Question
Which of the following figures has multiple lines of symmetry (more than one line of symmetry)?
Hint:
A balanced and proportionate likeness between an object's two halves is referred to as symmetry in geometry. It implies that one half is the other's mirror image. The term "line of symmetry" refers to the fictitious axis or line that can be used to fold a figure into symmetrical halves. Here we have given some figures and we have to find which has more than 1 line of symmetry.
The correct answer is:
A definition of symmetry in mathematics states that whether one shape is moved, rotated, or flipped, it exactly resembles the other shape. According to the math definition of symmetry, "symmetry is a mirror image." Symmetry is the property of an image that remains unchanged after a shape has been rotated or flipped. There are patterns in it.
The term "line of symmetry" refers to the fictitious axis or line that you fold a figure along to create its symmetrical halves. In essence, it splits one thing into two mirror images. The symmetry line may run vertically, horizontally, or diagonally. There could be one or many symmetry lines.
Here we have given 4 figures and we have to find which figure has more than 1 line of symmetry.
Lets go one by one, the first figure is:
So in this figure we can draw only 1 vertical line as the line of symmetry so it has 1 line of symmetry.
The second figure is:
So in this figure we can draw only 1 horizontal line as the line of symmetry so it has 1 line of symmetry.
So in this figure we can draw only 1 vertical line as the line of symmetry so it has 1 line of symmetry.
So in this figure we can draw 2 lines, 1 horizontal line as well as 1 vertical line of symmetry so it has 2 lines of symmetry.
So the figure 4 has more than 1 line of symmetry.
If a line can be drawn separating a figure into two identical pieces, the figure possesses line symmetry. The path is known as a symmetry line. A figure might only contain one line of symmetry, two lines of symmetry, or none at all. So here the figure 4 has more than 1 line of symmetry.
Related Questions to study
The result of a translation is _______.
In this question, we used the concept of translation and found out that its an image that is formed after translation. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. Translation is changing of position of the image.
The result of a translation is _______.
In this question, we used the concept of translation and found out that its an image that is formed after translation. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. Translation is changing of position of the image.
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Which of the following alphabets has no line of symmetry?
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Translation is possible
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Hence option C is the correcct option
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Hence option C is the correcct option
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From the given diagram, what can be said about sides AC and PC?
An algebraic representation of translation of a point 6 units to the right and 3 units up
Hence option A (x+6,y+3) is the suitable option.
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Hence option A (x+6,y+3) is the suitable option.
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Choose the image which shows reflective symmetry.
In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.
From the diagram given below, what is the true relation between ∠ABC and ∠ABD?
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