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6th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the 6th Grade geometry worksheet.

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6th 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 (2, −8) and (1, 3).

Answer: (1.5, −2.5)

  1. x: (2 + 1) ÷ 2 = 1.5
  2. y: (−8 + 3) ÷ 2 = −2.5
2.In which quadrant is the point (5, −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.

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

4.Find the midpoint of the segment joining (0, −2) and (4, −2).

Answer: (2, −2)

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

Answer: (−3, 8.5)

  1. x: (3 + (−9)) ÷ 2 = −3
  2. y: (8 + 9) ÷ 2 = 8.5
6.In which quadrant is the point (5, −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.

7.In which quadrant is the point (−7, 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.

8.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.

9.In which quadrant is the point (−6, 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.

10.In which quadrant is the point (9, −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.Find the midpoint of the segment joining (2, 5) and (2, −1).

Answer: (2, 2)

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

Answer: (−2.5, −1)

  1. x: (−7 + 2) ÷ 2 = −2.5
  2. y: (−7 + 5) ÷ 2 = −1
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