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Geometry
Semester 1 Review 2013-2014
Name__________________________
Period ___________
1) Draw an example of four coplanar points, only 3 of which are collinear.
2) Draw a labeled example of :
a) a ray
b) a line
c) a segment
3) Name this angle four ways:
A
C
1
B
4) Draw a concave polygon and a convex polygon.
5) Which triangle congruency conjecture would be used for each of the following?
a)
b)
P
X
W
N
c)
T
G
O
Q
U
S
R
I
Y
Z
B
A
X
d)
I
N
e)
X
S
C
W
T
Z
Y
1
6) Name all of the congruent parts of the following two congruent figures (sides and angles).
R
A
E
B
W
D
S
T
7) Draw an example of Vertical Angles. What do we know about vertical angles?
8) Draw an example of Corresponding Angles, one of alternate interior angles, one of alternate
exterior angles and co-interior angles. (4 pictures total)
10) Draw an example of an exterior angle of a triangle. What do we know about exterior angles
of triangles?
11) What is the degree measure of
BAC ?
B
12x+5
L
20x
A
6x+5
C
2
12) Point G is the centroid of ABC . Find the length of GX , GB , and GA if GC =21cm ,
GY =6cm and GZ =8cm .
A
GX  __________
GB  __________
Y
X
G
GA  __________
B
C
Z
13) Construct (duplicate) ABC . Then Construct the angle bisector of ABC . Then label the
bisector BD .
A
B
C
14) Construct the Centroid of JKL . What are the intersecting line segments called?
J
L
K
15) Construct the Incenter of JKL and the Circumcenter of ABC . What are the intersecting
line segments of each point of concurrency called?
J
A
C
K
L
B
3
16) Find the rules for the following sequences. Use the form f(n) = mn + b.
Find the 20th term.
n
f(n)
1
-4
2
4
3
12
4
20
5
28
6
36
…
…
n
…
…
20
n
f(n)
1
3
2
9
3
15
4
21
5
27
6
33
…
…
n
…
…
20
17) Choose from the list of terms provided to complete each statement. Each term may be used
more than once.
Angle Bisector
Construction
Perpendicular Bisector
Centroid
Draw
Perpendicular Segment
Circumcenter
Incenter
Orthocenter
Concurrency
Midpoint
Sketch
Alternate Interior Angles
Corresponding Angles
Vertical Angles
a. Points equidistant from both sides of an angle lie on the _____________________.
b. This command has you create a picture using a compass and a straightedge:__________.
c. The center of a circle, circumscribed about a triangle is called the ________________.
d. This point of concurrency in a triangle is where the triangle’s three medians intersect.
________________.
e. This point of concurrency in a triangle is where the triangle’s three angle bisectors intersect.
________________.
f. The point of intersection is called the point of ________________.
g. This command has you create a picture using a ruler and protractor: ________________.
h. The center of gravity in a triangle can be found at the ________________.
i. The POINT on a segment, equidistant from the endpoints of the same segment is called the
________________.
j. The shortest distance from a point to a line is measured along the ___________________
from the point to the line.
k. Points, not on a segment, equidistant from the endpoints of the segment lie on the
_____________________.
l. This command has you create a picture using free hand: ________________.
m. The center of a circle, inscribed in a triangle is called the ________________.
n. This point of concurrency in a triangle is found where the triangle’s three altitudes intersect.
________________.
o. This point of concurrency in a triangle is found where the triangle’s three perpendicular
bisectors intersect. ________________.
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Geometry
Semester 1 Review 2012 Part 2
Name__________________________
Period ___________
A
18) Construct a perpendicular bisector to BC .
19) Find the value of x.
x
A
E
B
B
F
40cm
50cm
C
C
D
20) Write the midpoint formula.
21) Write the slope formula.
22) You are given triangle ABC with vertices at A(4,6), B(2,3) and C(7, -3).

Find the midpoints of sides AC and BC .

Find the slope of AB .

Find the slope of the midsegment connecting AC and BC .

Find the slope of any line perpendicular to AB .
7
A
6
5
4
3
B
2
1
4
2
2
4
6
8
10
1
2
3
C
4
3
23) Line M has an equation of y   x  5 . Write an equation of a line that is parallel to it.
5
5
5
24) Write an equation of a line that is perpendicular to line M that goes through the point
(-5, 2).
25) Find the slope of a line perpendicular to the line containing points (3,5) and (-2, 9).
26) Find the values of x and y.
A
x
y
104°
C
B
A
28) Which angle is largest (angle A, B, or C)?
Which angle is smallest?
3.24 cm
29) Find the value of x so that DEG  CBF .
D  50
EG  (2x  5) cm
F  40
DG  45 cm
BF  (3x  9) cm
3.03 cm
C
3.37 cm
B
E F
D
G
C
B
30) Match the correct figure with the vocabulary term it represents. In each picture, C is the
center of the circle.
a) _____
A
radius
b) _____
central angle
c) _____
chord
d) _____
secant
e) _____
tangent
f) _____
diameter
g) _____
inscribed angle
B
•
E
•C
•C
F
•C
G
•C
H
•
•
C
27) Find the maximum and minimum values for x.
a) maximum __________
b) minimum___________
C
•C
D
C
8
17
C
x
6
31) In problems a – d, solve for x.
a)
b)
c)
d)
A
32) Find:
mE ____
33) H  95. Find J.
H
mA ____
B
mO ____
mABO _____
G
E
BED = 225°
arc BD ______AB and
D
O
I
J
AD are tangent segments
A
mABC = 101°
E
B
1
2
F
mFED = 98°
34) Find m4.
3
C
35)
4
D
G
I
Find mG if G = (2x+6)° and  I = (4x - 22)
J
H
7
36) Complete the flowchart
37)
38)
39)
40) Solve the system of equations
5 x  y  11
x  6 y  27
41)
F
P
L
I
In parallelogram FLIP,
F and L are _____________.
P and L are _____________.
8
42. Write the definitions for a parallelogram, rhombus, rectangle and a square. What are the
differences between them?
43. Write the converses for the following statements:
a. If it is snowing, then it is cold outside.
b. If a figure is equilateral, then all sides are equal.
44. ABC is equiangular and has a perimeter of 381 mm. What is the length of side AB, BC &
AC?
F
45. Name three sets of Linear Pairs in the figure at the right.
46. Determine the measure of each angle in the pentagon.
E
A
5x+5
B
E
C
3x+14
D
B
4x-8
4x+7
D
5x-24
C
47. Matching:
i. Centroid
ii. Circumcenter
iii. Incenter
iv. Orthocenter
a. Equidistant from vertices of triangle
b. Equidistant from sides of triangle
c. Useless / Constructed using altitudes
d. Center of Mass
48. Describe the difference between AAS and ASA. Draw pictures to support your answer.
49.
a. A parallelogram that is equiangular is called a _______________.
b. A parallelogram that is equilateral is called a _______________.
50.
a. Solve for x
3x  y  13
x  6y  10
b. Solve for x
2x  y  11
x  4y  30
9