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6th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 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 — 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 (1, 0) and (2, −3).

Answer: (1.5, −1.5)

  1. x: (1 + 2) ÷ 2 = 1.5
  2. y: (0 + (−3)) ÷ 2 = −1.5
2.In which quadrant is the point (−4, 3)?
  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.Find the midpoint of the segment joining (0, 8) and (6, −1).

Answer: (3, 3.5)

  1. x: (0 + 6) ÷ 2 = 3
  2. y: (8 + (−1)) ÷ 2 = 3.5
4.Find the midpoint of the segment joining (−1, −5) and (−4, −5).

Answer: (−2.5, −5)

  1. x: (−1 + (−4)) ÷ 2 = −2.5
  2. y: (−5 + (−5)) ÷ 2 = −5
5.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.

6.Find the midpoint of the segment joining (7, −4) and (−7, 4).

Answer: (0, 0)

  1. x: (7 + (−7)) ÷ 2 = 0
  2. y: (−4 + 4) ÷ 2 = 0
7.In which quadrant is the point (2, −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.

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

9.Find the midpoint of the segment joining (9, 6) and (3, 2).

Answer: (6, 4)

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

Answer: (−4, 7)

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

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

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