Introduction to Quadrilaterals

Q. A closed figure with four sides, four vertices, four angles is called a _____.

1. triangle
2. quadrilateral
3. pentagon
4. hexagon

Q. A polygon with 5 sides is called a .

1. triangle
2. quadrilateral
3. pentagon
4. hexagon

Q.

There is a football field. It has 4 corner flags which are kept in their positions. A corner flag is shown in the image given below. The quadrilateral representing the field is defined.

1. False

2. True

Q. Can a quadrilateral have 2 diagonals?

Q. Which of the following properties are true for a quadrilateral?

1. 4 sides
2. 4 vertices
3. 4 angles
4. 4 triangles

Q.

The number of diagonals of a polygon of $m$ sides is?

1. $\frac{1}{2!}\left[m\right(m-5\left)\right]$

2. $\frac{1}{2!}\left[m\right(m-1\left)\right]$

3. $\frac{1}{2!}\left[m\right(m-3\left)\right]$

4. $\frac{1}{2!}\left[m\right(m-2\left)\right]$

Q. From the figure, if $\angle$ABC and $\angle$BCD are adjacent angle, then ____ is the common arm.

1. $\overline{AB}$
2. $\overline{CD}$
3. $\overline{AD}$
4. $\overline{BC}$

Q. The expression for the number of diagonals that we can make from one vertex of a n-sided polygon is

Q. In the following figure, identify the points that lie in the interior of the quadrilateral ABCD.

1. Q
2. R
3. E
4. M

Q. What is the measure of the exterior angles of a regular
polygon if the measure of the interior angles is 165°?

A) 25° B) 15° C) 20° D) 10°

Q.

The number of diagonals in a heptagon is

1. 21

2. 42

3. 7

4. 14

Q.

A Quadrilateral has …….vertices and …….diagonals

Q. The shape of the parking area and that of the railway station are dilations of each other. Find the center of the dilation of the following shapes.

1. A
2. B
3. C
4. D

Q. The expression for the number of diagonals that we can make from one vertex of a n-sided polygon is

Q. When two triangles are combined together, we get a .

1. quadrilateral
2. bigger triangle
3. parallel lines

Q. From the following figure, find out the opposite sides of the quadrilateral.

1. $\overline{AB}$ and $\overline{AD}$
2. $\overline{AD}$ and $\overline{BC}$
3. $\overline{AC}$ and $\overline{AB}$
4. $\overline{CD}$ and $\overline{AD}$

Q.

6. Identify the true and false statements:

(iii) Each point on the quadrilateral lies in the interior of the quadrilateral.

1. True
2. False

Q. A house has rectangular yard in front of it for children to play. The length of that rectangle exceeds its width by 6 m and its perimeter is 60 m, find the measurement of the yard.

1. Length = 18m and Breadth = 12m
2. Length = 13m and Breadth = 16m
3. Length = 19m and Breadth = 15m
4. Length = 16m and Breadth = 22m

Q. A polygon with 7 sides and 7 vertices is known as heptagon.

1. False
2. True

Q.

What is a quadrilateral $?$

Q. How many sides Rohan needs to draw to form a quadrilateral?

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

Q.

A unique quadrilateral can be pictured as a combination of 2 triangles, with the diagonal as a base.

1. True

2. False

Q. Draw the figure of □KLMN and shade the quadrilateral region.

Q. In the following figure, is $\angle 1$ adjacent to $\angle 2$? Given reasons.

Q.

In the evening, they went to play table tennis and they realized that the table was made of four boundary lines. They wanted to find the name of the four-sided polygon. What is it called?

1. 4 lines
2. Triangle
3. Quadrilateral
4. Circle

Q. Burst out the polygons.

1. Line
2. Octagon
3. Quadrilateral
4. Triangle
5. Heptagon
6. Pentagon
7. Angles
8. Hexagon

Q. In the adjoining figure, ABCD is a quadrilateral.
(i) How many pairs of adjacent sides are there? Name them.