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

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

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Geometry

Year 9 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 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 (7, −6) and (−1, −8).

Answer: (3, −7)

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

Answer: (2, 0.5)

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

Answer: (−5.5, −6)

  1. x: (−8 + (−3)) ÷ 2 = −5.5
  2. y: (−8 + (−4)) ÷ 2 = −6
4.Find the midpoint of the segment joining (−6, 6) and (1, −9).

Answer: (−2.5, −1.5)

  1. x: (−6 + 1) ÷ 2 = −2.5
  2. y: (6 + (−9)) ÷ 2 = −1.5
5.Find the midpoint of the segment joining (−3, 5) and (9, −1).

Answer: (3, 2)

  1. x: (−3 + 9) ÷ 2 = 3
  2. y: (5 + (−1)) ÷ 2 = 2
6.Find the midpoint of the segment joining (1, 6) and (−1, −9).

Answer: (0, −1.5)

  1. x: (1 + (−1)) ÷ 2 = 0
  2. y: (6 + (−9)) ÷ 2 = −1.5
7.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.

8.In which quadrant is the point (7, 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.

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

10.Find the midpoint of the segment joining (−9, −4) and (2, −6).

Answer: (−3.5, −5)

  1. x: (−9 + 2) ÷ 2 = −3.5
  2. y: (−4 + (−6)) ÷ 2 = −5
11.In which quadrant is the point (1, −9)?
  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.

12.In which quadrant is the point (9, 5)?
  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.

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