Construction of Rhombus

Q.

If two equilateral triangles are drawn such that they have a common side, then the quadrilateral formed is a __

Q.

If I join 2 equilateral triangles along a side, what quadrilteral do I get?

1. Rhombus

2. Square

3. Rectangle

4. None of these

Q.

While constructing a perpendicular bisector, the arcs must be drawn with radious greater than half the length of the line segment.

1. Similar triangles

2. Congruent triangles

Q.

Which single geometric instrument is necessary to fulfill the same function of angle bisector construction?

__

Q. Construct a rhombus when one side=6 cm and angle A=60°

Q.

Construct rhombus ABCD with sides of length 5 cm and diagonal AC of length 6 cm. Find the point R on CD such that RA = RB. Then the length of CR is

1. 0.5 cm

2. 1 cm

3. 1.5 cm

4. 2 cm

Q. In a parallelogram diagonals each other.

1. trisect
2. bisect
3. Perpendicular to

Q. Using ruler and compass only construct a parallelogram of AB 6 cm AD 3 cm angle DAB is 45. If the bisector of angle DAB meets meets DC at P. Prove that angle APB is a right angle.

Q.

With which of the following given measurements, a unique kite named EASY can be formed?

1. 1

2. 2

3. 3

4. 4

Q. 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. Square
2. Rectangle
3. Trapezium
4. Rhombus

Q.

Diagonals of a rhombus

1. are equal

2. bisect each other

3. intersect at right angles

4. bisect each other at right angles

Q. Draw a pair of vertically opposite angles. Bisect each of the two angles. Verify that the bisecting rays are in the same line.

Q. 4 In a rhombus ABCD, angleA=70^° . Find angleCDB

Q. How is congruence related to constructions

Q.

Is it possible to construct a rhombus AJUN with AU = 24 cm and JN = 10 cm? If yes, what is the length of the side of the rhombus?

1. Yes, 11 cm

2. Yes 12 cm

3. Yes 13 cm

4. No, it is not possible

Q.

A parallelogram in which all sides are equal is a ______.

1. Sqaure

2. Rhombus

3. Trapezium

4. Rectangle

Q. In the figure given below, all the four sides are equal. The construction of which figure is shown in the diagram?

1. Kite
2. Trapezium
3. Rhombus
4. Rectangle