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Year 6 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — Answers

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

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Year 6 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — 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 (−1, −2) and (−1, 2).

Answer: (−1, 0)

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

Answer: (−0.5, 0.5)

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

Answer: (3.5, −2.5)

  1. x: (9 + (−2)) ÷ 2 = 3.5
  2. y: (−4 + (−1)) ÷ 2 = −2.5
4.Find the midpoint of the segment joining (−4, 7) and (8, −9).

Answer: (2, −1)

  1. x: (−4 + 8) ÷ 2 = 2
  2. y: (7 + (−9)) ÷ 2 = −1
5.In which quadrant is the point (−9, −3)?
  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.

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

Answer: (−1, −4.5)

  1. x: (2 + (−4)) ÷ 2 = −1
  2. y: (−8 + (−1)) ÷ 2 = −4.5
7.In which quadrant is the point (8, −5)?
  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.

8.In which quadrant is the point (7, 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, 1)?
  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.

10.Find the midpoint of the segment joining (3, 8) and (−5, 7).

Answer: (−1, 7.5)

  1. x: (3 + (−5)) ÷ 2 = −1
  2. y: (8 + 7) ÷ 2 = 7.5
11.In which quadrant is the point (−2, −8)?
  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.

12.In which quadrant is the point (7, 6)?
  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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