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Year 11 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — 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 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 (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.

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

Answer: (−5, 1.5)

  1. x: (−6 + (−4)) ÷ 2 = −5
  2. y: (−1 + 4) ÷ 2 = 1.5
3.In which quadrant is the point (−1, −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.

4.In which quadrant is the point (−3, 5)?
  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.

5.In which quadrant is the point (−4, 6)?
  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.In which quadrant is the point (8, 7)?
  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 (4, 0) and (3, 1).

Answer: (3.5, 0.5)

  1. x: (4 + 3) ÷ 2 = 3.5
  2. y: (0 + 1) ÷ 2 = 0.5
8.Find the midpoint of the segment joining (−9, −3) and (0, −5).

Answer: (−4.5, −4)

  1. x: (−9 + 0) ÷ 2 = −4.5
  2. y: (−3 + (−5)) ÷ 2 = −4
9.In which quadrant is the point (4, −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.

10.In which quadrant is the point (9, −4)?
  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.In which quadrant is the point (−6, 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.

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

Answer: (−4, −1)

  1. x: (−6 + (−2)) ÷ 2 = −4
  2. y: (4 + (−6)) ÷ 2 = −1
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