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8th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the 8th Grade geometry worksheet.

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8th Grade 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, −6) and (9, −4).

Answer: (0, −5)

  1. x: (−9 + 9) ÷ 2 = 0
  2. y: (−6 + (−4)) ÷ 2 = −5
2.Find the midpoint of the segment joining (−8, 6) and (1, −3).

Answer: (−3.5, 1.5)

  1. x: (−8 + 1) ÷ 2 = −3.5
  2. y: (6 + (−3)) ÷ 2 = 1.5
3.In which quadrant is the point (5, −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.

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

5.In which quadrant is the point (−8, 2)?
  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.In which quadrant is the point (−2, 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.

7.Find the midpoint of the segment joining (9, −5) and (1, 7).

Answer: (5, 1)

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

9.Find the midpoint of the segment joining (−4, 0) and (−4, 4).

Answer: (−4, 2)

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

Answer: (2, 7.5)

  1. x: (6 + (−2)) ÷ 2 = 2
  2. y: (8 + 7) ÷ 2 = 7.5
11.In which quadrant is the point (9, −2)?
  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 (−6, −6) and (3, 8).

Answer: (−1.5, 1)

  1. x: (−6 + 3) ÷ 2 = −1.5
  2. y: (−6 + 8) ÷ 2 = 1
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