Q1
What is the mid-point formula?
A((x₁+x₂)/2, (y₁+y₂)/2)
B(x₁+x₂, y₁+y₂)
C(x₁-x₂, y₁-y₂)
D(x₁×x₂, y₁×y₂)
ICSEClass 10 (ICSE)MathematicsCh 13 · Topic 2
Practice and Revision - Section and Mid-Point Formula
Let us practise and revise what we learned about section and mid-point formula. The section formula finds a point dividing a line segment in
Core concept
The mid-point formula is ((x₁+x₂)/2, (y₁+y₂)/2), averaging the x and y coordinates of two endpoints.
How it works
The section formula for a point dividing a segment in ratio m:n is ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n)).
Why it matters
These formulas are useful for finding specific points along a line segment, like the centroid of a triangle or dividing points for construction.
Key detail
Understanding these formulas is essential for coordinate geometry problems involving points, segments, and geometric properties.
Exam highlight
Key diagram
Keywords worth remembering
Trending
section and mid-point formulaicse class 10
Most searched
ICSE class 10 section and mid-point formula
Quick revision
Study resources
Notes & downloads
Quick notes
• Mid-point formula: ((x₁+x₂)/2, (y₁+y₂)/2).
• It averages x and y coordinates.
• Section formula (ratio m:n): ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n)).
• These find points along a segment.
• Used for triangle centroids.
• Also used for construction dividing points.
• Essential for coordinate geometry problems.
• Practice builds formula application skills.