Question

how many lines of symmetry does this equilateral triangle have? number of lines of symmetry:

Explanation:

Step1: Recall the definition of line of symmetry

A line of symmetry divides a figure into two congruent parts.

Step2: Analyze an equilateral triangle

An equilateral triangle has three angles equal to \(60^{\circ}\) and three sides of equal length.

Step3: Determine the number of lines of symmetry

Each median (a line from a vertex to the mid - point of the opposite side) is a line of symmetry. Since there are three vertices and three medians, an equilateral triangle has 3 lines of symmetry.

Answer:

3