Rhombus

Q.

In ΔABC, AB = AC and the bisector of ∠B and ∠C meet at a point O, then ΔOBC is

1. Scalene triangle

2. Eequilateral triangle

3. Isosceles triangle

4. Congruent to ΔABC

Q. Which of the following is not the property of a rhombus?

1. Diagonals bisect each other
2. All sides are equal
3. Opposite angles are equal
4. Diagonals are equal

Q. If adjacent sides of a parallelogram are equal, then it is a .

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

Q. If the lengths of diagonals of a rhombus are 8 cm and 6 cm then length of its side is 5 cm.

1. False
2. True

Q. If the diagonals of a quadrilateral intersect perpendicularly then the quadrilateral is square.

1. False
2. True

Q. All squares are rhombuses.

1. True
2. False

Q. $\text{Two adjacent angles of rhombus are}3x-{40}^{\circ }\text{and}2x+{20}^{\circ }.\text{Find the}\text{measurement of the greater angle.}$

1. ${160}^{\circ }$
2. ${100}^{\circ }$
3. ${80}^{\circ }$
4. ${120}^{\circ }$

Q. $\text{If ABCD is a rhombus, AC is its}\text{smaller diagonal and}\angle ABC={60}^{\circ },\text{then find the length of a side of the}\text{rhombus when}AC=7cm.$

1. 6 cm
2. 7.5 cm
3. 6.5 cm
4. 7 cm

Q. The perimeter of a rhombus is 100cm. Find one of it's sides.

1. 100 cm
2. 50 cm
3. 75 cm
4. 25 cm

Q.

ABCD is rhombus with ∠ABC = 30°. The measure of ∠ACD is:

1. ${60}^{\circ }$

2. ${75}^{\circ }$

3. ${120}^{\circ }$

4. ${150}^{\circ }$