How to partition a line at a point P into a ration of 1:3

The video tutorial explains how to partition a line segment into a given ratio, specifically focusing on the ratio of 1 to 3. It covers the difference between part-to-part and part-to-whole ratios, emphasizing the importance of understanding these concepts for partitioning. The tutorial provides a formula for finding partition points and demonstrates its application through a detailed calculation of coordinates. The process involves plotting points, understanding the ratio, and using the formula to determine the partition point's coordinates.

What is the total number of parts when a line segment is divided in the ratio of 1 to 3?

• 4

• 3

• 2

• 5

When partitioning a line segment, why is it important to know if the ratio is part-to-part or part-to-whole?

• To find the midpoint

• To decide the length of each segment

• To determine the number of segments

• To apply the correct formula

Which formula is used to find the partition point of a line segment?

• X1 + K * (X2 - X1), Y1 + K * (Y2 - Y1)

• X1 - K * (X2 - X1), Y1 - K * (Y2 - Y1)

• X1 * K + X2, Y1 * K + Y2

• X1 / K + X2, Y1 / K + Y2

In the formula for partitioning, what does the variable 'K' represent?

• The total distance

• The part-to-whole ratio

• The origin

• The midpoint

What is the final coordinate of the partition point calculated in the example?

• (8, 3)

• (8, 0)

• (3, 8)

• (0, 8)