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9th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 9th Grade geometry worksheet.

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9th Grade 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.Find the midpoint of the segment joining (4, −8) and (−6, −9).

Answer: (−1, −8.5)

  1. x: (4 + (−6)) ÷ 2 = −1
  2. y: (−8 + (−9)) ÷ 2 = −8.5
2.Find the midpoint of the segment joining (0, −7) and (−3, 1).

Answer: (−1.5, −3)

  1. x: (0 + (−3)) ÷ 2 = −1.5
  2. y: (−7 + 1) ÷ 2 = −3
3.In which quadrant is the point (−3, −2)?
  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.

4.In which quadrant is the point (−2, −9)?
  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.

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

6.Find the midpoint of the segment joining (−3, 2) and (8, −2).

Answer: (2.5, 0)

  1. x: (−3 + 8) ÷ 2 = 2.5
  2. y: (2 + (−2)) ÷ 2 = 0
7.In which quadrant is the point (1, −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.

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

9.Find the midpoint of the segment joining (−3, −8) and (1, 1).

Answer: (−1, −3.5)

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

11.Find the midpoint of the segment joining (2, −1) and (−3, 6).

Answer: (−0.5, 2.5)

  1. x: (2 + (−3)) ÷ 2 = −0.5
  2. y: (−1 + 6) ÷ 2 = 2.5
12.Find the midpoint of the segment joining (3, −3) and (3, 1).

Answer: (3, −1)

  1. x: (3 + 3) ÷ 2 = 3
  2. y: (−3 + 1) ÷ 2 = −1
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