
Copy the figure with punched holes and find the axes of symmetry for the following.
Answer
589.8k+ views
Hint: First, we should know what is called axes of symmetry which is stated as a line passing through any shape such that each side of the shape is the mirror image of another side. That line is called the Line of symmetry. Here, we have the shape of a circle, so we know that there are infinite lines passing through the circle which can divide the circle in equal parts. So, using this concept we will draw a line in given figure.
Complete step-by-step answer:
Now, with the help of diagrams we will easily understand what is called line of symmetry using supposed triangle shape.
Here, we are to find the line of symmetry we have drawn in the line in the middle which divides the shape in exact two parts. So, the vertical line which can be seen in the above figure is the line of symmetry.
Similarly, we will draw the line which passes between the holes and divides the shape in to two parts. So, the line will be
Here, we can see that the distance circle is divided into exactly 4 parts. Also, we divided in such a way that the line is passing through the center of the circle which we know as diameter of circle. Further also, we can divide circle in equal parts i.e.
Here, both the slanting line is drawn in such a way that the circle is equally divided into 8 parts with proper symmetry.
Thus, the dotted line drawn is the line of symmetry of the given figure.
Note: Here, we know that many lines pass through a circle which divides the shape in 2 parts. But sometimes, students draw many lines which will be the exact line of symmetry but forget to draw the lines from the punched holes. So, in that some of lines are missed and that is where answer goes wrong.
So, here vertical and horizontal lines are missing which should be drawn. So, do not make this mistake.
Complete step-by-step answer:
Now, with the help of diagrams we will easily understand what is called line of symmetry using supposed triangle shape.
Here, we are to find the line of symmetry we have drawn in the line in the middle which divides the shape in exact two parts. So, the vertical line which can be seen in the above figure is the line of symmetry.
Similarly, we will draw the line which passes between the holes and divides the shape in to two parts. So, the line will be
Here, we can see that the distance circle is divided into exactly 4 parts. Also, we divided in such a way that the line is passing through the center of the circle which we know as diameter of circle. Further also, we can divide circle in equal parts i.e.
Here, both the slanting line is drawn in such a way that the circle is equally divided into 8 parts with proper symmetry.
Thus, the dotted line drawn is the line of symmetry of the given figure.
Note: Here, we know that many lines pass through a circle which divides the shape in 2 parts. But sometimes, students draw many lines which will be the exact line of symmetry but forget to draw the lines from the punched holes. So, in that some of lines are missed and that is where answer goes wrong.
So, here vertical and horizontal lines are missing which should be drawn. So, do not make this mistake.
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