daedae4038 daedae4038
  • 01-03-2017
  • Mathematics
contestada

What is the smallest angle of rotational symmetry that maps a regular pentagon onto itself?

Respuesta :

wolf1728
wolf1728 wolf1728
  • 06-03-2017
72 degrees
*********************************************************************
Answer Link
getalifecom
getalifecom getalifecom
  • 16-09-2020

Consider the regular pentagon ABCDE, with center (of mass)  O.

The central angle O is a complete angle, so its measure is 360°.

It is divided into 5 equal parts, so each of them has a measure of 360°/5=72°.

If we rotate the pentagon, with point O as the center of the rotation, we can map A to any of the other points.

The smallest angle of rotation is the angle which mas A to E, 72°.

Answer: 72°

Answer Link

Otras preguntas

How does democracy ensure the well-being of the people? O A. The government is controlled by the workers. O B. Laws are created to protect civil rights. OC. The
By including their British brethren in the list of grievances, the authors were using which rhetorical appeal? O A. Pathos O B. Kairos O C. Ethos O D. Logos
what is one exsample of a closed economy​
Which of the fallowing was characteristic of humanism
evaluate 5-(1+2)2 ???????????????
Using the drop-down menus, choose the best specific word for "difficult" to complete the sentences. Use each word once. The race through the desert was; it was
Simplify 8-{x-(5+x)}
Can you guys please help me
A flowering yucca plant and a yucca moth have a relationship. The adult female moth lays eggs in the plant, and the young moths eat some of the plant seeds when
Please Simplify. -2+-6+7