Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
A.90
B.72
c.60
D.45 E.30

The central angle of a regular pentagon is : 360° : 5 = 72°
Through this angle of rotation the image of a regular pentagon coincide with its preimage.
Answer: B ) 72°

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MsEHolt MsEHolt · Answer 2 · 2018-08-06T03:42:55+02:00

The correct answer is:

B) 72°.

Explanation:

A figure's rotational symmetry tells us how we can rotate the figure and have the image coincide with the pre-image.

To find the degrees of rotational symmetry, we divide 360° (the total number of degrees in a circle) by the number of regular sides of the figure. This is a regular pentagon, so we divide 360 by 5:

360/5 = 72

This figure has rotational symmetry at 72°, which means a rotation of this measure will cause the image to coincide with the pre-image.

Through which angle of rotation does the image of a regular pentagon coincide with its preimage? A.90 B.72 c.60 D.45 E.30

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Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
A.90
B.72
c.60
D.45 E.30