Lines of Symmetry for Regular Polygons

Q.

Give three examples of shapes with no line of symmetry.

Q.

Trace each figure and draw the lines of symmetry, if any:

Q.

___ triangle is a figure that has a line of symmetry but does not have rotational symmetry.

Q. An isosceles triangle has ___ line(s) of symmetry.

Q. What is the angle of rotational symmetry of a regular hexagon?

1. 80°
2. 45°
3. 60°
4. 90°

Q.

The order of rotational symmetry in a regular Hexagon is 6

1. True

2. False

Q.

Can you draw a triangle which has exactly one line of symmetry? Sketch a rough figure.

Q.

Write the letters of the English alphabet which have no line of symmetry.

Q.

A scalene triangle has __ lines of symmetry.

1. 0

2. 1

3. 2

4. 3

Q.

The image of the point (5, -6) in the x axis is (-5, -6).

1. False

2. True

Q.

All objects have rotational symmetry of order 1.

1. True

2. False

Q. Which of the following is the polygon with least number of sides?

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

Q.

The point A(-6, 5) is reflected over the y-axis. What are the coordinates of the resulting point A′?

1. (6, 5)

2. (6, -5)

3. (-6, 5)

4. (-6, -5)

Q.

An irregular quadrilateral has no lines of symmetry.

1. True

2. False

Q.

Considering the types of triangles on the basis of sides, how many lines of symmetry can a triangle possibly have?

1. 0

2. 1

3. 2

4. 3

Q.

An angle has two lines of symmetry. Say True or False

1. True
2. False

Q. Which image correctly shows the line of symmetry for the figure?

1. 
2. 
3. 
4. 

Q.

A regular polygon has only one line of symmetry. Say true or false.

1. True

2. False

Q.

In a regular hexagon each internal angle measures ${108}^{\circ }$.

1. True

2. False

Q.

In a regular polygon having odd number of sides, all the lines of symmetry are perpendiculars from the vertices to opposite sides.

1. True

2. False

Q. Question 5
Copy the figure given here:
Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that? Will the figure be symmetric about both the diagonals?

Q.

Question 64
State whether the statement is True or False.
An isosceles trapezium has one line of symmetry.

Q.

If a regular polygon has $‘n^{\prime }$ sides, it will have

1. ‘n/2’ lines of symmetry (if it is a regular polygon)

2. ‘n’ lines of symmetry (if it is a regular polygon)

3. ‘n’ lines of symmetry always

4. ‘n/2’ lines of symmetry always

Q. Question 4
The number of lines of symmetry in the figure given below is

a) 1
b) 3
c) 6
d) Infinitely many

Q. The maximum number of lines of symmetry a hexagon can have is ___.

1. 5
2. 6
3. 12
4. 3

Q.

What is the line of symmetry of a semi-circle? Does it have rotational symmetry?

Q.

Letter F has ____ line(s) of symmetry.

Q.

The point V(4, -6) is reflected over the x-axis. What are the coordinates of the resulting point V′?

1. (4, -6)

2. (4, 6)

3. (-4, -6)

4. (-4, 6)

Q. Which of the following type of triangles has the maximum number of lines of symmetry?

1. Equilateral triangle
2. Scalene triangle
3. Isosceles triangle
4. Isosceles right-angled triangle

Q.

A regular hexagon has ______ center of rotation.

1. 3

2. 1

3. 4

4. 2