# Construction of Square

## Trending Questions

**Q.**Ajay is constructing a square PQRS with PQ = 5 cm. The steps of construction are as follows.

(i) Draw a line segment PQ of length 5 cm. Construct 90° at the points P and Q. Extend the rays from P and Q.

(ii) Draw arcs of radius 5 cm keeping P and Q as centre on the extended rays.

(iii) Mark the intersecting points to be S and R.

Which of the following figure represents the completion of the construction of above mentioned steps?

**Q.**Construct a square ABCD, each of whose diagonals is 5.2 cm.

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

**Q.**

**Question 94**

**Solve the following question:**

Can a right-angled triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.

**Q.**

Is it possible to construct a square if only one of its diagonal is given?

With 4 other measurement, Yes

With measurement of a side, Yes

Yes

No

**Q.**Construct a square of diagonal AC =6.2 cm.

**Q.**

**Question 1**

Construct the square READ with RE = 5.1 cm.

**Q.**Ajay is constructing a square PQRS with PQ = 5 cm. The steps of construction are as follows.

(i) Draw a line segment PQ of length 5 cm. Construct 90° at the points P and Q. Extend the rays from P and Q.

(ii) Draw arcs of radius 5 cm keeping P and Q as centre on the extended rays.

(iii) Mark the intersecting points to be S and R.

Which of the following figure represents the completion of the construction of above mentioned steps?

**Q.**Construct a parallelogram ABCD, when: Diagonal AC = 6.4 cm, diagonal BD = 8.2 cm and angle between the diagonals = 60∘

Step 1: Draw AC = 6.4 cm. Locate its midpoint as O

Identify the next step

- Draw a line BOD such that ∠DOC = 60∘ and OD = OB =½ BD = 4.1cm.
- Draw a line COD such that ∠DOB =60∘ and OD = OB =½ BD = 4.1cm.
- Draw a line BOD such that ∠DOC = 60∘ and OD = 3.5 cm and OB= 4.7cm.

- None of these

**Q.**Lal is constructing a rectangle PQRS. The length of the diagonal is 6cm and the length of the sides are 3cm and 4cm. Is the construction of the rectangle PQRS possible?

- Yes
- No
- Yes, if the diagonal measures 5 cm.
- Even, the changes in the length of the diagonal is not sufficient.

**Q.**

**Question 190**

Construct a square of side 4 cm.

**Q.**To construct a square of diagonal AC =6.2 cm which of the following properties of a square do we use?

- Diagonals bisect each other at 90∘.
- Diagonals are equal.
- Both (A) and (C)
- All sides are equal.

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

- One
- Two
- Three
- Four

**Q.**Which properties of a square are different from properties of a parallelogram?

- Diagonals are equal in length.
- Diagonals bisect each other at 90o.
- The opposite sides are equal in length.
- The opposite sides are parallel.

**Q.**The number of variables required for the construction of a rectangle is ___.

**Q.**The number of variables required to construct a square is

- one
- five
- three
- two

**Q.**A square cannot be constructed given only a diagonal of length 3 cm.

- True
- False

**Q.**To construct a square of diagonal AC =6.2 cm which of the following properties of a square do we use?

- All sides are equal.
- Both (A) and (C)
- Diagonals are equal.
- Diagonals bisect each other at 90∘.

**Q.**

A rectangle WXYZ can be constructed if the length of

WX and ZY are given

XY is given

YZ is given

WX and WZ are given

**Q.**Arun is constructing a rectangle REMO where RE = 4 cm and RM = 5 cm. The steps for the construction is as follows:

(1) Draw a line segment RE of length 4 cm.

(2) Construct 90° at the points R and E. Extend the lines.

(3) Keeping R as the centre and a radius of 5cm, construct an arc cutting on the line generated from the point E.

(4) Mark the intersecting point to be M.

What is the next step?

- Measure the length of the side EM for the construction of the side RO.
- Join O and M. The rectangle REMO is hence constructed.
- None of the above.
- Keeping R as the centre, cut an arc of radius 3 cm on the generated from the point R.

**Q.**All squares are ______ but all _______ are not squares.

Which of the followings can fill the blank.

- Rectangle
- Parallelogram
- Trapezoid
- Rhombus

**Q.**

To construct a square only one length needs to be given.

True

False

**Q.**Lal is constructing a rectangle PQRS. The length of the diagonal is 6cm and the length of the sides are 3cm and 4cm. Is the construction of the rectangle PQRS possible?

- Yes, if the diagonal measures 5 cm.
- Even, the changes in the length of the diagonal is not sufficient.
- No
- Yes

**Q.**

Suppose you are asked to construct a square having side length 'a' units. This information is enough to construct a square.

Draw line segment

Draw arc

**Q.**69. Draw a square whose sides are represented by x=4, x=-4, y=4, y=-4 and find its area

**Q.**

**Question 198**

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

**Q.**

A rectangle WXYZ can be constructed if the length of

XY is given

YZ is given

WX and WZ are given

WX and ZY are given

**Q.**Draw a square WXYZ with side 5.2 cm.

**Q.**

Is it possible to construct a square if only one of its diagonals is given?

Yes

No

With 4 other measurements, Yes

With measurement of a side, Yes

**Q.**If we know that one side of a square is 6 cm, then we also know the length its diagonals and length of each side of the square.

- True
- False