Practice Collinearity (7.1) - Coordinate Geometry - IB 10 Mathematics

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6 sample questions

Question 1.
Are the points A(2,3), B(4,6), and C(6,9) collinear?
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Calculate the slopes between pairs to confirm.
Question 2.
What is the area of triangle formed by points A(1,1), B(2,2), and C(3,3)?
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Use the area formula.
3Question 3.
What is collinearity?
- Points on a circle
- Points on the same line
- Points at different angles
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Think about the arrangement of points.
4Question 4.
If three points are collinear, what is the expected area of the triangle they form?
- True
- False
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Consider the definition of area in geometry.
Question 5.
Given four points A(1,1), B(2,2), C(3,3), and D(4,4), determine the area of the quadrilateral formed and explain if they're collinear.
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Calculate slopes again to compare.
Question 6.
Construct a proof showing that points E(0,2), F(1,4), G(2,6), and H(3,8) are collinear based on their slopes.
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Use the slope formula and compare for each pair.

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