Elements of a Parallelogram

Q.

Find the measure of $\angle P$ and $\angle S$ if $SP||RQ$ in given figure.

1. 60°
2. 50°
3. 80°
4. 70°

Q. In the given figure, ABCD is a parallelogram. If $\angle A={75}^{\circ }$, then $\angle B$ is

1. ${75}^{\circ }$
2. ${105}^{\circ }$
3. ${100}^{\circ }$
4. ${90}^{\circ }$

Q.

Find the angle x from the figure if ABCD is a parallelogram in which $\angle A:\angle B=1:4$. Also, $\Delta$DEF is an isosceles triangle with DE = DF.

1. 36°

2. 54°

3. 18°

4. 44°

Q.

The ratio of two sides of a parallelogram is as 3:5, and its perimeter is 48 m, then the sides of the parallelogram are

1. 32m and 34m
2. 9m and 15m
3. 15m and 35m
4. 9m and 45m

Q.

In parallelogram ABCD, which of the 2 sides are equal?

1. AB & AD

2. AB & BC

3. CD & BC

4. AB & CD

Q. In the given figure, ABCD is a special quadrilateral in which the sum of its opposite internal angles is ${180}^{\circ }$.
What is the value of $\angle FDC$, given $\angle CBE={130}^{\circ }$?

1. ${30}^{\circ }$
2. ${50}^{\circ }$
3. ${75}^{\circ }$
4. ${130}^{\circ }$

Q. If two lines are parallel, then the alternate interior angles are equal.

1. True
2. False

Q. If two lines are cut by a transversal and the alternate interior angles are equal, then it is not necessary that the lines are parallel.

1. True
2. False

Q. If m and n are two parallel lines cut by the traversal t, then, $\angle 3+\angle 6=180°$

1. True
2. False

Q. ABCD is a parallelogram with AC and BD as diagonals, intersecting each other at O. If BD=6 cm, then BO=cm

1. 4 cm
2. 3 cm
3. 5 cm