Question

8
part a
(a)
which dotted line is a line of symmetry?
a.
b.
c.
d.
ad
bc
cb
da
(b)
part b
how many lines of symmetry does the figure shown below have?
answer:

Explanation:

Part A

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 each option

• Option A: The dotted line does not divide the star into two congruent parts.
• Option B: The dotted line passes through the vertex and the mid - point of the opposite side of the star, dividing it into two congruent parts.
• Option C: The dotted line is not a line of symmetry as it does not create two identical halves.
• Option D: The dotted line does not divide the star into two congruent parts.

Part B

Step1: Recall the properties of a regular star (pentagram)

A regular star (in this case, a 5 - pointed star) has 5 lines of symmetry. Each line of symmetry passes through a vertex and the mid - point of the opposite side.

Answer:

• Part A: C. \(B\)
• Part B: \(5\)