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9th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — 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 3 — 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 (8, −2) and (2, 0).

Answer: (5, −1)

  1. x: (8 + 2) ÷ 2 = 5
  2. y: (−2 + 0) ÷ 2 = −1
2.In which quadrant is the point (−1, −3)?
  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 (−1, −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.

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

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

Answer: (−3, 0)

  1. x: (2 + (−8)) ÷ 2 = −3
  2. y: (4 + (−4)) ÷ 2 = 0
6.In which quadrant is the point (−9, 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.

7.Find the midpoint of the segment joining (−6, −5) and (−1, 2).

Answer: (−3.5, −1.5)

  1. x: (−6 + (−1)) ÷ 2 = −3.5
  2. y: (−5 + 2) ÷ 2 = −1.5
8.In which quadrant is the point (5, 1)?
  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.

9.Find the midpoint of the segment joining (2, 6) and (2, −9).

Answer: (2, −1.5)

  1. x: (2 + 2) ÷ 2 = 2
  2. y: (6 + (−9)) ÷ 2 = −1.5
10.Find the midpoint of the segment joining (7, 4) and (7, −5).

Answer: (7, −0.5)

  1. x: (7 + 7) ÷ 2 = 7
  2. y: (4 + (−5)) ÷ 2 = −0.5
11.In which quadrant is the point (−7, 5)?
  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.

12.Find the midpoint of the segment joining (9, 3) and (−3, −6).

Answer: (3, −1.5)

  1. x: (9 + (−3)) ÷ 2 = 3
  2. y: (3 + (−6)) ÷ 2 = −1.5
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