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Year 9 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — 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 (7, 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.

2.Find the midpoint of the segment joining (−8, 2) and (1, 9).

Answer: (−3.5, 5.5)

  1. x: (−8 + 1) ÷ 2 = −3.5
  2. y: (2 + 9) ÷ 2 = 5.5
3.In which quadrant is the point (9, 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.

4.In which quadrant is the point (−5, 7)?
  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.Find the midpoint of the segment joining (−9, 9) and (−8, 4).

Answer: (−8.5, 6.5)

  1. x: (−9 + (−8)) ÷ 2 = −8.5
  2. y: (9 + 4) ÷ 2 = 6.5
6.Find the midpoint of the segment joining (5, −9) and (−9, −6).

Answer: (−2, −7.5)

  1. x: (5 + (−9)) ÷ 2 = −2
  2. y: (−9 + (−6)) ÷ 2 = −7.5
7.Find the midpoint of the segment joining (−4, −4) and (7, −1).

Answer: (1.5, −2.5)

  1. x: (−4 + 7) ÷ 2 = 1.5
  2. y: (−4 + (−1)) ÷ 2 = −2.5
8.Find the midpoint of the segment joining (0, 7) and (0, −7).

Answer: (0, 0)

  1. x: (0 + 0) ÷ 2 = 0
  2. y: (7 + (−7)) ÷ 2 = 0
9.In which quadrant is the point (−3, −7)?
  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.In which quadrant is the point (9, −5)?
  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, 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.

12.In which quadrant is the point (−2, −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.

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