
The number of lines of symmetry in a rectangle and a rhombus are______ (equal /unequal).
Answer
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Hint- In this question, we use the concept of line of symmetry. The line of symmetry can be defined as the axis or imaginary line that passes through the centre of the shape or object and divides it into identical halves.
Complete step-by-step answer:
Now, we find the number of lines of symmetry in a rectangle by using the figure of the rectangle.
We can see two imaginary lines that pass through the centre of the rectangle and divide it into identical halves.
So, the number of lines of symmetry in a rectangle are 2.
Now, we find the number of lines of symmetry in rhombus by using the figure of rhombus.
We can see two imaginary lines that pass through the centre of the rhombus and divide it into identical halves.
So, the number of lines of symmetry in rhombus are 2.
Now, the number of lines of symmetry in the rectangle and rhombus are 2.
So, the number of lines of symmetry in a rectangle and a rhombus are equal.
Note- In such types of problems we use some important points to solve questions in an easy way. First we draw a figure of rectangle and rhombus and then draw some imaginary straight lines that passes through the centre of object, pass through the diagonals of object and parallel to sides of object. In case of rectangle two line symmetry both are parallel to sides of the rectangle and also pass through the centre of the rectangle. In the case of rhombus two line symmetry both pass through diagonals and also pass through the centre of the rhombus.
Complete step-by-step answer:
Now, we find the number of lines of symmetry in a rectangle by using the figure of the rectangle.
We can see two imaginary lines that pass through the centre of the rectangle and divide it into identical halves.
So, the number of lines of symmetry in a rectangle are 2.
Now, we find the number of lines of symmetry in rhombus by using the figure of rhombus.
We can see two imaginary lines that pass through the centre of the rhombus and divide it into identical halves.
So, the number of lines of symmetry in rhombus are 2.
Now, the number of lines of symmetry in the rectangle and rhombus are 2.
So, the number of lines of symmetry in a rectangle and a rhombus are equal.
Note- In such types of problems we use some important points to solve questions in an easy way. First we draw a figure of rectangle and rhombus and then draw some imaginary straight lines that passes through the centre of object, pass through the diagonals of object and parallel to sides of object. In case of rectangle two line symmetry both are parallel to sides of the rectangle and also pass through the centre of the rectangle. In the case of rhombus two line symmetry both pass through diagonals and also pass through the centre of the rhombus.
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