Constructing the Line of Symmetry When Two Fixed Points Are Symmetric with Respect to the Required Line.

Q. An equilateral triangle has lines of symmetry.

1. 1
2. 2
3. 3

Q. An arrow-head has line(s) of symmetry.

1. 1
2. 2
3. 3

Q. An is the line of symmetry of an angle.

1. bisector
2. angle
3. arms

Q.

How many lines of symmetry are possible for this starfish assuming it is two-dimensional? Draw a similar image showing lines of symmetry. [4 MARKS]

Q.

What is the angle between the mirror line 'l' and the line segment joining a point and its reflection?

1. $0^{\circ }$

2. ${45}^{\circ }$

3. ${60}^{\circ }$

4. ${90}^{\circ }$

Q.

Draw AB of length 6.8 cm and find its axis of symmetry. [4 MARKS]

Q. Can you draw a triangle having:

(i) exactly one line of symmetry.
(ii) exactly two lines of symmetry.
(iii) three lines of symmetry.
(iv) no line of symmetry.

Q. Rectangle has only one line of symmetry.

1. False
2. True

Q.

How many lines of symmetry are possible for the following figure?

Given that all stars in the rectangle are at equal distance from a vertical line drawn through the center of longer side of the rectangle.

1. 1

2. 2

3. 3

4. 4

Q.

Draw of length 7.3 cm and find its axis of symmetry.

Q.

Which of the following is required for constructing the line of symmetry when two fixed points are symmetric with respect to the required line?

1. Angle bisector of the given line

2. Perpendicular bisector of the given line

3. Any point below the given line

4. Any point above the given line

Q.

While reading about symmetry, Sonali came across that the letters X, V and M. She figures these figures have point symmetry. Predict whether what she inferred was true or false.

1. True
2. False

Q. The line of symmetry of a circle can otherwise be called as the of the circle.

1. diameter
2. radius
3. chord

Q.

Sonali and her friends made another question to ask their classmates that which of the figures exhibited symmetry about the line XY. Can you answer this question?

1. 

2. 

3. 

4. 

Q.

Find the number of lines of symmetry in the figure shown .

1. One

2. Two

3. Three

4. Four

Q. A ________ has only one line of symmetry, two sets of equal sides and only one set of matching angles.

Q. The angle between the mirrors determine the number of lines
of symmetry.

1. True
2. False

Q.

Question 4(a)

Copy the following on a square paper. A square paper is what you would have used in your arithmetic notebook in earlier classes. Then complete them such that the dotted line is the line of symmetry.

Q. Rectangle has only one line of symmetry.

1. False
2. True

Q. Mark two points A and B at a distance of 8 cm. Draw a line PQ so that A and B symmetric with respect to the line PQ.

Q. Which among the following has the highest line of symmetry?

1. Circle
2. Square
3. Triangle
4. Rectangle

Q. If an angle of measure ${80}^o$ is reflected in a line of symmetry, then the reflection is a _____ of measure ______ .

Q. On squared paper copy the triangle in each of the following figures. In each case draw the line(s) of symmetry if any and identify the type of the triangle.

Q. Which among the following has the highest line of symmetry?

1. Square
2. Triangle
3. Rectangle
4. Circle