Download MID-TERM REVIEW (Chapter 3) PERIOD: DATE

Geometry
NAME:
MID-TERM REVIEW (Chapter 1 & 2)
PERIOD:
1)
R, S, and T are collinear. (T/F)
2)
P, Q, R, and S are coplanar. (T/F)
3)
d contains P. (T/F)
4)
d and e intersect. (T/F)
5)
R, Q, and T are coplanar. (T/F)
DATE:
M
•P
6)
Name the intersection of d and N
7)
Name the intersection of M and N
Use this figure for 8 & 9.
A
e
d
C
•
•S
•R
N
•Q
•T
B
8)
Find AC if AB = 17 and CB = 4.
9)
Find x and AB if AB = 5x, AC = x + 6 and CB = 22.
10)
Simplify:
11)
The coordinates of Segment LM are L(3, 4) and M(-12, -2). Find the length of LM and
find the midpoint of LM.
12)
Given that segment PQ has one endpoint at P(–5, 1) and its midpoint at M(1, –1), find the
coordinates of the other endpoint, Q. Show all work.
13)
a) Sketch: Line n intersects plane D at point P.
c) AB bisects CD at P
14)
Sketch: ABC and CBD form a linear pair.
112
PH  PV
b) Sketch:
d) BD bisects ABC
W
I
E
15)
mWDI
16)
mIDT
17)
mBDI
18)
mHDE
20
B
D
H
15
C
T
19)
J
If ME bisects KMQ, mEMQ = 3x + 2,
K
mKME = 4x – 15, find x and mKMQ.
A

20)
If mFMA = 3x + 7 and mKME = 5x – 8, find x.
21)
If mKME = 2x + 8 and mKMJ = x – 2, find x.
22)
If mEMF = 140, mEMQ = 6x + 10, and mQMF = 2x – 14,
find x and mEMQ.
M
F

Q
REASONING
23) If you are using several examples or data points to notice patterns or consistencies and form a
conjecture, you are using ________________________ reasoning.
24) If you are using rules to draw conclusions, you are using ________________________
reasoning.
25) Write the Converse, Inverse, and the Contrapositive of the following conditional.
Write your answers in If-Then form, and answer whether each of them is True or False
Conditional: If two angles form a linear pair, they are adjacent.
26) Write the converse of the given conditional. State whether the converse is true or false.
If false, give a counterexample.
Conditional: If two angles are complementary, then neither of the two angles is obtuse.
E

Geometry
NAME:
MID-TERM REVIEW (Chapter 3)
PERIOD:
DATE:
1) Using the figure at the right, identify a pair of each of the following angles.
a) alternate exterior angles
b) alternate interior angle
3
5
c) corresponding angles
d) consecutive interior angles
7
1
e) vertical angles
4
6
8
2
f) adjacent angles
g) linear pair
2) Identify which pair of segments, if any, would be parallel if you are given the following
information.
a)
b)
c)
4  5
1  3
m1  m5  m6  180
A
B
2
4
3
1
5
3) Find x if l║m in the figure below.
4x + 28º
l
m
7x - 14º
6
C
D
4) If a║b, and m  1 = 8x + 36 and m  2 = 4x + 24, find x and the m  1 and m  2.
a
8x + 36º
4x + 24º
b
5) Find x.
141º
x
28º
Use the graph below to answer questions 6-11.
6) What ordered pair names point A?
7) What is the length of
●D
BD ?
8) What are the coordinates of the midpoint of
9) What is the slope of
●C
CD ?
●
AC ?
10) What is the slope of any line parallel to
B
●A
BD ?
11) What is the slope of any line perpendicular to
AB ?
Geometry
NAME:
MID-TERM REVIEW (Chapter 4)
PERIOD:
DATE:
Find x and CLASSIFY the following triangles as RIGHT, ACUTE, or OBTUSE based on the
notation and dimensions shown. NOTE: Figures not drawn to scale.
1)
2)
3)
18x
36
10x+3
12x
3x+5
48
3x+12
15x
x
x=
x=
x=
Solve for the indicated variables. Show all work!
4)
x = _________
5)
x = _________
135
x
58
x
6) Classify the following triangle.
CAR, with vertices C(–1, 3), A(2, 4), and R(4, –2).
Find the length of each side and the slope of each side.
Then classify the triangle by sides and include whether it is a right triangle or not.
7) Complete the congruency statement and state the triangle congruency postulate or theorem
used. If you cannot prove triangles are congruent, write “can’t prove.”
a)
b)
H
HGP  __________
M
E
by ______________
by ______________
L
P
G
Q
MEL  __________
K
Complete the sentence with always, sometimes, or never.
1)
If a ray divides an angle into two acute angles, then it ________________bisects the
original angle.
2)
If two adjacent congruent angles have measures of 2x + 40 and 3x + 15, then each is
________________ a right angle.
3)
If two angles form a linear pair, then they are ________________ supplementary.
4)
An obtuse angle ________________has a supplement but no complement.
5)
If an angle is acute, then the complement of the supplement is ________________ an
obtuse angle.
6)
Two acute angles are ________________ complementary.
7)
Every angle ________________ has a supplement.
8)
Two adjacent angles are _______________vertical angles.
9)
Lines that do not intersect are ______________ parallel.
10) An altitude of a triangle ________________lies in the interior of a triangle.
11) If two angles and a non included side of one triangle are congruent to the corresponding
parts of another triangle, then the triangles are _________________ congruent.
12) If B is between A and C, then AB and CB are ________________ opposite rays.
13) If XY = YZ and YZ = XZ, then XY and XZ are _______________congruent.
14) The vertices of a triangle are ________________ collinear.
15) Two intersecting lines are ________________ coplanar.
16) The converse of a true statement is _______________ true.
17) If a median of a triangle is also an altitude of the triangle, then the triangle is
______________ isosceles.
18) If P is equidistant from R and S, then P ________________ lies on the perpendicular of
RS.
19) If  1 is a supplement of  2 and  2 is a supplement of
______________ a supplement of  3.
 3, then  1 is