Observing Quadrilaterals in Intersecting Circles

Q.

Draw a circle with center O with radius $7cm$. Draw any one of the diameters AB. With same center O, draw another circle with radius $4cm$. Draw any one of the diameters CD for this circle too. If you join the ends of both the diameters, the figure you will get is:

1. Parallelogram

2. Rectangle

3. Square

4. Trapezium

Q.

Draw a circle with center A with radius $5cm$. Draw any one of the diameters. With same center A, draw another circle with radius $3cm$. Draw any one of the diameters for this circle too. If you join the ends of both the diameters, the figure you will get is:

1. Parallelogram

2. Rectangle

3. Square

4. Trapezium

Q.

Two circle each of radius 4 cm is constructed in such a way that centre of each touches the circumference of other as shown in figure.
$\text{The polygon}A{C}_{1}B{C}_2\text{is a}$_______.

1. rhombus of side 4 cm
2. square of side 4 cm
3. rectangle of side 4 cm
4. trapezium of side 4 cm

Q.

In a given circle, the diameter AD, CF and BE are drawn in such a way that they make ${60}^{\circ }$ with each other as shown. Which all figures can be drawn from points ABCDEF

1. Star
2. Equilateral Triangle
3. Hexagon
4. Parallelogram

Q.

Draw 2 concentric circles and draw the diameter of each circle such that both the diameters have only one point of intersection. Join all the end points of the diameters. What is the resultant figure?

1. Parallelogram or Rhombus

2. Parallelogram or Square

3. Square or Rectangle

4. Trapezium or rectangle

Q.

Which property of a rhombus do we use to construct a rhombus given its two diagonals?

1. Sides of a rhombus are equal
   

2. Opposite angles are equal
   

3. Diagonals bisect each other
   

4. Diagonals bisect each other at right angle

Q. Write the names of the pairs of congruent quadrilaterals shown below.

Q. If ABCDEF is a regular hexagon and OA = 7 cm, then what is the length of BC?

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

Q. Which property of the rhombus is used in its construction if the length of two diagonals are given?

1. All sides of a rhombus are equal.
2. In a rhombus, diagonals bisect each other at right angles.
3. Opposite angles of a rhombus are equal.
4. Diagonals bisect the angles of a rhombus.

Q.

Which property of a rhombus do we use to construct a rhombus given one side and a diagonal?

1. Diagonals bisect each other at right angles
   

2. Sides of a rhombus are equal
   

3. Diagonals of a rhombus are not equal

4. Diagonals bisect each other
   

Q.

A circle C is inscribed in the quadrilateral ABCD. The quadrilateral ABCD can possibly be a

1. Parallelogram

2. Trapezium

3. Rectangle

4. Rhombus

Q.

In a quadrilateral ABCD, if DC = 7.3 cm, one of the angles is ${60}^{\circ }$ and the diagonals bisect each other at ${90}^{\circ }$, then which of the following figures can be constructed ?

1. rectangle

2. square

3. trapezium

4. rhombus