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Year 11 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 11 geometry worksheet.

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Year 11 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, −8) and (−6, −8).

Answer: (−2.5, −8)

  1. x: (1 + (−6)) ÷ 2 = −2.5
  2. y: (−8 + (−8)) ÷ 2 = −8
2.Find the midpoint of the segment joining (0, −9) and (−4, 3).

Answer: (−2, −3)

  1. x: (0 + (−4)) ÷ 2 = −2
  2. y: (−9 + 3) ÷ 2 = −3
3.Find the midpoint of the segment joining (−1, −9) and (−3, 1).

Answer: (−2, −4)

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

5.In which quadrant is the point (5, 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.

6.Find the midpoint of the segment joining (−8, 7) and (1, 6).

Answer: (−3.5, 6.5)

  1. x: (−8 + 1) ÷ 2 = −3.5
  2. y: (7 + 6) ÷ 2 = 6.5
7.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.

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

9.Find the midpoint of the segment joining (−1, −7) and (−9, 4).

Answer: (−5, −1.5)

  1. x: (−1 + (−9)) ÷ 2 = −5
  2. y: (−7 + 4) ÷ 2 = −1.5
10.In which quadrant is the point (−5, −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.

11.Find the midpoint of the segment joining (−4, −8) and (−7, −8).

Answer: (−5.5, −8)

  1. x: (−4 + (−7)) ÷ 2 = −5.5
  2. y: (−8 + (−8)) ÷ 2 = −8
12.In which quadrant is the point (6, −6)?
  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.

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