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Transcript
Name: ______________________________________ Period: ______________ Date: ________________
Geometry Test 3 Review
1) Find the measure of the missing angle.
a)
x
b)
x
x
120
92
139
75
89
125
2) Find the sum of the measures of the interior angles of each polygon AND then find one angle of a
regular polygon with the given number of sides.
a) dodecagon
b) 18 – gon
3) Use the given sum of the measures of the angles of a polygon to determine how many sides it has.
Then, use the number of sides to name the polygon.
a) 9000
b) 6660
4) Determine the value of x.
a)
b)
5) Given: m  1 = 125° , find the measures of  2,  3, and  4.
m  2 = ________________
m  3 = ________________
m  4 = ________________
6) Use the diagrams to find the measure of the missing angles, classify each angle by its sides (equilateral,
isosceles or scalene), classify each triangle by its angles (obtuse, right or acute).
m  x = ________________
m  x = ________________
m  x = ________________
m  y = ________________
Classify by…
Classify by…
Classify by…
Sides: ________________
Sides: ________________
Sides: ________________
Angles: ________________
Angles: ________________
Angles: ________________
7) Using your knowledge of complementary angles, supplementary angles, vertical angles and the given
information, find the measure of the indicated angles.
Given:
AF, CG and DH all intersect at point X. XB and XE are rays
m 2 = 48°, m 5 = 17° and m 6 = 94°.
* note: Diagram is not drawn to scale!
m  1 = ________________
m  2 = 48°
m  3 = ________________
m  4 = ________________
m  5 = 17°
m  6 = 94°
m  7 = ________________
m  8 = ________________
8) In HMS, m H = 50° and m M = 75°. What is the measure of S? Which side is the longest?
Which side is the shortest?
9) Can the following lengths be the sides of a triangle?
a) 12cm, 18cm, 5cm
b) 6m, 7m, 13m
c) 8feet, 2feet, 7feet
10) Use the diagram to determine whether each statement is true or false.
Given: line m // line n; line a is a transversal.
1
4
5
8
6
7
a
A. __________ 1, 5, and  7 are congruent.
B. __________ 2 and 8 are alternate exterior angles.
C. __________ If m 5 = 130°, then m 4 = 130°.
D. __________ 4 and  8 are corresponding.
E. __________ If m 3 = 75°, then m 8 = 105°.
F. __________ 5 and 8 supplementary.
G. __________ 2 and 3 adjacent angles.
2
m
3
n