Question

By drawing a free hand sketch of each of the following, draw the line of symmetry in an isosceles triangle.

Answer 1

Hint: In this question, we have to draw a line of symmetry in an isosceles triangle. For this, we will first draw a triangle having two sides equal. This triangle will be an isosceles triangle. Then from the common vertex of the equal sides we will draw a line which cuts the third side into half. This line will be our required line of symmetry.

Complete step-by-step answer:
The line of symmetry can be defined as the axis or the imaginary line that passes through the center of the shape and divides it into identical halves.
Here we need to draw the line of symmetry for an isosceles triangle. So for this, let us draw a triangle having two sides equal. Since the line of symmetry should divide the triangle into equal halves. So we will want each equal side as part of equal halves. Hence we will draw a line from the common vertex of both sides to the third side of the triangle. The line should cut the third side of the triangle into equal halves. This line is the line of symmetry which divides the triangle into two equal halves.

Hence, AB = AC and AM is the line of symmetry for triangle ABC.

Note: Students should note that an isosceles triangle has only one line of symmetry. No other line can cut this triangle into two equal halves. In a scalene triangle, there are no lines of symmetry and is an equilateral triangle, there are three lines of symmetry.