Question

1. line symmetry a figure has line symmetry if it can be folded over exactly onto itself. the fold line is called the line of symmetry. a regular quadrilateral has four lines of symmetry, as shown. find the number of lines of symmetry in each polygon. a. a regular triangle b. a regular pentagon c. a regular hexagon d. a regular octagon

Explanation:

Step1: Recall line - symmetry concept

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

Step2: Analyze regular triangle

A regular triangle (equilateral triangle) can be folded along 3 lines (from each vertex to the mid - point of the opposite side). So, it has 3 lines of symmetry.

Step3: Analyze regular pentagon

A regular pentagon can be folded along 5 lines (from each vertex to the mid - point of the opposite side). So, it has 5 lines of symmetry.

Step4: Analyze regular hexagon

A regular hexagon can be folded along 6 lines (3 lines connecting opposite vertices and 3 lines connecting mid - points of opposite sides). So, it has 6 lines of symmetry.

Step5: Analyze regular octagon

A regular octagon can be folded along 8 lines (4 lines connecting opposite vertices and 4 lines connecting mid - points of opposite sides). So, it has 8 lines of symmetry.

Answer:

a. 3
b. 5
c. 6
d. 8