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10th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 10th Grade geometry worksheet.

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10th 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 (6, −6)?
  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.

2.In which quadrant is the point (−1, 4)?
  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.In which quadrant is the point (−8, −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.

4.Find the midpoint of the segment joining (−1, 3) and (−7, 9).

Answer: (−4, 6)

  1. x: (−1 + (−7)) ÷ 2 = −4
  2. y: (3 + 9) ÷ 2 = 6
5.Find the midpoint of the segment joining (−8, 9) and (7, −8).

Answer: (−0.5, 0.5)

  1. x: (−8 + 7) ÷ 2 = −0.5
  2. y: (9 + (−8)) ÷ 2 = 0.5
6.In which quadrant is the point (2, 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.

7.In which quadrant is the point (2, −5)?
  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.Find the midpoint of the segment joining (0, 3) and (−4, 7).

Answer: (−2, 5)

  1. x: (0 + (−4)) ÷ 2 = −2
  2. y: (3 + 7) ÷ 2 = 5
9.Find the midpoint of the segment joining (3, −9) and (4, −7).

Answer: (3.5, −8)

  1. x: (3 + 4) ÷ 2 = 3.5
  2. y: (−9 + (−7)) ÷ 2 = −8
10.In which quadrant is the point (−8, 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.

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

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

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