Use Properties of Parallelograms:
A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Q.1. What is parallelogram?
Ans: The quadrilateral which opposite sides are equal and parallel is called a parallelogram.
Q.2. Formula to determine the area of a parallelogram.
Ans: Area = base x height
Q.3. What is the sum of 4 angles of a quadrilateral?
Ans: 360 degree
Q.4. Opposite sides of a quadrilateral are equal and parallel but angles are not right angle. It is called?
Ans: Parallelogram
Q.5. Where diagonals of a parallelogram bisect each other?
Ans: At intersecting point
Q.6. We measure angle in which unit?
Ans: Degree unit
There are four interior angles in a parallelogram and the sum of the interior angles of a parallelogram is always 360°. The opposite angles of a parallelogram are equal and the consecutive angles of a parallelogram are supplementary.
The amount of turn between two lines that meet each other.
The term "parallelogram PQRS" can be written as PQRS. In PQRS, PQII RS and QR II PS by definition. The theorems below describe other properties of parallelograms.
Parallelogram:
There are two pairs of parallel sides.
The opposite sides are equal in length.
Opposite angles are equal.
There are four interior angles in a parallelogram and the sum of the interior angles of a parallelogram is always 360°. The opposite angles of a parallelogram are equal and the consecutive angles of a parallelogram are supplementary.
Geometry Angles
Q. The figure shows a parallelogram ABCD where BAD = 64. E lies on AB such as ADE = 49.
Calculate
i) ABC
ii) CDE
Solution:
2 pairs of parallel sides
Opposite sides are equal in length
Opposite angles are equal
Diagonals bisect each other
AE = DC, AD = BC
i) ABC + 64 = 180
ABC = 180 - 64
= 116 Ans.
ii) ADC = 116
CDE + 49 = 116
CDE = 116 - 49
= 67 Ans.
Angles in a Parallelogram:
There are 2 pairs of parallel sides.
Opposite sides are equal in length
Opposite angles are equal
i.e. ABC = ABC
BAD = BCD
DIAGONALS BISECT EACH OTHER
AE = DC
AD = BC
Q.1. The figure shows a parallelogram ABCD where BAD = 64.
E lies on AB such that ADE = 49.
CALCULATE
i) ABC
ii) CDE
Solution:
I) ABC + 64 = 180 (int. AD//BC )
ABC = 180 - 64
= 116
ii) ADC = 116 ( opp. )
CDE + 49 = 116
CDE = 116 - 49
= 67
