Properties of Parallelogram

Q. All parallelograms are kites.

1. True
2. False

Q. A diagonal of a parallelogram divides the parallelogram into two congruent triangles.

1. False
2. True

Q. In a quadrilateral $ABCD$, $\angle$$A$=$\angle$$C$ and $\angle$$B$=$\angle$$D$. Then, $ABCD$ is a square.

1. True
2. False

Q. $ABCD$ is a quadrilateral, where side $AB$ = $CD$ and side $BC$ = $DA$. Then, we can say that $ABCD$ is a parallelogram.

1. True
2. False

Q. ABCD is a parallelogram, Burst the bubbles which represent the properties of parallelogram ABCD.

1. AB = CD
2. AB = BC
3. Angle A=Angle C
4. Angle C=Angle D
5. AC = BD
6. AB || CD
7. CD || DA
8. BC = AD
9. BC || AD
10. Angle B=Angle D

Q. Match the following according to the properties of a parallelogram.

1. bisect each other
2. are parallel
3. are supplementary

Q.

Area of parallelogram is the product of base and corresponding height.

1. True

2. False

Q.

If the ratio of sides (taken in order) of a quadrilateral is a:b:b:a, then it is a

1. square

2. kite

3. cyclic quadrilateral

4. parallelogram

Q. $\text{The diagonals AC and BD of a}\text{parallelogram ABCD intersect each other}\text{at the point O . If}\angle DAC={35}^{\circ }\text{and}\angle AOB={80}^{\circ },\text{then find the value of}\angle DBC.$

1. ${45}^{\circ }$
2. ${75}^{\circ }$
3. ${35}^{\circ }$
4. ${55}^{\circ }$

Q. A quadrilateral is a parallelogram if a pair of its opposite sides are parallel and congruent.

1. True
2. False