Construction of a Square When a Diagonal Is Given.

Q. If side of a square = 4 cm, then the length of its diagonal =

1. 4cm
2. 4$\sqrt{2}$ cm
3. 4$\sqrt{3}$ cm
4. 5cm

Q.

Construct a square, each of whose diagonals measures 5.8 cm.

Q.

Draw a line segment $AB=8cm$. Mark a point $P$ on $AB$ such that $AP=4.5cm$. Draw a ray perpendicular to $AB$ at $P$ by using compasses.

Q.

It is possible to construct a square if only one of its diagonals is given.

1. Yes

2. No

Q.

Draw any line segment $\overline{PQ}$. Mark any point $M$ on it . Through $M$, draw perpendicular to $\overline{PQ}$ (use ruler and compasses).

Q.

If you know that side of a square is 4 cm, you also know:

1. Length of diagonals

2. Length of each side

3. Length of diagonals and the length of each side

4. Only the length of the given side

Q. A square with side given can be constructed by using the property of its diagonals.

1. True
2. False

Q. Construct a square whose diagonal is $6cm$. Measure the side. Find also its area

Q. Construct a square of diagonal $2\sqrt{2}$ cm long and calculate its perimeter in cm.

1. $16$
2. $4$
3. $8$
4. None of these

Q. Construct a square whose diagonal is $5cm$ in length. Then the length of the side of the square is:

1. $4.2cm$
2. $5cm$
3. $3.5cm$
4. $7cm$

Q. What would be the length of side $BC$ in Square $ABCD$ if the diagonal of the square given is $10$ cm?

1. $10$ cm
2. $5$ cm
3. $5\sqrt{2}$ cm
4. $10\sqrt{2}$ cm

Q. If a quadrilateral is constructed with equal diagonals bisecting each other, then it is:

1. square
2. rhombus
3. rectangle
4. trapezium

Q. Using a ruler and set square only. construct the following shapes.

Q. The number of parameters required to construct a square is

1. Two
2. Four
3. One
4. Three

Q. Construct a square of diagonal $2\sqrt{2}$ cm long and calculate its area in sq. cm.

1. $4$
2. $2$
3. $8$
4. None of these

Q.

Can we construct a square if we know the measure of one of its diagonals?

1. Yes

2. No

Q. In an origami class, the diagonal length of a paper plane was measured as given. If the plane was made from the square piece of paper ABDE, find the side length of the square. The side view of the plane is given below:

1. 200 mm
2. 750 mm
3. 500 mm
4. 250 mm

Q. The number of parameters required to construct a square is

1. Two
2. Four
3. One
4. Three

Q. Two line segments, each $9cm$ long, bisect each other at right angles. Their end points are joined together. The shape formed is a:

1. Square
2. Kite
3. Trapezium
4. rhombus

Q. When given a square, the construction of an angle bisector at any vertex will create the diagonal of the square.

1. True
2. False

Q. Construct square $ABCD$ which has diagonal $6cm$.

Q.

Which property of a square do we use to construct a square given its diagonal?

1. Diagonals of a square are equal
   

2. Diagonals of a square bisect each other at right angles
   

3. Both (A) and (B)
   

4. Sides of a square are equal

Q. Construct a square $PQRS$ of diagonal $6.2cm$.

Q. On the portion of the straight line $x+2y=4$ intercepted between the axes, a square is constructed on the side of the away from the origin. Then the point of intersection of its diagonals has co-ordinates.

1. $(2,3)$
2. $(3,2)$
3. $(3,3)$
4. $(2,2)$

Q. The number of parameters required to construct a square is

1. One
2. Two
3. Three
4. Four

Q. Construct a square whose diagonal is equal to $9.8cm$. What is the measure of its side ?

Q. Question 198
Construct a square in which each diagonal is 5 cm long.

Q. The number of parameters required to construct a square is

1. One
2. Four
3. Two
4. Three

Q. If we have to construct a square $PQRS$ whose diagonal is $8\sqrt{2}$ cm then its side is equal to ?

1. $8$ cm
2. $4\sqrt{2}$ cm
3. $4$ cm
4. $8\sqrt{2}$ cm

Q. We cannot construct a square if:

1. a side is given
2. a diagonal is given
3. one angle is ${90}^0$
4. None of these