Home
Class 7
MATHS
A circle has...

A circle has

A

no line of symmetry

B

one line of symmetry

C

two lines of symmetry

D

an unlimited number of lines of symmetry.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question about the number of lines of symmetry in a circle, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Lines of Symmetry**: A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other. 2. **Analyzing a Circle**: Consider a circle. Any line that passes through the center of the circle will divide it into two equal halves. 3. **Drawing Lines of Symmetry**: You can draw a line from any point on the circumference of the circle to the center, and this line will create two identical halves. 4. **Counting the Lines**: Since you can draw an infinite number of lines through the center to any point on the circumference, it means that there are an unlimited number of lines of symmetry in a circle. 5. **Choosing the Correct Option**: Based on the analysis, the correct answer to the question is option D: an unlimited number of lines of symmetry. ### Final Answer: The circle has an unlimited number of lines of symmetry. ---
Promotional Banner

Topper's Solved these Questions

  • REFLECTION AND ROTATIONAL SYMMETRY

    RS AGGARWAL|Exercise Exercise A(True / False)|7 Videos

  • REFLECTION AND ROTATIONAL SYMMETRY

    RS AGGARWAL|Exercise Exercise B|12 Videos

  • REFLECTION AND ROTATIONAL SYMMETRY

    RS AGGARWAL|Exercise Exercise B|12 Videos

  • RATIONAL NUMBERS

    RS AGGARWAL|Exercise TEST PAPER -(4)|17 Videos

  • SIMPLE INTEREST

    RS AGGARWAL|Exercise test perper 12 D|1 Videos

Similar Questions

Explore conceptually related problems

Write True or False: Give reasons for your answers. (i) Line segment joining the centre to any point on the circle is a radius of the circle. (ii) A circle has only finite number of equal chords. (iii) If a circle is divided into three equal arcs, each is a major arc. (iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle. (v) Sector is the region between the chord and its corresponding arc. (vi) A circle is a plane figure.

The largest chord of the circle has a length of 20.4 cm. The radius of the circle will be _________.

One circle has a radius of 98 cm and a second concentric circle has a radius of 1 m 26 cm.How much longer is the circumference of the second circle than that of the first?

In the diagram below,the outer circle has radius 3, and the inner circle has radius 2. The triangle is isosceles with the sides not touching the smaller cirale be equal.Then square of the area of darkened region is

Asector of 120^@ cut out from circle has an Area 9 3/7 cm^2 . What is radius of circle ?

One circle has a radius of 5 and its centre at (0,5). A second circle has a radius of 12 and its centre at (12,0). What is the length of a radius of a third circle which passes through the centre of the second circle and both the points of intersection of the first two circles.

The foot of the normal from the point (1,2) to a circle is (3,4) and a diameter of the circle has the equation 2x+y+5=0 ,then the equation of the circle is

DIAMETER A chord passing through the centre of a circle is known as its diameter. Note that a circle has many diameters and a diameter of a given circle is one of the largest chords of the circle.Also all diameters are of the same length.

The radii of two circles are 20 cm and 15 cm respectively. If a third circle has an area which is equal to the sum of the areas of the two given circles, what will be the radius of the third circle?