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Year 6 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — 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 3 — 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 (9, −1)?
  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.

2.In which quadrant is the point (−1, 1)?
  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.

3.In which quadrant is the point (−3, −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.

4.In which quadrant is the point (3, −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.Find the midpoint of the segment joining (−3, −8) and (5, −6).

Answer: (1, −7)

  1. x: (−3 + 5) ÷ 2 = 1
  2. y: (−8 + (−6)) ÷ 2 = −7
6.In which quadrant is the point (2, 4)?
  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.

7.Find the midpoint of the segment joining (−2, −9) and (−1, −3).

Answer: (−1.5, −6)

  1. x: (−2 + (−1)) ÷ 2 = −1.5
  2. y: (−9 + (−3)) ÷ 2 = −6
8.In which quadrant is the point (−7, 4)?
  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.

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

10.In which quadrant is the point (9, −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.

11.Find the midpoint of the segment joining (−8, 4) and (2, −9).

Answer: (−3, −2.5)

  1. x: (−8 + 2) ÷ 2 = −3
  2. y: (4 + (−9)) ÷ 2 = −2.5
12.Find the midpoint of the segment joining (−9, −8) and (3, 7).

Answer: (−3, −0.5)

  1. x: (−9 + 3) ÷ 2 = −3
  2. y: (−8 + 7) ÷ 2 = −0.5
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