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7th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 7th Grade geometry worksheet.

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7th 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.Find the midpoint of the segment joining (8, 1) and (3, 8).

Answer: (5.5, 4.5)

  1. x: (8 + 3) ÷ 2 = 5.5
  2. y: (1 + 8) ÷ 2 = 4.5
2.In which quadrant is the point (1, −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.

3.Find the midpoint of the segment joining (4, 8) and (9, 9).

Answer: (6.5, 8.5)

  1. x: (4 + 9) ÷ 2 = 6.5
  2. y: (8 + 9) ÷ 2 = 8.5
4.Find the midpoint of the segment joining (−7, −8) and (−9, 0).

Answer: (−8, −4)

  1. x: (−7 + (−9)) ÷ 2 = −8
  2. y: (−8 + 0) ÷ 2 = −4
5.In which quadrant is the point (7, 5)?
  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, 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.

7.Find the midpoint of the segment joining (−1, 0) and (−8, 1).

Answer: (−4.5, 0.5)

  1. x: (−1 + (−8)) ÷ 2 = −4.5
  2. y: (0 + 1) ÷ 2 = 0.5
8.Find the midpoint of the segment joining (4, 3) and (4, −8).

Answer: (4, −2.5)

  1. x: (4 + 4) ÷ 2 = 4
  2. y: (3 + (−8)) ÷ 2 = −2.5
9.In which quadrant is the point (4, 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.

10.Find the midpoint of the segment joining (5, 7) and (−6, −6).

Answer: (−0.5, 0.5)

  1. x: (5 + (−6)) ÷ 2 = −0.5
  2. y: (7 + (−6)) ÷ 2 = 0.5
11.Find the midpoint of the segment joining (0, 0) and (4, −9).

Answer: (2, −4.5)

  1. x: (0 + 4) ÷ 2 = 2
  2. y: (0 + (−9)) ÷ 2 = −4.5
12.In which quadrant is the point (−5, −7)?
  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.

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