Practice - Collinearity
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Practice Questions
Test your understanding with targeted questions
Are the points A(2,3), B(4,6), and C(6,9) collinear?
💡 Hint: Calculate the slopes between pairs to confirm.
What is the area of triangle formed by points A(1,1), B(2,2), and C(3,3)?
💡 Hint: Use the area formula.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is collinearity?
💡 Hint: Think about the arrangement of points.
If three points are collinear, what is the expected area of the triangle they form?
💡 Hint: Consider the definition of area in geometry.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
💡 Hint: Calculate slopes again to compare.
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.
💡 Hint: Use the slope formula and compare for each pair.
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