Question

A regular pentagon shares a common center with a regular hexagon. If `bar(LM)` || `bar(AB)`, across how many lines of reflection can the combined figure be reflected to map onto itself?

A. 6
B. 3
C. 1
D. 0

Answer 1

our lines of symmetry is made limited by the presence of the pentagon. If we slice the pentagon into two, the only line of symmetry we could create would be the line intersecting O and the median of LM. Other lines would not create a symmetrical half.

Therefore the line of reflection is only 1.

questioned answered by

(jacemorris04)