5)

  1. x: (1 + (−7)) ÷ 2 = −3
  2. y: (8 + (−1)) ÷ 2 = 3.5
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