Constructing a Parallelogram When Its Two Adjacent Sides and One Diagonal Are Given

Q. Which of the following properties are used in the construction of a parallelogram given the measure of two sides and one diagonal?

1. Opposite sides are equal in measure
2. Opposite angles are equal
3. Diagonals of a parallelogram bisect each other
4. Diagonals are equal in measure

Q. The ratio between the number of sides of two regular polygons is 1$:$2. The ratio of the measures of their interior angles is 3$:$4. How many sides are there in each polygon?

1. 7 and 10
2. 5 and 15
3. 5 and 10
4. 10 and 12

Q. Construct the parallelograms EARN with the given measurements and find its area.

ER=10cm, AN=7cm and ∠EOA =110° where ER and AN intersect at O.

$\left[5\right]$

Q. The ratio between the number of sides of two regular polygons is 1$:$2. The ratio of the measures of their interior angles is 3$:$4. How many sides are there in each polygon?

1. 7 and 10
2. 5 and 15
3. 5 and 10
4. 10 and 12

Q.

If the sum of interior angles of a polygon is 6 right angles, then the polygon is a ___.

Q. Minimum number of measurements required to construct a unique parallelogram =

1. 1
2. 2
3. 3
4. 5

Q. The ratio between the number of sides of two regular polygons is 1$:$2. The ratio of the measures of their interior angles is 3$:$4. How many sides are there in each polygon?

1. 7 and 10
2. 5 and 15
3. 10 and 12
4. 5 and 10

Q. The ratio between the number of sides of two regular polygons is 1$:$2. The ratio of the measures of their interior angles is 3$:$4. How many sides are there in each polygon?

1. 5 and 15
2. 10 and 12
3. 5 and 10
4. 7 and 10

Q.

In a regular polygon if the ratio of inner and outer angle is 7:2, then find the number of sides in the polygon.

1. 7

2. 8

3. 9

4. 10

Q. The ratio between the number of sides of two regular polygons is 1$:$2. The ratio of the measures of their interior angles is 3$:$4. How many sides are there in each polygon?

1. 7 and 10
2. 5 and 15
3. 10 and 12
4. 5 and 10