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

Midpoint = (average of the x-values, average of the y-values). Distance: use Pythagoras with the horizontal and vertical changes.

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

Answer: third

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

2.Find the midpoint of the segment joining (−1, −4) and (−8, −2).

Answer: (−4.5, −3)

  1. x: (−1 + (−8)) ÷ 2 = −4.5
  2. y: (−4 + (−2)) ÷ 2 = −3
3.In which quadrant is the point (9, −9)?
  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.

4.In which quadrant is the point (4, −7)?
  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.

5.In which quadrant is the point (−3, 3)?
  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 (−5, 8) and (−6, −3).

Answer: (−5.5, 2.5)

  1. x: (−5 + (−6)) ÷ 2 = −5.5
  2. y: (8 + (−3)) ÷ 2 = 2.5
7.Find the midpoint of the segment joining (−1, −8) and (−1, 6).

Answer: (−1, −1)

  1. x: (−1 + (−1)) ÷ 2 = −1
  2. y: (−8 + 6) ÷ 2 = −1
8.Find the midpoint of the segment joining (−9, 8) and (5, 3).

Answer: (−2, 5.5)

  1. x: (−9 + 5) ÷ 2 = −2
  2. y: (8 + 3) ÷ 2 = 5.5
9.Find the midpoint of the segment joining (7, 6) and (5, 7).

Answer: (6, 6.5)

  1. x: (7 + 5) ÷ 2 = 6
  2. y: (6 + 7) ÷ 2 = 6.5
10.Find the midpoint of the segment joining (0, 9) and (6, −6).

Answer: (3, 1.5)

  1. x: (0 + 6) ÷ 2 = 3
  2. y: (9 + (−6)) ÷ 2 = 1.5
11.In which quadrant is the point (−5, 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.

12.In which quadrant is the point (1, 9)?
  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.

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