The number if lines of symmetry in a picture of Taj Mahal is
(a) 1
(b) 2
(c) 0
(d) 3
Answer
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Hint: In order to solve this problem, we need to understand the meaning to lines of symmetry. A line of symmetry is a line that cuts a shape into half. This means that if we were to fold the shape along the line, both halves would match exactly. Equally, if we were to place a mirror along the line, the shape would remain unchanged.
Complete step-by-step answer:
Let’s first understand by lines of symmetry.
A line of symmetry is a line that cuts a shape into half. This means that if we were to fold the shape along the line, both halves would match exactly. Equally, if we were to place a mirror along the line, the shape would remain unchanged.
We can demonstrate this with a simple example of a square.
As we can see that in the square there are four lines of symmetry. That means if we place a mirror on any one of the lines we will get the exact replica of the other half.
Now, we have been asked to find the lines of symmetry in the image of Taj Mahal.
The above image shows the Taj Mahal. In this we can see that the left side and right side are symmetric to each other.
Therefore, we can draw a line of symmetry separating them.
The figure shows as follows,
Hence, the correct option is (a).
Note: We need to understand that one line of symmetry is taken into consideration one at a time, and not all at once. In the example of the square either horizontal, vertical, or any one of the diagonal is taken into account. But there are 4 ways distinct ways of drawing the line of symmetry.
Complete step-by-step answer:
Let’s first understand by lines of symmetry.
A line of symmetry is a line that cuts a shape into half. This means that if we were to fold the shape along the line, both halves would match exactly. Equally, if we were to place a mirror along the line, the shape would remain unchanged.
We can demonstrate this with a simple example of a square.
As we can see that in the square there are four lines of symmetry. That means if we place a mirror on any one of the lines we will get the exact replica of the other half.
Now, we have been asked to find the lines of symmetry in the image of Taj Mahal.
The above image shows the Taj Mahal. In this we can see that the left side and right side are symmetric to each other.
Therefore, we can draw a line of symmetry separating them.
The figure shows as follows,
Hence, the correct option is (a).
Note: We need to understand that one line of symmetry is taken into consideration one at a time, and not all at once. In the example of the square either horizontal, vertical, or any one of the diagonal is taken into account. But there are 4 ways distinct ways of drawing the line of symmetry.
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