To find: The two regular pentagon of different sizes and define if the pentagon are similar and if any two regular
Answer to Problem 54HP
The pentagon are similar and two pentagons are similar as the
Explanation of Solution
Consider the angle measure of the sum of regular pentagon is,
The measure of one interior angle of the pentagon is,
Consider the required pentagon is shown in Figure 1
Figure 1
The above two polygons are similar only when the corresponding angles are congruent and the side lengths are proportional.
Thus, the two pentagons are similar as the angles are congruent and all the sides are proportional with the scale factor
Chapter 7 Solutions
Geometry, Student Edition
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