Name___________________________
Name___________________________
Geometry – 1st Semester Review #2
Geometry –
1st
Semester Review #1
1. Given the triangle below, find mC .
1.) Point H is between G and I.
GH = 8x + 7, HI = 3x – 2,
and GI = 38.
Find the value of x.
L
(4x - 5)
(3x + 8)
J
(2x + 15)
C
2.) Find the midpoint of a segment with
endpoints A(-7, 3) and B(3, -3)
2. Given the diagram below, find the
value of y.
3.) What is the converse of “If you are
hungry, then you did not eat lunch?”
4.) What is the reason to why LM = LM?
(5x - 17)
y
(3x + 5)
3. Write the equation of the line
passing through the point (9, -2) and (4,5).
Name___________________________
Name___________________________
Geometry – 1st Semester Review #3
Geometry – 1st Semester Review #4
1. Given: p q . Solve for x and find the m<2.
1. WNHS is a parallelogram.
Find mWNH .
W
p
N
(11x + 7)
(3x - 60)
4
q
1
2
3
(3x + 5)
(2x + 15)
S
H
WI  IN
2. Identify the converse of the
following statement. (The conditional is
not necessarily true!)
If two angles are not vertical angles, then they are
congruent.
2. Given:
TE  ER
WN  TR
Identify the additional piece of
information needed to prove
WIN  TER by HL.
a. IN  ER
b. I  E
3. The acute angles of a right triangle are
____________.
a.
b.
c.
d.
e.
equal
complementary
supplementary
obtuse
right
c. WI  TE
d. A or C
e. B or C
3. Find the slope of the lines that passes through
(-7, 8) and (2, -5).
4. Write the equation of the line with a slope of 5
passing through (-1, 6).
Name___________________________
Name___________________________
Geometry – 1st Semester Review #5
Geometry – 1st Semester Review #6
1.In triangle ABC, <A has a measure that is 5
times m<B. <C is a right angle. Find the measure
of <A and <B.
1. WNHS is an isosceles trapezoid.
Find SH.
W
N
8y
3y + 25
S
7y - 12
H
2. Solve the system of linear equations below.
2. Given: a || b || c, solve for x and y.
5 x  3 y   4

x  2 y  7
a
b
c
49
(7x - 7)
y
3. Given: a b . Solve for x and y.
(5y - 10)
a
b
(2y + 11)
(7x + 15)
3. Given: p q. Solve for x.
Name___________________________
Name___________________________
Geometry – 1st Semester Review #7
Geometry – 1st Semester Review #8
1. Using the given information, which lines, if
any, can you conclude are parallel? (Hint: The
goal is to prove the lines are parallel!!!)
1. In ABC the measure of A is five
more than twice the measure of B . The
measure of C is eleven less than three
times the measure of B . Classify
ABC by angle measure.
a. 1  15
2. Two complementary angles are in the
ratio 7:11. Find the measure of the larger
angle.
b. 14   8
c. 7  11
d. 2  8
2. Given: p q , solve for x and find m<2.
p
(3x - 60)
4
q
1
2
3
(2x + 15)
x=
m2 =
3. Point A is between points C and R and
CR is 27 units in length. If the
coordinates of points C and A are  7
and 4 respectively, find the coordinate of
point R.
Name___________________________
Name___________________________
Geometry – 1st Semester Review #9
Geometry – 1st Semester Review #10
1. Given: Parallelogram WNHS
Find the perimeter of WNHS.
(hint: first solve for x)
W
N
x+ 9
x + 5
1. Given: Parallelogram ABCD.
m1  (2 x  12)
m2  (7 x  8)
m3  27
Find m4 .
A
S
B
H
2x + 1
3
2
2. Given: CAR with altitude AS .
Find mSAR .
1
4
D
C
A
(4x - 1)
(2x + 7)
C
R
S
3. In ABC , AB = BC. If
mA  (4 x  30) and
mC  (2 x  10) , find the measure
of the vertex angle of ABC .
2. Given: AS bisects CAR .
(draw a picture).
If mSAR  (3x  4) and mCAR  (5 x  1)
Find mCAS .
B
3. Find mB .
B
A
C
(2x + 15)
(8x - 5)
(5x - 7)
A
C
D
Name___________________________
Name___________________________
Geometry – 1st Semester Review #11
Geometry – 1st Semester Review #12
1. Given: Trapezoid ABCD with median
EF .
1. Find the length of QT if PR bisects QT at N
and NT = 37. (Draw a picture)
Find AD.
2x + 5
B
C
4x -1
E
A
F
D
7x -11
2. If the diagonals of a rhombus are congruent
then it is also what type of quadrilateral?
2. What is the largest angle in the triangle shown?
3. Two sides of a triangle are 6 and 14. What
are the possible measures of the third side x?
B
20
21
4.  1 and  2 are a linear pair, m  2 = 67º.
A
C
25
3. Use the figure and the given information to
determine which lines are parallel.
m  1 = _________
5. In ∆ABC AB  BC .
B
l2
2
m1
m2
1
4
3
3x-2
x+4
5
6
A
a. What kind of angles are 2 & 6?
a. What kind of angles are 2 & 5?
7
C
Give two names for the triangle.
(acute, scalene, right, isosceles, equilateral, or
obtuse)
Name___________________________
Name___________________________
Geometry – 1st Semester Review #13
Geometry – 1st Semester Review #14
Determine how each set of triangles below are
congruent.
1.) What must be true for ∆ABC  ∆EDC by
SAS?
a.
b.
c.
d.
AB  DE
A   E
AC  CE
B  D
1.
B
E
C
A
D
2.
2. R, S, and T are collinear. S is between R and
T. RS = 2w + 1, ST = w – 1, and RT = 18. Solve
for w. Then determine the length of segment RS.
3.
3. Find the distance between points A & B is A is
(-3, 4) and B is (4, -2).
4.