Construction of a Rectangle When Two Adjacent Sides Are Given.

Q.

Construct a rectangle ABCD whose adjacent sides are 11 cm and 8.5 cm.

Q.

What property of a rectangle do we use if we need to construct a rectangle whose adjacent sides are given?

1. Diagonals are equal.

2. Diagonals bisect each other.

3. Each angle of a rectangle is ${90}^{\circ }.$

4. Diagonals bisect each other at ${90}^{\circ }.$

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.

Q. Choose the correct order for the construction of the rectangle ABCD with AB = 6 cm and BC = 4 cm.

1. Construct a perpendicular AE to AB at A such that AE is greater than 4 cm.
2. With D as centre and radius 6 cm, draw an arc.
3. With A as centre and radius 4 cm draw an arc so as to cut AE at D.
4. Draw a line segment AB = 6cm.
5. With B as centre and radius 4 cm, draw another arc so as to intersect previous arc at C.
6. Join DC and BC. Then ABCD is the required rectangle

1. 4, 1, 3, 5, 6, 2
2. 4, 1, 2, 5, 6, 3
3. 4, 3, 1, 2, 5, 6
4. 4, 1, 3, 2, 5, 6

Q.

Construct rectangles ABCD with following data

AB=6cm, CD=4cm

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.

Q. A rectangle can be constructed if we know the length of one pair of opposite sides.

1. True
2. False

Q. What property of a rectangle do we use if we need to construct a rectangle whose adjacent sides are given?

Q. Given that one side of a rectangle is 8 cm , a unique rectangle can be constructed.

1. False
2. True

Q. Which property of a rectangle do we use to construct a rectangle ABCD with each diagonal AC= 6.2 cm and one of the sides 4.8 cm.

1. Diagonals bisect each other.
2. Both (A) and (B)
3. Opposite sides are equal.
4. Each angle of a rectangle is ${90}^{\circ }$.