What is the smallest angle of rotational symmetry that maps a regular pentagon onto itself?
2 answers:
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°
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°
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Based on the SSS similarity theorem, the pair of triangles that can be proven to be similar is the pair shown in the image attached below.
<h3>What is the SSS Similarity Theorem?</h3>The SSS similarity theorem states that two triangle area similar to each other if the ratio of the three corresponding sides of both triangles are equal.
Thus, in the image attached below, the ratio of the three corresponding sides of the pair of triangles are:
10/2.5 = 11/2.75 = 8/2 = 4
Therefore, the pair of triangles that we can prove to be similar using the SSS similarity theorem is the pair shown in the image attached below.
Learn more about the SSS similarity theorem on:
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