Year 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 geometry worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · GeometryYear 7 Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2 — Practice Set 4 — 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 (9, 2) and (1, 6).
Answer: (5, 4)
- x: (9 + 1) ÷ 2 = 5
- y: (2 + 6) ÷ 2 = 4
2.Find the midpoint of the segment joining (−5, −7) and (−4, 5).
Answer: (−4.5, −1)
- x: (−5 + (−4)) ÷ 2 = −4.5
- y: (−7 + 5) ÷ 2 = −1
3.In which quadrant is the point (−7, −7)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: third
x is negative and y is negative, so the point is in the third quadrant.
4.Find the midpoint of the segment joining (0, −3) and (−7, 7).
Answer: (−3.5, 2)
- x: (0 + (−7)) ÷ 2 = −3.5
- y: (−3 + 7) ÷ 2 = 2
5.Find the midpoint of the segment joining (−3, 2) and (6, −4).
Answer: (1.5, −1)
- x: (−3 + 6) ÷ 2 = 1.5
- y: (2 + (−4)) ÷ 2 = −1
6.In which quadrant is the point (6, −6)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: fourth
x is positive and y is negative, so the point is in the fourth quadrant.
7.Find the midpoint of the segment joining (−6, −2) and (8, −6).
Answer: (1, −4)
- x: (−6 + 8) ÷ 2 = 1
- y: (−2 + (−6)) ÷ 2 = −4
8.Find the midpoint of the segment joining (6, −1) and (−1, −7).
Answer: (2.5, −4)
- x: (6 + (−1)) ÷ 2 = 2.5
- y: (−1 + (−7)) ÷ 2 = −4
9.In which quadrant is the point (5, −6)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: fourth
x is positive and y is negative, so the point is in the fourth quadrant.
10.In which quadrant is the point (1, 6)?
- Afirst
- Bsecond
- Cthird
- Dfourth
Answer: first
x is positive and y is positive, so the point is in the first quadrant.
11.Find the midpoint of the segment joining (−3, 3) and (−8, 9).
Answer: (−5.5, 6)
- x: (−3 + (−8)) ÷ 2 = −5.5
- y: (3 + 9) ÷ 2 = 6
12.Find the midpoint of the segment joining (1, −9) and (6, 5).
Answer: (3.5, −2)
- x: (1 + 6) ÷ 2 = 3.5
- y: (−9 + 5) ÷ 2 = −2
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