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8th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 8th Grade geometry worksheet.

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8th 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.In which quadrant is the point (−5, 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.

2.Find the midpoint of the segment joining (1, 5) and (2, 7).

Answer: (1.5, 6)

  1. x: (1 + 2) ÷ 2 = 1.5
  2. y: (5 + 7) ÷ 2 = 6
3.In which quadrant is the point (5, −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.

4.Find the midpoint of the segment joining (6, 7) and (8, 4).

Answer: (7, 5.5)

  1. x: (6 + 8) ÷ 2 = 7
  2. y: (7 + 4) ÷ 2 = 5.5
5.In which quadrant is the point (5, 7)?
  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.

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

7.In which quadrant is the point (−9, 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.

8.Find the midpoint of the segment joining (6, 2) and (1, 5).

Answer: (3.5, 3.5)

  1. x: (6 + 1) ÷ 2 = 3.5
  2. y: (2 + 5) ÷ 2 = 3.5
9.Find the midpoint of the segment joining (−5, −6) and (−7, 5).

Answer: (−6, −0.5)

  1. x: (−5 + (−7)) ÷ 2 = −6
  2. y: (−6 + 5) ÷ 2 = −0.5
10.Find the midpoint of the segment joining (−4, 2) and (−5, −3).

Answer: (−4.5, −0.5)

  1. x: (−4 + (−5)) ÷ 2 = −4.5
  2. y: (2 + (−3)) ÷ 2 = −0.5
11.In which quadrant is the point (2, −1)?
  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 (5, 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.

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