Practice Collinearity - 7.1 | 4. Coordinate Geometry | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Are the points A(2,3), B(4,6), and C(6,9) collinear?

💡 Hint: Calculate the slopes between pairs to confirm.

Question 2

Easy

What is the area of triangle formed by points A(1,1), B(2,2), and C(3,3)?

💡 Hint: Use the area formula.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is collinearity?

  • Points on a circle
  • Points on the same line
  • Points at different angles

💡 Hint: Think about the arrangement of points.

Question 2

If three points are collinear, what is the expected area of the triangle they form?

  • True
  • False

💡 Hint: Consider the definition of area in geometry.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation