# Parallelogram and Its Properties

## Trending Questions

**Q.**A parallelogram whose all sides are equal and all angles are equal to 90∘ is a

- rectangle
- square
- kite
- rhombus

**Q.**

To construct a parallelogram, a minimum of how many measurements need to be provided?

2

3

4

1

**Q.**In the given figure, ABCD is a rhombus, then the value of 'x' (in degrees) is

- 30

**Q.**

The adjacent angles in a parallelogram are ______ .

complementary

equal

not equal

supplementary

**Q.**

Area of a triangle with the same base and height as a parallelogram is ____ the area of the parallelogram.

twice

half

equal

thrice

**Q.**The adjacent figure PQRS is a trapezium in which SP∥RQ, find the measures of ∠P and ∠R. [2 MARKS]

**Q.**

What is the measure of any exterior angle of a regular nonagon?

40∘

100∘

140∘

90∘

**Q.**The sides of a rectangle are in the ratio of 6:5 and its area is 750 sq m. Find perimeter of the rectangle (in m).

- 110

**Q.**

In the given figure , ABCD is a parallelogram. DL is perpendicular to AB and AB =AD =13 cm. If the area of the parallelogram is 156cm^{2}, then find the length of AL in cm.

**Q.**

A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m2

**Q.**

If ABCD is a parallelogram and BEFC is a square which of the following is true?

True

False

∠ABE=∠DCF

EF=AD

**Q.**If one of the angles of a parallelogram is 100°, then the other non-adjacent angle is

- 180°
- 100°
- 80°

**Q.**

Given 2 unequal sides and one angle of a parallelogram, how many such parallelograms are possible? [2 MARKS]

**Q.**In the trapezium ABCD shown below, if ∠ADC=120∘, then find the measure (in degrees) of ∠DCB.

- 60

**Q.**

**Question 163**

Find the value of x in the trapezium ABCD given below

**Q.**In the following figure ABCD is a trapezium in which AB∥DC. Find the measure of ∠C. [2 MARKS]

**Q.**

Explain how this figure is a trapezium. Which of its two sides are parallel?

**Q.**

**Question 90**

Fill in the blanks to make the statements true.

Fill in the blanks to make the statements true.

In trapezium ABCD with AB∥CD, if ∠A=100∘, then ∠D=

**Q.**Which of the following is not true about parallelogram.

- Opposite angles are equal.
- Opposite sides are parallel.
- Adjacent sides are equal.
- Adjacent angles are supplementary.

**Q.**

What type of triangles is this ? Also, say whether they are regular or irregular polygons.

**Q.**In the trapezium ABCD shown below, if ∠ADC=120∘, then find the measure (in degrees) of ∠DCB.

- 60

**Q.**

What is the measure of any exterior angle of a regular nonagon?

100∘

140∘

40∘

90∘

**Q.**In parallelogram ABCD, if the bisector of adjacent angles A and D intersect each other at point P, then the value of ∠APD = 60^{\circ}\). State with true or false.

- True
- False

**Q.**In the following figure ABCD is a trapezium in which AB∥DC. Find the measure of ∠C.

**Q.**In the figure, ABCD and AEFG are parallelograms. If ∠C=55∘, what is the measure of ∠E?

- 55∘
- 125∘
- 155∘
- 35∘

**Q.**

State that given figure is a polygon or not ? if yes, Name them.

**Q.**

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

**Q.**

There is a park with two triangular jogging tracks. Rahul and his friend Arjun are jogging. The park has a route map which mentioned that the sides of jogging tracks with the same color have the same length and nothing is mentioned about different colored sides.

Which of the following is true?

black track = green track

red track = green track

black track = red track

blue track = green track

**Q.**

Find the angle x from the figure if ABCD is a parallelogram in which ∠DCB and ∠ABC are in ratio 2:7.

**Q.**

A parallelogram has two diagonals HF and EG. Choose the statement which is not correct for the parallelogram.

HE = GF