Practice Section Formula (8.7) - Coordinate Geometry

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What are the coordinates of point P if A(1,1), B(5,5) and P divides AB in the ratio 1:1?
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Using equal ratios means P is the midpoint.
Question 2.
Find coordinates of P given A(0,0), B(2,2) and the ratio is 1:2.
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Remember to use the formula with m=1 and n=2.
3Question 3.
What does the section formula calculate?
- Coordinates of midpoint
- Coordinates of point dividing line segment
- Length of line segment
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Think about what type of problem the formula is used for.
4Question 4.
True or False: The section formula can be used for points in a three-dimensional space.
- True
- False
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Recall the dimensions the formula is applicable to.
Question 5.
Given A(7,8) and B(-2,-1), find coordinates of point P that divides AB in a ratio of 4:1.
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Use the section formula carefully with m = 4 and n = 1.
Question 6.
If points A(0,-3) and B(5,2) are divided by P in a ratio of 2:5, calculate P.
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Apply the section formula to discover the divided coordinates.

5 more questions in this section. Enroll free to practise them all.