If Diagonal Bisects an Angle of a Parallelogram, Then It Is a Rhombus

Q.

Diagonals of a rhombus are ________ to each other.

1. Not equal

2. Equal

3. Parallel

4. Perpendicular

Q.

Adjacent sides of a parallelogram are equal and one of diagonals is equal to any one of the sides of this parallelogram. Show that its diagonals are in the ratio $\sqrt{3}:1$.

Q. Question 74
Fill in the blanks to make the statements true.​​​​​​​
In a rhombus, diagonals intersect at ___ angles.

Q. If one diagonal of a rhombus is equal to its side, then what is the smallest angle of rhombus?

1. 90 degrees
2. 60 degrees
3. 45 degrees
4. 72 degrees

Q.

The quadrilateral formed by joining the midpoints of the pairs of adjacent sides of a rectangle is a

1. Rhombus

2. Rectangle

3. Square

4. Trapezium

Q. If ∠1 = ∠3 and ∠2 = ∠4 and AB = BC, then the given quadrilateral is a ____________ .

1. rhombus
2. trapezium
3. parallelogram
4. rectangle

Q. The sum of opposite angles of a rhombus is _____.

1. 90 degrees
2. 180 degrees
3. 360 degrees
4. not fixed

Q. A quadrilateral with all four sides equal, each angle not equal to 90° is , and diagonals of such a quadrilateral intersect at
.

1. rhombus
2. 45°
3. kite
4. 90°

Q.

The quadrilateral formed by joining the midpoints of the pairs of adjacent sides of a rectangle is a

1. Trapezium

2. Rectangle

3. Square

4. Rhombus

Q. ABCD is a rhombus. Choose the pairs which are equal in magnitude.

1. MB
2. $\angle CDB$
3. $\angle AMD$
4. AM
5. $\angle ABD$
6. 90°
7. DM
8. CM

Q. Diagonals of a rhombus are to each other.

1. equal
2. perpendicular
3. parallel

Q. If the diagonal of a quadrilateral bisects the opposite angles as shown, then the given quadrilateral is a _______.

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

Q. Diagonals of a rhombus are to each other.

1. equal
2. perpendicular
3. parallel