Practice Area of a Triangle (Coordinate Geometry) - 7.2 | 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

Find the area of the triangle with vertices A(0, 0), B(4, 0), and C(0, 4).

💡 Hint: Use the formula provided in the section.

Question 2

Easy

Calculate the area for the triangle formed by A(1, 1), B(2, 4), C(3, 1).

💡 Hint: Plug the coordinates into the formula correctly.

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 formula is used to calculate the area of a triangle given its vertices?

💡 Hint: Remember the components involved in the triangle's vertices.

Question 2

True or False: The area of a triangle can be negative.

  • True
  • False

💡 Hint: Recall how absolute value affects the area.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Points A(1, 2), B(4, 6), and C(5, 10) form a triangle. Prove that these three points are collinear and hence find the area.

💡 Hint: Check if the area formula simplifies to yield 0.

Question 2

Given A(2, 3), B(0, 6), and C(-1, 2), determine the area of the triangle and its possible interpretations.

💡 Hint: Be mindful of the negative coordinates; they affect placement on the graph.

Challenge and get performance evaluation