Math 109
Exam 2 Review
1) Classify each triangle according to the information
given about the sides or the angles.
a) 
∆ABC is an Isosceles Obtuse
Triangle
b) 
∆ABC is
an Isosceles Right Triangle
2) Find the measure of the interior angle of a regular polygon
with 12 sides.
3) Find the sum of the measures of the interior angles of
a regular octagon.
4) Find the sum of the measures of the interior angles of
a polygon with 14 sides.
5) Find the measure of each interior angle of a regular
polygon with 9 sides.
6) Find the hypotenuse c, given that the legs are a = 24
and b = 10 in 
where
is a right angle.
7) Given that sum of the interior angles of a polygon is
2340, find the number of sides of the polygon.
8) Complete the following chart
|
Regular Polygon |
Sides |
Sum of measures of the interior angles |
Measure of the interior angle |
Measure of the exterior angle |
Number of Diagonals |
|
Hexagon |
6 |
|
|
|
|
|
Octagon |
8 |
|
|
|
|
|
Decagon |
10 |
|
|
|
|
9) Find the measure of each exterior angle of a regular polygon
with 15 sides
10) Given: AB || DC, 
bisects
, and 
, find 
(Show work)
11) Find the missing leg a, given the other sides are b = 6
and c = 10 in where c is the hypotenuse and is a right angle.
12) 
Find x.
Proofs
1)
|
Statement |
Reason |
|
1) |
1)
Given |
|
2) |
2)
Definition of perpendicular lines |
|
3) |
3) Any
two right angles are congruent |
|
4) |
4) Identity property |
|
5) |
5) SAS |
2)
|
Statement |
Reason |
|
1) |
1)
Given |
|
2) |
2) If
two lines intersect, then the vertical angles formed are congruent |
|
3) |
3) SAS |
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3)
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