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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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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 (−1, 5) and (−7, −7).

Answer: (−4, −1)

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

3.Find the midpoint of the segment joining (7, −8) and (5, −6).

Answer: (6, −7)

  1. x: (7 + 5) ÷ 2 = 6
  2. y: (−8 + (−6)) ÷ 2 = −7
4.Find the midpoint of the segment joining (3, 5) and (5, 4).

Answer: (4, 4.5)

  1. x: (3 + 5) ÷ 2 = 4
  2. y: (5 + 4) ÷ 2 = 4.5
5.Find the midpoint of the segment joining (−5, −1) and (4, 9).

Answer: (−0.5, 4)

  1. x: (−5 + 4) ÷ 2 = −0.5
  2. y: (−1 + 9) ÷ 2 = 4
6.In which quadrant is the point (−3, −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.

7.In which quadrant is the point (9, 8)?
  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.

8.In which quadrant is the point (−4, −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.

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

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

Answer: (−8, −2.5)

  1. x: (−7 + (−9)) ÷ 2 = −8
  2. y: (−2 + (−3)) ÷ 2 = −2.5
11.In which quadrant is the point (−5, −7)?
  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 (−6, −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.

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