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

2.In which quadrant is the point (−2, −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.

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

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

5.In which quadrant is the point (8, −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 (−1, 0) and (1, −4).

Answer: (0, −2)

  1. x: (−1 + 1) ÷ 2 = 0
  2. y: (0 + (−4)) ÷ 2 = −2
7.Find the midpoint of the segment joining (−5, −5) and (7, −1).

Answer: (1, −3)

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

Answer: (1.5, −5.5)

  1. x: (−6 + 9) ÷ 2 = 1.5
  2. y: (−6 + (−5)) ÷ 2 = −5.5
9.Find the midpoint of the segment joining (6, −5) and (−5, −8).

Answer: (0.5, −6.5)

  1. x: (6 + (−5)) ÷ 2 = 0.5
  2. y: (−5 + (−8)) ÷ 2 = −6.5
10.In which quadrant is the point (−2, −8)?
  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.

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

12.In which quadrant is the point (8, 8)?
  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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