8th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 8th Grade geometry worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Geometry8th 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.Find the midpoint of the segment joining (8, −8) and (6, −7).
Answer: (7, −7.5)
- x: (8 + 6) ÷ 2 = 7
- y: (−8 + (−7)) ÷ 2 = −7.5
2.In which quadrant is the point (7, 3)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: first
x is positive and y is positive, so the point is in the first quadrant.
3.Find the midpoint of the segment joining (−4, −1) and (0, −5).
Answer: (−2, −3)
- x: (−4 + 0) ÷ 2 = −2
- y: (−1 + (−5)) ÷ 2 = −3
4.In which quadrant is the point (8, 4)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: first
x is positive and y is positive, so the point is in the first quadrant.
5.Find the midpoint of the segment joining (−1, −1) and (−2, −8).
Answer: (−1.5, −4.5)
- x: (−1 + (−2)) ÷ 2 = −1.5
- y: (−1 + (−8)) ÷ 2 = −4.5
6.Find the midpoint of the segment joining (5, −5) and (4, 8).
Answer: (4.5, 1.5)
- x: (5 + 4) ÷ 2 = 4.5
- y: (−5 + 8) ÷ 2 = 1.5
7.Find the midpoint of the segment joining (−5, 9) and (5, 1).
Answer: (0, 5)
- x: (−5 + 5) ÷ 2 = 0
- y: (9 + 1) ÷ 2 = 5
8.In which quadrant is the point (8, 2)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: first
x is positive and y is positive, so the point is in the first quadrant.
9.Find the midpoint of the segment joining (−1, −2) and (−5, −1).
Answer: (−3, −1.5)
- x: (−1 + (−5)) ÷ 2 = −3
- y: (−2 + (−1)) ÷ 2 = −1.5
10.In which quadrant is the point (4, −4)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: fourth
x is positive and y is negative, so the point is in the fourth quadrant.
11.Find the midpoint of the segment joining (−6, 4) and (−2, −8).
Answer: (−4, −2)
- x: (−6 + (−2)) ÷ 2 = −4
- y: (4 + (−8)) ÷ 2 = −2
12.Find the midpoint of the segment joining (−1, 1) and (0, 2).
Answer: (−0.5, 1.5)
- x: (−1 + 0) ÷ 2 = −0.5
- y: (1 + 2) ÷ 2 = 1.5
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