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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 (−1, −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.

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

3.In which quadrant is the point (8, −4)?
  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.In which quadrant is the point (3, −8)?
  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.

5.In which quadrant is the point (−8, −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.

6.Find the midpoint of the segment joining (5, −9) and (−9, 4).

Answer: (−2, −2.5)

  1. x: (5 + (−9)) ÷ 2 = −2
  2. y: (−9 + 4) ÷ 2 = −2.5
7.Find the midpoint of the segment joining (−3, 2) and (3, 1).

Answer: (0, 1.5)

  1. x: (−3 + 3) ÷ 2 = 0
  2. y: (2 + 1) ÷ 2 = 1.5
8.Find the midpoint of the segment joining (7, −1) and (−3, 8).

Answer: (2, 3.5)

  1. x: (7 + (−3)) ÷ 2 = 2
  2. y: (−1 + 8) ÷ 2 = 3.5
9.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.

10.Find the midpoint of the segment joining (−8, −9) and (6, −1).

Answer: (−1, −5)

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

Answer: (2.5, −7.5)

  1. x: (−2 + 7) ÷ 2 = 2.5
  2. y: (−9 + (−6)) ÷ 2 = −7.5
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