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Year 9 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 9 geometry worksheet.

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Year 9 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.In which quadrant is the point (5, 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.

2.In which quadrant is the point (−5, 2)?
  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 (8, 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.

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

Answer: (−3.5, 7)

  1. x: (−1 + (−6)) ÷ 2 = −3.5
  2. y: (7 + 7) ÷ 2 = 7
5.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.

6.In which quadrant is the point (3, 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.In which quadrant is the point (−6, −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.

8.Find the midpoint of the segment joining (8, 0) and (1, −9).

Answer: (4.5, −4.5)

  1. x: (8 + 1) ÷ 2 = 4.5
  2. y: (0 + (−9)) ÷ 2 = −4.5
9.In which quadrant is the point (−6, 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.

10.Find the midpoint of the segment joining (5, 4) and (5, −3).

Answer: (5, 0.5)

  1. x: (5 + 5) ÷ 2 = 5
  2. y: (4 + (−3)) ÷ 2 = 0.5
11.Find the midpoint of the segment joining (−7, 7) and (−8, −1).

Answer: (−7.5, 3)

  1. x: (−7 + (−8)) ÷ 2 = −7.5
  2. y: (7 + (−1)) ÷ 2 = 3
12.Find the midpoint of the segment joining (−3, 9) and (3, 2).

Answer: (0, 5.5)

  1. x: (−3 + 3) ÷ 2 = 0
  2. y: (9 + 2) ÷ 2 = 5.5
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