Answer:
5 and 5
Step-by-step explanation:
Pentagon has 5 rotational and reflectional symmetries. Hope this helps. :'-)
You can use the fact that there are 5 vertex and all sides are congruent.
The completed statement would look like:
When rotated about its center, a regular pentagon has _5_ rotational symmetries. In addition to rotational symmetry, a regular pentagon has _5_ lines of reflectional symmetry
A regular pentagon is a regular polygon with number of sides = 5.
When a figure is rotated by some angle from some fixed point in the figure, if the figure ends up with exact same shape(congruent), then that figure has rotational symmetry for that angle with respect to that fixed point.
If we reflect the figure with respect to a fixed line, then if the figure is same as previous, then that figure is said to have reflectional symmetry.
Since the considered pentagon can be rotated to bring any of the 5 vertex on top and still looking same due to pentagon being regular, we have 5 rotational symmetries for regular pentagon.
Since we can drop perpendicular from one vertex to its opposite side and get a reflectional symmetry along that perpendicular, and since there are 5 vertices, thus there are 5 reflectional symmetry as there are no other line except the line that will lie in the mid of the pentagon from vertex to the mid of the opposite side as there will be bias, which will break the congruency of the reflected figure.
The pentagon with its reflection axis (5) are plotted in below attached graph.
Learn more about reflectional and rotational symmetry:
https://brainly.com/question/7783612
