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SAI INTERNATIONAL SCHOOL

CBSE CURRICULUM

Class: VI

LESSON NOTE-8.4

SUBJECT: Mathematics

CH: 8-PLAYING WITH CONSTRUCTIONS

SUBTOPIC: AN EXPLORATION IN RECTANGLES

In this section of the chapter Playing with Constructions, we delve deeper into the properties
of rectangles by exploring the distances between different points on the rectangle.
 Understanding Positions and Distances
Imagine a rectangle ABCD with AB = 7 cm and BC = 4 cm. Points X and Y can move along sides
AD and BC, respectively.
The distance between X and Y varies depending on their positions. You can experiment by
placing X and Y at different distances from A and B and measuring the length of the line XY.

In each of these cases, observe
1. how the length of XY compares to that of AB and
2. the shape of the 4-sided figure ABYX.
The distance between X and Y can be obtained by measuring the length of the line XY.
Change the positions of X and Y to check if there are other positions where they are at their
nearest or farthest. You could construct multiple copies of the rectangle and try out various