Download The perimeter of a regular polygon is 63 feet

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Geometry
Chapter 8 Test Review #2
1) Use the theorems/formulas for interior and exterior angles of a polygon to find:
a) the sum of the measures of the angles in a 26-gon. (2 points)
b) the number of sides of an n-gon if the sum of the interior angles is 1800˚. (3 points)
c) the number of sides of a regular n-gon if one exterior angle measures 35˚.(2 points)
2) The perimeter of a regular polygon is 33 feet. An exterior angle of the polygon measures 40°. Find the
length of each side. (3 points)
3) Solve for x. (3 pts)
4) Solve for x and y. (6 pts)
3x
6x
6x - 1
90
3x + 4
x – 10
75
85
3y
3x + 5
4) The two figures at right are similar.
3
a) If the ratio of similarity is , then what is the ratio
4
of the perimeters of the two figures? (2 pts)
b) If the perimeter of the smaller figure is 12 and the linear
factor is 4, what is the perimeter of the larger figure? (2 pts)
c) If the area of the smaller figure is 20 and the linear
scale factor is 5, what is the area of the larger figure? (2 pts)
2x – 1
5) Johnny has two similar regular pentagons. The larger has a similarity ratio of 2:1
when compared to the smaller. Only the smaller pentagon is shown. He calculates
the area of ∆ABC to be 35 square units. He now needs to calculate the area of the
pentagon.
2x - 1
B
a) Calculate the area of the smaller pentagon. (1 pt)
A
6
C
b) "Oh, gosh!" Johnny exclaims. "Now I have to go through all this hard work again to find the area of
the larger pentagon!" Does he? Explain. (2 pts)
c) Find the area of the larger pentagon. (2 pts)
A
6) Given: BD bisects ADC
AD = CD
Prove that the triangles are congruent
1
2
D
C
7) The dashed line is a line of symmetry. Solve for x. (4 pts)
4x
x
85°
B