Practice Exercises (9) - Coordinate Geometry - IB 10 Mathematics – Group 5, Geometry & Trigonometry
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Practice Questions

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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).

3 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

3 more questions available

Challenge Problems

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Challenge 1 Hard

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.

Challenge 2 Hard

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.

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