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At what angle diagonals of a square intersect each other ?

Fill in the blank.

Two squares are congruent if ________.

Two squares are congruent if ________.

Diagonal of a square is \[5\sqrt 2 \] . Length of the side of the square is

\[\left( A \right)\] \[10\]

\[\left( B \right)\] \[5\]

\[\left( C \right)\] \[3\sqrt 2 \]

\[\left( D \right)\] \[2\sqrt 2 \]

\[\left( A \right)\] \[10\]

\[\left( B \right)\] \[5\]

\[\left( C \right)\] \[3\sqrt 2 \]

\[\left( D \right)\] \[2\sqrt 2 \]

State true or false: All squares are not parallelograms.

A. true

B. false

C. ambiguous

D. data insufficient

A. true

B. false

C. ambiguous

D. data insufficient

All squares are congruent.

State whether the above statement is true or false:

a). True

b). False

State whether the above statement is true or false:

a). True

b). False

Find the length of the diagonal of a square of side $12cm.$

Calculate area of the figure made by joining \[25\] unit squares

1. \[22\text{ }c{{m}^{2}}\]

2. \[23\text{ }c{{m}^{2}}\]

3. \[24\text{ }c{{m}^{2}}\]

4. \[25\text{ }c{{m}^{2}}\]

1. \[22\text{ }c{{m}^{2}}\]

2. \[23\text{ }c{{m}^{2}}\]

3. \[24\text{ }c{{m}^{2}}\]

4. \[25\text{ }c{{m}^{2}}\]

Calculate the area of irregular shape, if each square has side length of \[1cm\]. If the area is covering more than half of the square, then consider it as a full square.

(A) Area is approximately \[10sq.cm\]

(B) Area is approximately \[10sq.m\]

(C) Area is approximately \[6sq.cm\]

(D) Area is approximately \[6sq.m\]

(A) Area is approximately \[10sq.cm\]

(B) Area is approximately \[10sq.m\]

(C) Area is approximately \[6sq.cm\]

(D) Area is approximately \[6sq.m\]

In a square \[\square ABCD\], the diagonals bisect each other at point \[O\]. What type of triangle is \[\vartriangle AOB\]?

A.An equilateral triangle

B.An isosceles but not right-angled triangle

C.A right-angled but not an isosceles triangle

D.An isosceles right-angled triangle

A.An equilateral triangle

B.An isosceles but not right-angled triangle

C.A right-angled but not an isosceles triangle

D.An isosceles right-angled triangle

In the adjoining figure, $ABCD$ is a square. A line segment $CX$ cuts $AB$ at $X$ and the diagonal $BD$ at $O$ such that $\angle COD = {80^o}$ and $\angle OXA = {x^o}$. Find the value of $x$.

Which rectangle A, B, C or D fits into the big square without turning?

The diagonals of a square are $ \_\_\_\_\_ $ .

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