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10th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — 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 — 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 (−3, 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.

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

3.Find the midpoint of the segment joining (2, 0) and (−6, −7).

Answer: (−2, −3.5)

  1. x: (2 + (−6)) ÷ 2 = −2
  2. y: (0 + (−7)) ÷ 2 = −3.5
4.Find the midpoint of the segment joining (6, −3) and (2, 7).

Answer: (4, 2)

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

Answer: (0, 3.5)

  1. x: (−7 + 7) ÷ 2 = 0
  2. y: (5 + 2) ÷ 2 = 3.5
6.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.

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

8.Find the midpoint of the segment joining (−6, 0) and (5, 8).

Answer: (−0.5, 4)

  1. x: (−6 + 5) ÷ 2 = −0.5
  2. y: (0 + 8) ÷ 2 = 4
9.Find the midpoint of the segment joining (−2, −4) and (9, 4).

Answer: (3.5, 0)

  1. x: (−2 + 9) ÷ 2 = 3.5
  2. y: (−4 + 4) ÷ 2 = 0
10.In which quadrant is the point (2, −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.

11.In which quadrant is the point (1, 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.

12.In which quadrant is the point (9, 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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