Question

What is the smallest number of squares that must be added so that the line AB becomes a line of symmetry?
A. 1
B. 2
C. 5
D. 4

Answer 1

Hint: In the above question, we need to add a few numbers of squares so that the line AB becomes a line of symmetry. In mathematics, symmetry means mirror image. It is balanced and proportionate similarity found in two halves of an object, that is, one half is the mirror image of the other half.

Complete step-by-step answer:
Add some boxes or squares so that the number of squares on each side of AB becomes equal and when folded along AB squares of one side should cover all squares of the other side.

Here in this figure, we will draw $five$ squares. Two squares have been drawn on the right side of the line AB and three squares have been drawn on the left side of the line AB. Then finally line AB becomes a line of symmetry.
Line of symmetry: The imaginary line or axis along which you fold a figure to obtain the symmetrical halves is called the line of symmetry. It basically divides an object into two mirror-image halves. The line of symmetry can be vertical, horizontal or diagonal.

So, the correct answer is “Option C”.

Note: Line of symmetry, Reflection symmetry, mirror symmetry, mirror – image symmetry, is symmetry with respect to reflection. One half is the reflection of the other half. An object or figure which is indistinguishable from its transformed image is called mirror symmetric. In conclusion, a line of symmetry splits the shape in half and those halves should be identical. There are two types of lines of symmetry: 1) Vertical Line of Symmetry 2) Horizontal Line of Symmetry.