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.
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
