Practice Section Formula In 3d (3) - Three Dimensional 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.
Use the Section Formula to find R if P(1, 1, 1) and Q(3, 3, 3) divide D in the ratio 1:2.
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Plug the values into the formula carefully!
Question 2.
Identify the midpoint of points A(-3, 2, 5) and B(1, 2, 1).
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Remember to average the coordinates!
3Question 3.
What formula is used to find the coordinates of a point dividing a segment in a ratio?
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Think about how we break down segments.
4Question 4.
True or False: The Midpoint Formula is a version of the Section Formula.
- True
- False
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Consider when the ratios are equal!
Question 5.
If the points D(1, 1, 1) and E(6, 5, 4) create a line, find a point F that divides DE in the ratio of 2:5.
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Use each dimension carefully and combine!
Question 6.
Determine the coordinates of the midpoint between K(3, 6, 9) and J(7, 2, 3).
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Average each coordinate for the final answer!

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