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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, −9) and (−1, 8).

Answer: (4, −0.5)

  1. x: (9 + (−1)) ÷ 2 = 4
  2. y: (−9 + 8) ÷ 2 = −0.5
2.In which quadrant is the point (−4, −5)?
  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.

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

4.Find the midpoint of the segment joining (8, −4) and (6, −6).

Answer: (7, −5)

  1. x: (8 + 6) ÷ 2 = 7
  2. y: (−4 + (−6)) ÷ 2 = −5
5.Find the midpoint of the segment joining (2, 2) and (−9, −8).

Answer: (−3.5, −3)

  1. x: (2 + (−9)) ÷ 2 = −3.5
  2. y: (2 + (−8)) ÷ 2 = −3
6.In which quadrant is the point (−4, 4)?
  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.

7.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.

8.Find the midpoint of the segment joining (−8, −4) and (−2, −8).

Answer: (−5, −6)

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

Answer: (−5.5, −3)

  1. x: (−2 + (−9)) ÷ 2 = −5.5
  2. y: (−2 + (−4)) ÷ 2 = −3
10.Find the midpoint of the segment joining (−9, −4) and (−5, 7).

Answer: (−7, 1.5)

  1. x: (−9 + (−5)) ÷ 2 = −7
  2. y: (−4 + 7) ÷ 2 = 1.5
11.In which quadrant is the point (5, −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.

12.Find the midpoint of the segment joining (−8, 9) and (6, −7).

Answer: (−1, 1)

  1. x: (−8 + 6) ÷ 2 = −1
  2. y: (9 + (−7)) ÷ 2 = 1
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