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9th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — 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 4 — 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 (3, −1)?
  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.

2.In which quadrant is the point (−9, 6)?
  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 (−3, −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.

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

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

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

Answer: (7, −0.5)

  1. x: (8 + 6) ÷ 2 = 7
  2. y: (−9 + 8) ÷ 2 = −0.5
7.Find the midpoint of the segment joining (5, 3) and (−4, −4).

Answer: (0.5, −0.5)

  1. x: (5 + (−4)) ÷ 2 = 0.5
  2. y: (3 + (−4)) ÷ 2 = −0.5
8.Find the midpoint of the segment joining (−7, 6) and (9, −9).

Answer: (1, −1.5)

  1. x: (−7 + 9) ÷ 2 = 1
  2. y: (6 + (−9)) ÷ 2 = −1.5
9.In which quadrant is the point (7, 7)?
  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.In which quadrant is the point (7, −3)?
  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 (−8, 1)?
  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.In which quadrant is the point (−8, −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.

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