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6th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — 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 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 (−2, −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.

2.In which quadrant is the point (−1, −4)?
  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 (−7, −4)?
  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 (9, 9)?
  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.Find the midpoint of the segment joining (4, 9) and (−8, 7).

Answer: (−2, 8)

  1. x: (4 + (−8)) ÷ 2 = −2
  2. y: (9 + 7) ÷ 2 = 8
6.In which quadrant is the point (3, 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.

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

8.Find the midpoint of the segment joining (−7, −9) and (−7, 8).

Answer: (−7, −0.5)

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

Answer: (−1, 0.5)

  1. x: (7 + (−9)) ÷ 2 = −1
  2. y: (4 + (−3)) ÷ 2 = 0.5
10.In which quadrant is the point (−1, 9)?
  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.

11.Find the midpoint of the segment joining (−8, 2) and (−1, −1).

Answer: (−4.5, 0.5)

  1. x: (−8 + (−1)) ÷ 2 = −4.5
  2. y: (2 + (−1)) ÷ 2 = 0.5
12.Find the midpoint of the segment joining (9, −9) and (9, −7).

Answer: (9, −8)

  1. x: (9 + 9) ÷ 2 = 9
  2. y: (−9 + (−7)) ÷ 2 = −8
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