Practice Exercises - 9 | 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 distance between the points A(5,7) and B(1,3).

💡 Hint: Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Question 2

Easy

Determine the midpoint of the line joining C(2,-1) and D(4,3).

💡 Hint: Remember M = ((x1 + x2)/2, (y1 + y2)/2).

Practice 3 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 the distance between the points (2,3) and (5,7)?

  • 3
  • √18
  • 4√2
  • √50

💡 Hint: Use d = √((x2 - x1)² + (y2 - y1)²).

Question 2

True or False: If two points have the same x-coordinate, the line between them is vertical.

  • True
  • False

💡 Hint: Think about how a vertical line is positioned on the coordinate plane.

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Challenge Problems

Push your limits with challenges.

Question 1

Prove that points A(0,0), B(1,1), C(2,2), and D(3,3) are collinear by calculating the slopes of every pair of points.

💡 Hint: Calculate the slope using m = (y2 - y1) / (x2 - x1) for each pair.

Question 2

Design a triangle using points A(-1,2), B(2,6), and C(4,1). Calculate its area and confirm the results using the formula.

💡 Hint: Plug in the coordinates to the area formula clearly outlined in chapter content.

Challenge and get performance evaluation