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Year 9 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — 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 — 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.Find the midpoint of the segment joining (−8, 1) and (0, −8).

Answer: (−4, −3.5)

  1. x: (−8 + 0) ÷ 2 = −4
  2. y: (1 + (−8)) ÷ 2 = −3.5
2.Find the midpoint of the segment joining (3, −8) and (8, 7).

Answer: (5.5, −0.5)

  1. x: (3 + 8) ÷ 2 = 5.5
  2. y: (−8 + 7) ÷ 2 = −0.5
3.In which quadrant is the point (−8, 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.

4.Find the midpoint of the segment joining (0, 7) and (−2, −2).

Answer: (−1, 2.5)

  1. x: (0 + (−2)) ÷ 2 = −1
  2. y: (7 + (−2)) ÷ 2 = 2.5
5.Find the midpoint of the segment joining (5, 9) and (−9, 9).

Answer: (−2, 9)

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

Answer: (−5.5, −6)

  1. x: (−5 + (−6)) ÷ 2 = −5.5
  2. y: (−6 + (−6)) ÷ 2 = −6
7.Find the midpoint of the segment joining (−2, −9) and (−9, −1).

Answer: (−5.5, −5)

  1. x: (−2 + (−9)) ÷ 2 = −5.5
  2. y: (−9 + (−1)) ÷ 2 = −5
8.Find the midpoint of the segment joining (7, 0) and (6, 8).

Answer: (6.5, 4)

  1. x: (7 + 6) ÷ 2 = 6.5
  2. y: (0 + 8) ÷ 2 = 4
9.In which quadrant is the point (9, −2)?
  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.Find the midpoint of the segment joining (7, 9) and (7, 5).

Answer: (7, 7)

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

12.Find the midpoint of the segment joining (7, 0) and (9, −8).

Answer: (8, −4)

  1. x: (7 + 9) ÷ 2 = 8
  2. y: (0 + (−8)) ÷ 2 = −4
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