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Geometry 1st Semester Midterm Review
Name: _______________________________
RBHS 2013
Period 1, 2, 3, 4, 5, 6
# 1- 14: Match the correct definition with the vocabulary word.
_______1.
_______2.
_______3.
_______4.
points that lie on the same line
an accepted statement of fact
Figures with the same measure and shape
lines that are neither parallel nor intersecting and do not lie on the same
plane
_______5. a location, it has no size
_______6. a conclusion reached by observing patterns
_______7. an angle measuring more than 90
_______8. points and/or lines in the same plane
_______9. two collinear rays with same endpoint
_______10. a series of points that extend without end
_______11. A statement that you prove true
_______12. planes that do not intersect
_______13. an angle that measures less than 90; (0 < x < 90)
_______14. part of a line consisting of two endpoints and all the points in
between
_______15. formed by two rays with the same endpoint
_______16. part of a line consisting of one endpoint and all points in one
direction.
_______17. set of all points
_______18. a line that intersects two coplanar lines at two distinct points.
_______19. two angles whose sums are 180
_______20. divides a segment or angle into two congruent segments or angles
A.
B.
C.
D.
E.
F.
G.
H.
I.
J.
K.
L.
M.
N.
O.
P.
Q.
R.
S.
T.
U.
V.
point
line
bisector
space
supplementary
transversal
coplanar
ray
collinear
parallel planes
inductive reasoning
obtuse angle
skew lines
conjecture
angle
acute angle
theorem
segment
congruence
opposite rays
postulate
obtuse angle
#2: Given the conditional statement below, write its converse and state the truth value.
“If a polygon is a square, then it has four sides and four right angles.”
#3: How could you change the conditional in question #2 so that you can write a bi-conditional? Then write the biconditional.
#4: What is the exact length of a segment with coordinates (
)(
)? What is the midpoint of that segment?
#5: Given the picture to the right, name a segment, a line, a ray, opposite rays, vertical angles, supplementary
angles, complementary angles, adjacent angles, a right angle, and a straight angle. (Use Proper Notation!)
Segment:
C
Line:
F
I
Ray:
Opposite Rays:
E
A
B
Vertical Angles:
Supplementary Angles:
G
H
Complementary Angles:
D
A Right Angle:
A Straight Angle:
#6: Given: ⃗⃗⃗⃗⃗⃗ bisects BOD, mAOB =15, , mBOC =
, , mDOC =
. {5 points}
Prove that you answers are correct!
x = ________
A
B
C
mAOD = __________
O
D
#7: If the perimeter of a rectangle is 32 inches and its height is 8 inches, what is the measure of its base?
Show all work!
8: Use the diagram to the right and the following given information to find the length of each of the segments listed
below.
B is the midpoint of AC
D is the midpoint of AB
FC = 42
BE=EF
EF = 12
a) BE=________
A
D
B
E
F
C
b) AB=________
c) AD=________
d) AE=________
e) DF=________
9: Use the figure to the right to answer the following questions. Be sure to use appropriate notation!
a) Name plane Q another way. ____________
P
b) Name the intersection of plane Q and plane PAL. ____________
c) Are P, L, and Y coplanar? ____________
d) Are A and S collinear? ____________
e) Name a line skew to AY .____________
A
Q
S
L
Y
10:What are the circumference and area of the circle below if AB = 14 cm and B is the center of the circle? Leave
your answer in terms of π.
A
B
C
#11: Find solve for each variable in each picture.
(5 y  30)
(3x  10)
(2 y  5)
(2 x  15)
( x)
(3 y  5)
#12: Given that M is the midpoint of segment AB and that AM = x + 7 and MB = 3x – 5, find x, AM and AB.
#13: Use the figure to set up an equation and solve for the indicated values.
x  ______
mAOB  ______
mBOC  ______
mCOD  ______
#14:


Find the missing angle in each figure.
#15:
a)
b)
#17: Solve for “x” given the two parallel lines and a transversal.
a)
b)
#18: Find the missing values given the regular hexagon ABCDEF.
C
D
z
B
E
x
45
A
y
F
#19: Write equations of a line that passes through the coordinates (
)(
) in:
(a) Standard, (b) Slope-Intercept, and (c) Point-Slope Form.
#20: Write equations a line that is passes through the coordinate (
) that is (a) parallel to the line from
question #19 and (b) that is perpendicular to the line from question #19
#21: Give that line m and line n are parallel, describe the following angle relationships.
A. 
B.

C. 
D. 
E. 
F. 
#22: Given that a b and g h ,find the measure of the requested angles and solve for x and y.
m m

m m 
,
h
g
y
5
42
a
3
(
b
4
2
t
)
#23: Find the missing values.
y
#24: Find mDC.
#25: Find the missing measure.