Success TutoringWorksheets

10th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 10th Grade geometry worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Geometry

10th 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.Find the midpoint of the segment joining (7, 8) and (−3, −9).

Answer: (2, −0.5)

  1. x: (7 + (−3)) ÷ 2 = 2
  2. y: (8 + (−9)) ÷ 2 = −0.5
2.Find the midpoint of the segment joining (−2, −8) and (0, −8).

Answer: (−1, −8)

  1. x: (−2 + 0) ÷ 2 = −1
  2. y: (−8 + (−8)) ÷ 2 = −8
3.Find the midpoint of the segment joining (6, −2) and (4, 3).

Answer: (5, 0.5)

  1. x: (6 + 4) ÷ 2 = 5
  2. y: (−2 + 3) ÷ 2 = 0.5
4.Find the midpoint of the segment joining (7, 8) and (2, −8).

Answer: (4.5, 0)

  1. x: (7 + 2) ÷ 2 = 4.5
  2. y: (8 + (−8)) ÷ 2 = 0
5.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.

6.Find the midpoint of the segment joining (0, −8) and (4, 5).

Answer: (2, −1.5)

  1. x: (0 + 4) ÷ 2 = 2
  2. y: (−8 + 5) ÷ 2 = −1.5
7.In which quadrant is the point (5, −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.

8.In which quadrant is the point (4, −8)?
  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.

9.Find the midpoint of the segment joining (5, −9) and (−8, −4).

Answer: (−1.5, −6.5)

  1. x: (5 + (−8)) ÷ 2 = −1.5
  2. y: (−9 + (−4)) ÷ 2 = −6.5
10.Find the midpoint of the segment joining (8, 5) and (−9, 3).

Answer: (−0.5, 4)

  1. x: (8 + (−9)) ÷ 2 = −0.5
  2. y: (5 + 3) ÷ 2 = 4
11.Find the midpoint of the segment joining (−5, 5) and (−8, 8).

Answer: (−6.5, 6.5)

  1. x: (−5 + (−8)) ÷ 2 = −6.5
  2. y: (5 + 8) ÷ 2 = 6.5
12.In which quadrant is the point (−9, −5)?
  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.

Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: