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E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_07
\ 12-Sep-2024 Surender Prajapati Proof-5 Reader’s Sign _______________________ Date __________
Square Circle
ABCD is a square. A circle is a closed plane figure.
It also has 4 sides: A D It is made up of only one
AB, 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 point inside the
Each side of a circle is called the centre of the
square is equal in length. circle.
Here, AB = BC = CD = DA. From the centre every point lying on
the circle is at equal distance.
Note
Quick Check A square is a rectangle but a rectangle is not a
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 the breadth of a square are equal,
i.e., 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, the diagonal is a line segment that joins two vertices of a shape B C
that 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
Read the instructions given below and join the dots to make the figures.
A square joining only 8 dots and colour it yellow.
A rectangle joining only 10 dots and colour it red.
A triangle joining only 9 dots and colour it blue.
1. Now, try to draw the diagonals in each of the above figures.
2. In which figure are you unable to get the diagonal?
Mathematics-3 125

