Page 127 - Math Genius C3
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\ 01-Oct-2025 Bharat Arora Proof-10 Reader’s Sign _______________________ Date __________
Square Circle
ABCD is a square. A circle is a closed plane figure.
It has 4 sides: AB, A D It is made up of only one
BC, CD and DA. Side curved line. O
It has 4 vertices: Vertex It has no vertex or side.
A, B, C and D. B C O, the fixed point inside the circle is
All sides of a square called the centre of the circle.
are equal in length. From the centre every point lying on
Here, AB = BC = CD = DA. the circle is at equal distance.
Be Aware
A square is a rectangle but a rectangle is not a
Fast Check
square.
Name any 3 objects, which are The longer side of the rectangle is called the length
circular in shape around you. and the shorter side is called the breadth.
_____, ______, ______. The length and breadth of a square are equal, that
is, the sides of a square are equal.
diaGonals
Look at the given rectangle. Its vertices, A and C are joined with a dotted A D
line. Similarly, vertices B and D are also joined with a dotted line. Line
segments AC and BD are the diagonals of rectangle ABCD.
Thus, a diagonal is a line segment that joins two vertices of a shape that B C
are not next to each other.
A D P S
B Rectangle C Q Square R
The diagonals AC and BD of a The diagonals PR and QS of a square
rectangle are equal in length. are equal in length.
activity Experiential Learning
Read the instructions and join the dots to make the figures.
Join 8 dots to make a square and colour it yellow.
Join 10 dots to make a rectangle and colour it red.
Join 9 dots to make a triangle and colour it blue.
1. Now, draw the diagonals in each shape.
2. In which figure are you unable to draw the diagonal?
Mathematics-3 125

