HARD
Earn 100

Prove that each of the angles of a square is a right angle and each of the four sides is of same length.

Important Questions on Type of Quadrilateral

EASY
The side of a square is a cm. The ratio of its diagonal to its base is:
MEDIUM

In the given figure, ABCD is a square. Find the measure of CAD.

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HARD
If the figures shown in Fig. 11.25(a) and (b) are squares, find x.
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MEDIUM

Look at the below rectangle and find how many squares are there in each row? (Horizontal and vertical lines are 1 centimetre apart)

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(If the answer is X squares, then write X in the given box.)

MEDIUM
What is the other name for a rhombus in which all the angles are right angles?
EASY

How many squares are there in the below figure?

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(If the answer is X squares, then write X in the given box.)

EASY
Name a quadrilateral whose sides, angles and diagonals are equal.
MEDIUM
Give reasons for the following:
A square can be thought of as a special rectangle.
 
MEDIUM
In a square PQRS, if PQ=(2x+3) cm and QR=(3x-5) cm, then
EASY

In a rectangle having 5 matchsticks long and 3 matchsticks wide, what is the total number of squares?

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(If the answer is X squares, then write X in the given box.)

EASY

In a rectangle having 5 matchsticks long and 3 matchsticks wide, how many rows of squares can we make?

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(If the answer is X rows, then write X in the given box.)

MEDIUM
Observe the regions marked 1-7 in the figure given alongside. Find out how many regions fall exactly in two shapes.
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EASY
If the length of a diagonal AC of a square ABCD is 5.2 cm, then the area of the square ABCD is?
HARD
In the given figure, the sides PQ and QR of a square PQRS are produced to L and M, respectively so that QL=RM. Show that PQM and SPL are congruent.
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EASY
In a square ABCD, AB=(2x+3) cm and BC=(3x-5) cm. Then, the value of x is
EASY

In a rectangle having 5 matchsticks long and 3 matchsticks wide, how many squares in one row?

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(If the answer is X squares, then write X in the given box.)

HARD
While constructing a square, what are the minimum number of perpendiculars you will construct?
MEDIUM
The perimeter of a square is 20 cm. A rectangle has the same width as a square. The length of the rectangle is double its width. The area, in square cm, of the rectangle, is _____
EASY
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?