Opposite Sides and Opposite Angles of a Parallelogram are Congruent

Q.

Can a quadrilateral $\mathrm{ABCD}$ be a parallelogram if $\angle \mathrm{D}+\angle \mathrm{B}=180°?$

Q.

In a quadrilateral, define the adjacent sides.

Q.

Three angles of a quadrilateral are equal. The fourth angle is twice one of the angles.

Find the measure of largest angle.

1. ${72}^{\circ }$

2. ${144}^{\circ }$

3. ${102}^{\circ }$

4. ${70}^{\circ }$

Q.

If one angle of a parallelogram is ${90}^0$ and its adjacent sides are equal, it is a

1. Square

2. Rhombus

3. Rectangle

4. Trapezium

Q.

Given ∆ABC, lines are drawn through A, B, and C, parallel respectively to the sides BC, CA and AB, forming ∆PQR. Then, which of the following is correct.

1. BC= $\frac{3}{2}$ QR
2. BC= $\frac{1}{2}$ QR
3. BC= $\frac{1}{4}$ QR
4. BC= $\frac{5}{2}$ QR

Q.

The shorter side of a parallelogram is $4.8cm$ long and the longer side is one and half times the shorter side. Find the perimeter of the parallelogram.

Q. Find all the angles of a parallelogram if one angle is 80°
$\left[3Marks\right]$

Q.

Opposite angles of a parallelogram are ____ .

1. Supplemantary
2. Complementary
3. Unequal
4. Equal