Construction of Squares Given its Diagonals

Q.

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

1. With 4 other measurements, Yes

2. No

3. Yes

4. With the measurement of a side, Yes

Q.

What is the minimum number of parameters needed to construct a square?

1. 1

2. 2

3. 3

4. 4

Q. Which property of a square would be used in the construction of a square of diagonal $7cm$?

1. We cannot construct the square if only the length of its diagonal is given.
2. All the sides of a square are equal.
3. The diagonal of a square bisects the angle at the vertex.
4. All four angles of a square are right angles.

Q.

Draw the following:

The square READ with RE = 5.1 cm

Q.

Draw any line $l$ and mark any point $P$ on it. Through this point construct a line perpendicular to $l$ by:

using a ruler and set square

Q. What property of a square is used in the first method (Method 1) of construction of a square?

1. All the sides of a square are equal in length.
2. The diagonals of a square are equal in length.
3. The diagonals of a square bisect each other at right angles.
4. The diagonals of a square bisect the angles of the square.

Q.

The quadrilateral that can be constructed with the minimum number of given measurements is a _______ .

1. Parallelogram

2. Rhombus

3. Square

4. Rectangle

Q. State the following statement is True or False
We cannot construct the square if only diagonal is given

1. True
2. False

Q. Construct a Square $\square ABCD$ .Construct an angle bisector of $\angle A$.The bisector passes through:

1. side CD
2. side AB
3. vertex B
4. vertex C

Q.

The quadrilateral that can be constructed with the minimum number of given measurements is

1. Square

2. Rectangle

3. Parallelogram

4. Rhombus

Q.

Which property of a square is used to construct a square given its diagonal?

1. Diagonals are equal
   

2. Diagonals bisect at right angles
   

3. Both (A) and (B)
   

4. Sides of a square are equal

Q.

Which basic property of a square will you use, if you are asked to draw a square with diagonal measuring 5 cm?

1. The angle between a side and a diagonal of a square is ${45}^{\circ }$

2. We cannot draw a square if only the length of diagonal is given.

3. All the sides of a square are equal.

4. All 4 angles of a square are right angles.