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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 (−9, 1) and (−6, 9).

Answer: (−7.5, 5)

  1. x: (−9 + (−6)) ÷ 2 = −7.5
  2. y: (1 + 9) ÷ 2 = 5
2.Find the midpoint of the segment joining (3, −8) and (−5, −2).

Answer: (−1, −5)

  1. x: (3 + (−5)) ÷ 2 = −1
  2. y: (−8 + (−2)) ÷ 2 = −5
3.Find the midpoint of the segment joining (2, −2) and (9, −7).

Answer: (5.5, −4.5)

  1. x: (2 + 9) ÷ 2 = 5.5
  2. y: (−2 + (−7)) ÷ 2 = −4.5
4.In which quadrant is the point (1, 9)?
  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.

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

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

7.Find the midpoint of the segment joining (−2, −9) and (−9, 1).

Answer: (−5.5, −4)

  1. x: (−2 + (−9)) ÷ 2 = −5.5
  2. y: (−9 + 1) ÷ 2 = −4
8.Find the midpoint of the segment joining (−1, 9) and (8, −7).

Answer: (3.5, 1)

  1. x: (−1 + 8) ÷ 2 = 3.5
  2. y: (9 + (−7)) ÷ 2 = 1
9.In which quadrant is the point (−7, 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.

10.In which quadrant is the point (−4, 8)?
  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.

11.Find the midpoint of the segment joining (0, −3) and (−8, 0).

Answer: (−4, −1.5)

  1. x: (0 + (−8)) ÷ 2 = −4
  2. y: (−3 + 0) ÷ 2 = −1.5
12.In which quadrant is the point (6, 8)?
  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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