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Name: _______________
Basic Geometry Work Packet #1
State whether the following statement is true or false. If false, change the
statement to make it true.
1.) If the measures of 2 angles add up to 90o, they are supplementary.
2.) When writing the geometry notation for a ray, the arrow can point in
either direction.
3.) A plane is a flat surface that continues without end.
4.) Vertical angles are angles that are next to each other and congruent.
5.) A segment is part of a line with two end points.
6.) Perpendicular lines intersect at 45o.
7.) A square is a rectangle with 4 congruent sides.
8.) All rectangles are parallelograms.
9.) All quadrilaterals are trapezoids.
10.) A square is a rhombus and a rectangle.
11.) Alternate interior angles are on the same side of the transversal and
are congruent.
12.) A regular polygon has only congruent sides.
Use the following diagram for questions 13 - 16.
E
G
A
C
F
B
H
D
13.) Name all line segments that intersect CG .
14.) Name all line segments that are parallel with BF .
15.) Name all line segments that are perpendicular with FH .
16.) Name all line segments that are skew with BD .
Use the following diagram for questions 17 - 19.
17.) m  1 =
What type of angles allowed you to determine this?
18.) m  2 =
What type of angle allowed you to determine this?
19.) m  3 =
What type of angle allowed you to determine this?
20.) Use the following figure for questions 20 –25.
20.) Determine all the missing angles.
21.) Name all the vertical angles.
23.) Name all the corresponding angles.
24.) Name all the alternate interior angles and alternate exterior angles.
25.) Determine the measure of all angles.
26.) Determine the measure of all angles.
27.) Classify the following triangles by side and angle.
a.)
b.)
Side:______________
Side:________________
Angle:_____________
Angle:_______________
c.)
d.)
Side:______________
Side:_______________
Angle:_____________
Angle:______________
28.) Give all names for each quadrilateral.
a.)
b.)
29.) What is the sum of the interior angles of a nonagon? If it is a regular
nonagon, what is the measure of each angle?
30.) If the sum of the interior angles of a polygon is 4,140o, how many
sides does it have?
31.) Find the value of y:
Can the following side lengths create a triangle? Write yes or no.
32.) 4 yd, 9 yd, 15yd
33.) 6 m, 6 m, 11m
34.) 1 in, 3 in, 5 in
Review Topics: You will not see this on this on the test.
35.) Simplify the following:
a.) -9(3a)
 2 x3 y 
c.)   4 5 
 4x y 
b.) 8(2a + 3) -4a
2
d.) 5x4(3x-9)
36.) Solve the following:
a.) – (7 – 4x) = 9
c.) 4(6x + 1) – 3(4x + 3) = 43
b.) –18 – 2(3k) = 6(1 + 3k)