
The number of lines of symmetry in a kite is
A. $ 0 $
B. $ 1 $
C. $ 2 $
D. $ 3 $
Answer
526.2k+ views
Hint: If you have ever seen a kite then you will get that in geometry a kite is nothing but a quadrilateral whose four sides can be considered in pairs of two of same lengths which are adjacent to each other. Before answering use this information and draw a kite and then choose the correct option.
Complete step-by-step answer:
Probably, we all have seen or played with kites in our childhood at once and also some play with them in adulthood too, jokes apart, in this question we have to find the number of symmetry lines a kite has. For that let us first know about the structure of kite,
In Euclidean geometry, geometry of a kite is nothing but a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. Using this information drawing a rough figure of kite below in order to get its symmetry line more clearly,
So, this is a diagram of kite, we can see that it has four sides and also the sides $ {\text{AB}}\;{\text{and}}\;{\text{AD,}}\;{\text{and,}}\;{\text{CB}}\;{\text{and}}\;{\text{CD}} $ are equal and adjacent to their respective pair.
Also we can see that there is only one line of symmetry which is $ {\text{AC}} $
So option B. is the answer.
So, the correct answer is “Option B”.
Note: Not every geometrical shape has a line of symmetry. Also regular polygons have number of lines of symmetry equal to the number of their sides, you can check this for square, equilateral triangle or a regular polygon, they have $ 4,\;3\;{\text{and}}\;5 $ number of lines of symmetry respectively.
Complete step-by-step answer:
Probably, we all have seen or played with kites in our childhood at once and also some play with them in adulthood too, jokes apart, in this question we have to find the number of symmetry lines a kite has. For that let us first know about the structure of kite,
In Euclidean geometry, geometry of a kite is nothing but a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. Using this information drawing a rough figure of kite below in order to get its symmetry line more clearly,
So, this is a diagram of kite, we can see that it has four sides and also the sides $ {\text{AB}}\;{\text{and}}\;{\text{AD,}}\;{\text{and,}}\;{\text{CB}}\;{\text{and}}\;{\text{CD}} $ are equal and adjacent to their respective pair.
Also we can see that there is only one line of symmetry which is $ {\text{AC}} $
So option B. is the answer.
So, the correct answer is “Option B”.
Note: Not every geometrical shape has a line of symmetry. Also regular polygons have number of lines of symmetry equal to the number of their sides, you can check this for square, equilateral triangle or a regular polygon, they have $ 4,\;3\;{\text{and}}\;5 $ number of lines of symmetry respectively.
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