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3. geometry

NAME: _________________________
Geometry Unit 1 Review Worksheet
DATE: _____________________
Please put all answers into your geometry notebook
in order to receive full credit. Do not place answers
on this worksheet.
1. Write a good definition for each of the terms or
symbols shown below.
a.
b.
f. Collinear
j. Rectangle
n. Chord
e. Acute
i. Trapezoid
m. Secant
q. Complementary
c.
d. Obtuse
g. Coplanar
k. Parallelogram
o. Inductive
h. Rhombus
l. Kite
p. Deductive
PERIOD: _______________
5. Write the symbol notation for the geometric
figure. Then name the figure.
C
D
6. Draw line segment CD.
r. Supplementary
7. Determine the midpoint of the line segment
whose endpoints are 4, – 4 and – 14, 14 .
b
2. Name the line.
g
b
g
A
B
3. Find m LJK and m IJK if
m LJK  2 x  5  , m IJK  13x  2  , and
m LJI  63 .
b
b
g
K
g
L
b
g
8. M – 1, – 2 is the midpoint of RS. If S has the
coordinates 6, 1 , find the coordinates of R.
b g
9. Which is a counterexample to the following
faulty definition?
A triangle is a figure with sharp corners.
[A] A square has four corners.
[B] Star shapes also have sharp corners.
I
J
[C] A triangle must have three sides.
4. Which set of three points is noncollinear?
B
[A] A, D, C
10. Write all of the corresponding parts for the two
triangles given that CDE   FGH.
[B] B, E , D
E
F
[C] A, E , B
[D] B, C, F
Kruzich ‘12
[D] Lines are not considered figures.
A
D
C
11. If quadrilateral ABCD is congruent to
quadrilateral UVWX, then BC is congruent to
.
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Geometry Unit 1 Review Worksheet
12. Which is a convex polygon?
15. Identify three central angles.
Which is a concave polygon?
D
[A]
O
[B]
A
C
B
[C]
Draw , mark, and label each figure for questions
#16-19.
16. Circle Q with diameter AB and tangent AT
[D]
17. An octagon OCTAGNUS with vertices S, C, A,
and N joined to form trapezoid SCAN such that SC
|| NA
13. Name three radii of circle O below.
18. Circle R with an arc AB measuring 60
19. Rhombus RHOM with RO  HM
20. Oscar wants to build a fence around his pool.
The pool is 28 feet long by 25 feet wide. The fence
is to be 9 feet from the edge of the pool. How much
fencing will he need?
14. Identify two chords.
E
D
H
O
G
C
Kruzich ‘12
F
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Geometry Unit 1 Review Worksheet
21. Identify the kinds of angles in each diagram and state whether the angles are equal or
supplementary.
a)
b)
c)
d)
____________
____________
____________
____________
____________
____________
____________
____________
For #22 and #23, use the figure at the right.
22.
a. Name all pairs of Corresponding Angles.
1 2
3 4
b. Name all pairs of Alternate Interior Angles.
c. Name all pairs of Alternate Exterior Angles.
5 6
7 8
d. Name all pairs of Vertical Angles.
e. Name all Linear Pairs of Angles.
f. Name all pairs of Co-Interior Angles
23. If the m1  110 , then find...
m2  ____
m3  ____
m4  ____ m5  ____
m6  ____
m7  ____ m8  ____
24. For the figure shown below, solve for x and find the measure of the angle.
2x + 17
3x - 4
x = ___________
top  =_________
bottom  =_____
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Geometry Unit 1 Review Worksheet
25. Finding the nth term: Write an explicit formula that will calculate any term’s value based on its
position number (n) in the pattern. Then find the term indicated.
n
1
2
3
4
5
6
…
f(n)
-2
4
10
16
22
28
…
n
…
100
…
26. Find the missing elements in the sequence below.
5, 8, 13, 20, 29, 40, ____, 68, 85, ____, 125, . . .
27. A line through the points (-5, 2) and (3, y) has a slope of 
3
. Find y.
4
28. Find the slope of the line parallel to the line through the points (-9, 2) and (-3, 5).
29. Find the slope of the line perpendicular to the line through the points (-10, -2) and (3, 1).
30. Determine the midpoint of the line segment whose endpoints are (7, 0) and (-11, 18).
31. Solve for x: 2 x  4  6 x 12
32. The 12th grade class of 80 students is assembled in a large circle on the football field at
half-time. Each student is connected by a string to each of the other class members. How many
pieces of string are necessary to connect each student to all the others?
[A]
b80g  40
2
Kruzich ‘12
b g
[B] 79 80  6320
[C]
b g
80 81
 3240
2
[D]
b g
79 80
 3160
2
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Geometry Unit 1 Review Worksheet
ANSWERS (partial):
[17]
[1] look up definitions
[2] AB
[3]
LJK  13
IJK  50
[4] [B]
[18] get answer in class
[5] CD; ray
[19]
[6]
C
D
b g
[8] b– 8, – 5g
[7] – 5, 5
[20] 178 ft
[9] [B]
[10] CD  FG; DE  GH; CE  F H ;
C   F;  D  G;  E   H
[11] VW
[12] [D] is Convex; [B] is Concave
[13] OU , OR, and OT
[14] EF and CD
[15] COD, COB, COA, BOA, AOD
[16]
Kruzich ‘12
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