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SAI INTERNATIONAL SCHOOL

CBSE CURRICULUM

Class: VI

LESSON NOTE-8.2

SUBJECT: Mathematics

CH: 8-PLAYING WITH CONSTRUCTIONS

SUBTOPIC: SQUARES AND RECTANGLES

Squares and Rectangles
Within the chapter playing with constructions, when moving from circles to shapes with
straight lines, we explore squares and rectangles—two of the most fundamental shapes in
geometry.
 Understanding Rectangles
Consider a rectangle named ABCD. The points A, B, C, and D are its corners, and the lines AB,
BC, CD, and DA are its sides.
In a rectangle, the opposite sides are equal in length, and all angles are 90°. Lines AB, BC, CD,
and DA are its sides. Its angles are ∠A, ∠B, ∠C, and ∠D. The blue sides AB and CD are called
opposite sides, as they lie opposite to each other.
Likewise, AD and BC are the other pair of opposite sides.

 Understanding Squares
A square is similar to a rectangle but with all sides equal in length. Like rectangles, all angles
in a square are also 90°.
When naming a square or rectangle, it’s essential to follow the order of the corners as you
travel around the shape.
For example, Constructing Rectangle sample, in rectangle ABCD, you can also name it BCDA,
CDAB, etc., but not ABDC or ACBD.
Rotated Squares and Rectangles
As stated in the chapter playing with constructions, even when rotated, a square remains a
square, and a rectangle remains a rectangle, as the lengths of the sides and the angles do not
change.