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10th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — 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 3 — 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 (8, 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.

2.Find the midpoint of the segment joining (−7, −1) and (−4, −5).

Answer: (−5.5, −3)

  1. x: (−7 + (−4)) ÷ 2 = −5.5
  2. y: (−1 + (−5)) ÷ 2 = −3
3.Find the midpoint of the segment joining (−2, −2) and (−6, −6).

Answer: (−4, −4)

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

Answer: (5.5, 3.5)

  1. x: (7 + 4) ÷ 2 = 5.5
  2. y: (3 + 4) ÷ 2 = 3.5
5.Find the midpoint of the segment joining (−3, −5) and (−6, −7).

Answer: (−4.5, −6)

  1. x: (−3 + (−6)) ÷ 2 = −4.5
  2. y: (−5 + (−7)) ÷ 2 = −6
6.In which quadrant is the point (9, −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.

7.In which quadrant is the point (−1, 3)?
  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.In which quadrant is the point (−5, −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.

9.In which quadrant is the point (8, 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.

10.Find the midpoint of the segment joining (−1, −9) and (2, 2).

Answer: (0.5, −3.5)

  1. x: (−1 + 2) ÷ 2 = 0.5
  2. y: (−9 + 2) ÷ 2 = −3.5
11.Find the midpoint of the segment joining (3, −2) and (−8, 3).

Answer: (−2.5, 0.5)

  1. x: (3 + (−8)) ÷ 2 = −2.5
  2. y: (−2 + 3) ÷ 2 = 0.5
12.Find the midpoint of the segment joining (8, −6) and (−5, −2).

Answer: (1.5, −4)

  1. x: (8 + (−5)) ÷ 2 = 1.5
  2. y: (−6 + (−2)) ÷ 2 = −4
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