Rectangle Construction Given Diagonals and Angle Between Diagonal & Side

Q.

Which of the following properties are used in the construction of a rectangle given the length of a diagonal and the angle between the diagonals?

1. All angles are equal and measure 90${}^{\circ }$

2. Opposite sides are equal

3. Diagonals of a rectangle bisect each other

4. Diagonals of a rectangle are equal

Q.

Which property is used to construct a rectangle given one diagonal and angle between diagonals?

1. Opposite sides are equal

2. Diagonals are equal
   

3. Diagonals bisect each other
   

4. Both (A) and (B)
   

Q. We can construct a rectangle using its diagonal measurement only.

1. True
2. False

Q. To construct a rectangle ABCD given AC = 6 cm and angle between diagonals is ${30}^{\circ }$, find the property of the rectangle that will be used to construct the rectangle ABCD.
$\left[3Marks\right]$

Q. In the given rectangle PQRS, the length of OQ =

1. 8 cm
2. 4 m
3. 4 cm
4. 2 cm