Practice Applications of Coordinate Geometry - 8.8 | 8. Coordinate Geometry | ICSE 9 Mathematics
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Applications of Coordinate Geometry

8.8 - Applications of Coordinate Geometry

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

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

💡 Hint: Use the distance formula.

Question 2 Easy

Find the midpoint of points (0,0) and (4,4).

💡 Hint: Remember to average the x and y coordinates.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What formula would you use to find the distance between two points?

Midpoint Formula
Distance Formula
Section Formula

💡 Hint: Think about how you measure straight-line distance.

Question 2

True or False: The midpoint of the segment between points (4,4) and (10,2) is (7,3).

True
False

💡 Hint: Consider how to find the average of both x and y coordinates.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You have points A(2,3) and B(8,6). Find the coordinates of point C that divides AB in a 1:2 ratio and calculate the distance from point C to point B.

💡 Hint: First, use the section formula to find C, then apply the distance formula.

Challenge 2 Hard

Given triangle vertices A(1,1), B(5,1), and C(3,4), find the perimeter of the triangle.

💡 Hint: Calculate the side lengths using the distance formula.

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Reference links

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