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Year 6 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 6 geometry worksheet.

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Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Geometry

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

Answer: (0, −6)

  1. x: (5 + (−5)) ÷ 2 = 0
  2. y: (−7 + (−5)) ÷ 2 = −6
2.Find the midpoint of the segment joining (2, 2) and (0, 5).

Answer: (1, 3.5)

  1. x: (2 + 0) ÷ 2 = 1
  2. y: (2 + 5) ÷ 2 = 3.5
3.Find the midpoint of the segment joining (1, 3) and (3, −5).

Answer: (2, −1)

  1. x: (1 + 3) ÷ 2 = 2
  2. y: (3 + (−5)) ÷ 2 = −1
4.Find the midpoint of the segment joining (−3, 7) and (5, 0).

Answer: (1, 3.5)

  1. x: (−3 + 5) ÷ 2 = 1
  2. y: (7 + 0) ÷ 2 = 3.5
5.In which quadrant is the point (−4, 8)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: second

x is negative and y is positive, so the point is in the second quadrant.

6.Find the midpoint of the segment joining (0, 4) and (5, −6).

Answer: (2.5, −1)

  1. x: (0 + 5) ÷ 2 = 2.5
  2. y: (4 + (−6)) ÷ 2 = −1
7.Find the midpoint of the segment joining (3, −6) and (−4, −6).

Answer: (−0.5, −6)

  1. x: (3 + (−4)) ÷ 2 = −0.5
  2. y: (−6 + (−6)) ÷ 2 = −6
8.In which quadrant is the point (6, 5)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: first

x is positive and y is positive, so the point is in the first quadrant.

9.In which quadrant is the point (4, −3)?
  1. Afirst
  2. Bsecond
  3. Cthird
  4. Dfourth

Answer: fourth

x is positive and y is negative, so the point is in the fourth quadrant.

10.Find the midpoint of the segment joining (5, 9) and (−4, −1).

Answer: (0.5, 4)

  1. x: (5 + (−4)) ÷ 2 = 0.5
  2. y: (9 + (−1)) ÷ 2 = 4
11.Find the midpoint of the segment joining (4, −8) and (−5, −9).

Answer: (−0.5, −8.5)

  1. x: (4 + (−5)) ÷ 2 = −0.5
  2. y: (−8 + (−9)) ÷ 2 = −8.5
12.Find the midpoint of the segment joining (5, −5) and (−1, −3).

Answer: (2, −4)

  1. x: (5 + (−1)) ÷ 2 = 2
  2. y: (−5 + (−3)) ÷ 2 = −4
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