Success TutoringWorksheets

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

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

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Geometry

7th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 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 (−7, −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.

2.Find the midpoint of the segment joining (−3, −7) and (−9, −6).

Answer: (−6, −6.5)

  1. x: (−3 + (−9)) ÷ 2 = −6
  2. y: (−7 + (−6)) ÷ 2 = −6.5
3.In which quadrant is the point (2, 3)?
  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.

4.Find the midpoint of the segment joining (−8, −9) and (2, 4).

Answer: (−3, −2.5)

  1. x: (−8 + 2) ÷ 2 = −3
  2. y: (−9 + 4) ÷ 2 = −2.5
5.Find the midpoint of the segment joining (0, −1) and (6, 4).

Answer: (3, 1.5)

  1. x: (0 + 6) ÷ 2 = 3
  2. y: (−1 + 4) ÷ 2 = 1.5
6.Find the midpoint of the segment joining (4, −7) and (−6, −8).

Answer: (−1, −7.5)

  1. x: (4 + (−6)) ÷ 2 = −1
  2. y: (−7 + (−8)) ÷ 2 = −7.5
7.Find the midpoint of the segment joining (−8, −4) and (2, 4).

Answer: (−3, 0)

  1. x: (−8 + 2) ÷ 2 = −3
  2. y: (−4 + 4) ÷ 2 = 0
8.In which quadrant is the point (4, 8)?
  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.

9.In which quadrant is the point (2, −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.

10.Find the midpoint of the segment joining (−4, −6) and (−5, −9).

Answer: (−4.5, −7.5)

  1. x: (−4 + (−5)) ÷ 2 = −4.5
  2. y: (−6 + (−9)) ÷ 2 = −7.5
11.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.

12.Find the midpoint of the segment joining (4, 1) and (−3, 5).

Answer: (0.5, 3)

  1. x: (4 + (−3)) ÷ 2 = 0.5
  2. y: (1 + 5) ÷ 2 = 3
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: