Diagonals

Q. Question 20
How many diagonals does a hexagon have?
a) 9
b) 8
c) 2
d) 6

Q.

How many diagonals are there in a polygon of 16 sides.

Q.

How many diagonals are there in a octagon ?

Q. Why does n(n-3)/2 always gives the number of diagonals in a polygon with n sides?

Q.

Draw a polygon and shade its interior. Also draw its diagonals, if any.

Q.

A polygon has 27 diagonals. Find the number of sides

Q.

In a quadrilateral, define each of the following:
(i) Sides
(ii) Vertices
(iii) Angles
(iv) Diagonals
(v) Adjacent angles
(vi) Adjacent sides
(vii) Opposite sides
(viii) Opposite angles
(ix) Interior
(x) Exterior

Q.

Name the sides, angles and vertices of the given quadrilateral. Draw the diagonals of the quadrilateral and name them.

Q. An equilateral triangle is made up of ___ congruent line segments.

Q.

If there are 22 sides in a polygon. How many diagonals are there?

Q.

What is meant by the interior of a closed curve?

Q. In the given diagram, ABCD is a rhombus.

What is the value of (x – y)?

1. ${50}^{\circ }$
2. ${30}^{\circ }$
3. ${40}^{\circ }$
4. ${20}^{\circ }$

Q.

Triangle having two sides of equal length is:

1. Equilateral

2. Scalene

3. Isosceles

4. Acute angled

Q. What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)

Q.

How many diagonals are there in an octagon?

Q.

A quadrilateral has _ sides.

Q.

The amount of surface enclosed by a closed figure is called its ___.

Q. Complete the following, so as to make a true statement :

$xiii)$ A quadrilateral is convex if for each side, the remaining lie on the same side of the line containing the side

Q.

Identify exterior diagonals in the figure.

1. BD

2. AC

3. Both BD and AC

4. AB

Q. In the diagram, ABCD is a rhombus. AEC and BED are straight lines. Find the value of $p+q+r+s+t$

1. ${540}^{\circ }$
2. ${360}^{\circ }$
3. ${200}^{\circ }$
4. ${270}^{\circ }$

Q. The interior and boundary of a triangle is called

1. exterior
2. interior
3. triangular region
4. plane

Q. A line segment connecting two opposite vertices (Non-adjacent vertices) of a polygon is called a _____.

1. edge
2. vertices
3. segment
4. diagonal

Q.

In the given figure, diagonals are

1. 

2. 

3. 

4. 

Q. If $a$ and $b$ represent the sides $\overrightarrow{AB}$ and $\overrightarrow{BC}$ OF regular hexagon ABCDEF than $\overrightarrow{FA}$

1. $b-a$
2. $a-b$
3. $a+b$
4. None of these

Q.

Identify exterior diagonals in the figure.

1. None of these

2. AC

3. Both BD and AC

4. BD

Q.

Find the total number of diagonals in a triangle.

1. 1

2. 3

3. 0

4. 2

Q. In the diagram, ABCD is a rhombus. AEC and BED are straight lines. Find the value of $p+q+r+s+t$

1. ${200}^{\circ }$
2. ${270}^{\circ }$
3. ${360}^{\circ }$
4. ${540}^{\circ }$

Q.

Why circle is not considered a polygon if it can be formed by many tiny straight lines?

Q. In a quadrilateral, define each of the following:
(i) Sides
(ii) Vertices
(iii) Angles
(iv) Diagonals
(v) Adjacent angles
(vi) Adjacent sides
(vii) Opposite sides
(viii) Opposite angles
(ix) Interior
(x) Exterior

Q. Which of the following polygon has no diagonal?

1. Pentagon
2. Quadrilateral
3. Heptagon
4. Triangle