Question

how many lines of symmetry does each triangle have? no lines of symmetry 1 line of symmetry 3 lines of symmetry

Explanation:

Step1: Recall the definition of line of symmetry

A line of symmetry is a line that divides a figure into two congruent (identical) parts.

Step2: Analyze the green and pink triangles

These are scalene triangles. A scalene triangle has no sides equal. So, there is no line that can divide it into two congruent parts.

Step3: Analyze the orange triangle

This is an isosceles triangle. An isosceles triangle has two sides equal. The line of symmetry is the line that passes through the vertex (opposite the base) and the mid - point of the base.

Step4: Analyze the light - blue triangle

This is an equilateral triangle. An equilateral triangle has all three sides equal. The lines of symmetry are the lines that pass through each vertex and the mid - point of the opposite side. Since there are three vertices, there are three lines of symmetry.

Answer:

• The green and pink triangles: No lines of symmetry.
• The orange triangle: 1 line of symmetry.
• The light - blue triangle: 3 lines of symmetry.