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

2.In which quadrant is the point (−5, −3)?
  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 (−3, 7)?
  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.Find the midpoint of the segment joining (−4, 8) and (9, 4).

Answer: (2.5, 6)

  1. x: (−4 + 9) ÷ 2 = 2.5
  2. y: (8 + 4) ÷ 2 = 6
5.In which quadrant is the point (9, −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.

6.In which quadrant is the point (−3, 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.Find the midpoint of the segment joining (−1, 6) and (−2, 2).

Answer: (−1.5, 4)

  1. x: (−1 + (−2)) ÷ 2 = −1.5
  2. y: (6 + 2) ÷ 2 = 4
8.In which quadrant is the point (−5, −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.

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

10.Find the midpoint of the segment joining (6, 7) and (−8, −1).

Answer: (−1, 3)

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

Answer: (0.5, 5)

  1. x: (−8 + 9) ÷ 2 = 0.5
  2. y: (8 + 2) ÷ 2 = 5
12.In which quadrant is the point (−4, −4)?
  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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