Practice Application In Geometry (7) - Coordinate Geometry - IB 10 Mathematics

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Determine if points A(1,1), B(2,2), and C(3,3) are collinear.
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Calculate the slopes to verify.
Question 2.
What is the area of a triangle formed by points A(0,0), B(0,1), and C(1,0)?
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Use the area formula with coordinates.
3Question 3.
What does collinearity mean?
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Think about the slopes between points.
4Question 4.
True or False: The area of triangle can be computed with the vertex coordinates?
- True
- False
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Recall the area formula discussed.
Question 5.
Prove that the points A(1,4), B(3,7), C(5,10), and D(2,8) are not collinear and find the area of triangle ABC.
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Calculate slopes between points.
Question 6.
Given a triangle with vertices at A(0,0), B(3,6), and C(6,0), determine whether the area calculated using the coordinates matches the area found through base and height.
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Check the area calculations with different methods.

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