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Geometry
MID-TERM llE¥1[EW {Chapter 1 & 2)
PERIOD:
1)
R, S, and T are cotlinear. (T!F)
2)
P, Q, R, and S are coplanar. (T/F)
3)
contains P; (T/F)
4)
and e intersect. (T/F)
5)
DATE:
R, Q, and T are coplanar. (~/F)
6)
Name the intersection old and :ff
7)
Name the intersection of 9g and N
Use this figure for 8.& 9.
8)
9)
Find x and AB ifAB = 5x, AC = x + 6 and CB = 22.
11)
The coordinate.s of Segment LM are L(3, 4) and M(-12, -2). Find the length of I.,M and
find the midpoint Of LM.
G~ven that segment PQ has one e~d, point at P(-5, 1) and its midpoint at M(1, -1), find the
coordinates of the other endpoint, Q."Show all work.
"
a) Sketch: Line n intersects plane CD at point P.
c) AB bisects ~-~ at P
b) Sketch: PH ± PV
d) BD bisects ZABC
Sketch: ZABC and ~-CBD form a linear pair.
E
H
W¯
21)
If ME bisects LKMQ, mLEMQ = 3x 2 ,
mLKME = 4x - 15°, find x and mLK3/IQ.
E
22)
IfmLFMA=3x 7 andmZ.KME=5x-8, findx.
23)
IfmLKME = 2x+ 8° andmLg34J=x-2°, findx.
24)
If mLETv!F = 140°, mLEMQ = 6x + 10°, and mLQMF = 2x - 14°,
find x and mZ~lQ.
25) Write the (~onverse, 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 tm~ or false.
If false, give a counterexample.
Conditional: If two angles are complementary, then neither of the two angles is obtuse
Chapters 12 4
Complete the sentence with always, sometimes, or never. Draw sketches to help you!
1)
If a ray divides an angle into two acute angles, then it _,50tn;--~-~-5 bisects the
original angle¯
2)
If two adjacent congruent angles have measures of 2x + 40 and 3x + 15, then each is
~O~-;~v~ a right angle.
3)
If two angles form a linear’pair, then they are (~/h/g~/5
4)
An obtuse angle ~I b~i(Z~l~
6)
Two acute angles are
7)
Every angle 0 I~A/~t/5
8)
Two adjacent angles are
9)
Lines that do not intersect are 5~)t~’g iq ~£5 parallel.
supplementary.
has a supplement but no complement.
complementary.
has a supplement.
vertical angles.
10) If two angles and a non included side of one triangle are congruent to the corresponding
parts of another triangle, then the triangles are O Iv~C~q~
congruent.
11) IfB is between A and C, then AB and CB are 60t~-itr~5
opposite rays.
12) ff XY = YZ and YZ = XZ, then XY and XZ are 0 ~,~bct5
congruent.
13) The vertices of a triangle are
Vlgzr~(--
14) Two intersecting lines are __ !)/{~/£q5
collinear.
coplanar.
15) The converse of a tree statement is .~O’~£:r~r,~.~5
tree.
Geometry
NAME:
1VflDTERM REVIEW (Chapter 3)
.PERIOD:
DATE:
Directions: Your Midterm is 3 weeks away! Use your notes to help you review Chapter 3 and
Coordinate Geometry. You will need the midpoint formula, distance formula, slope formula,
and possibly point slope form of an equation.
1) Using the figure at the fight, identify
a)
aitemate exterior angles
b) alternate interior angle
9
3
5
corresponding angles ~
d) consecutive interior angles
7
e) vertical angles Ii ~ o¢
f) adjacent angles
g) linear pair
3) Find x if ill m in the figure below.
4) Ifa[lb, andm/_l = 8x+36 andm/_.2=4x+24, findx andthem~_l and m/_2.
a
8x + 36/
b
4x + 24° /
/
5) Find x.
Midterm Exam Review- Coordinate Geometry
1)
For the line containing points A (-3, 5) and B (1, 2), determine:
a) Coordinates of the midpoint of AB
b) AB (length of AB / distance between A
and B)
c) ~e slope of AB
d) The equation of the line in slope
intercept form (y = mx + b’
e) The slope of a line parallel to AB
2)
f) The slope o~erpendicular toAB
For the. line containing points A (4, -6) and B (2, -2), determine:~
a) Coordinates of the midpoint of AB
b) AB (length Of AB / distance between
A and B)
.~.~.~____._~---~ q~
c) ~e slope of AB
d) The equation of the line in slope
intercept form (y = mx + b)
e) The slope of a line parallel to AB
0 ~e slope of a line pe~endic~lar to
AB .~ ............ ~
Geometry
NAME:
MID-TERM REVIEW (Chapter
PERIOD:
DATE:
Findx and CLASSIFY the following triangles as RIGHT, ACUTE, or OBTUSE based on the
notation and dimensions showt~ NOTE: Figures not drawn to scala
Solve for the indicated variables. Show all work!
6) Classify the following triangle.
ACAR, 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 Mangle congruency postulate or theorem
used. If you carmot prove triangles are congruent, write "can’t prove."
~
a)
b)
L
Q
Geometry
Name:
MIDTERM REVIEW: 5.5 and 9.3 Period:
Date:
Trian le~ualities and the Converse of the P ha orean Theorem
Write ALWAYS, SOMETIMEs, or NEVER to complete each statement.
The side opposite an 80° is
a 50° angle.
longer than the side opposite
The third side of a triangle is
other two sides.
¯ equal to the sum of the
II. Write ~the correct answer for each question on the line provided.
Which of the following could not be the measure of the third side of a
triangle that has two sides that measure 27 and 43 units?
In aLUV, LU = 16, UV = 11, and LV = 7. The largest angle is
A) ~_L
B) LU
C) LV
~-~
D) /-E ~
III. Answer the following questions. Write your answers on the lines provided.
5) Is it possible for a triangle to have sides with the following engths~
Write Yes or No on the line provided.
a) 6,13,19
6)
b)
25,8~21 ~
If two sides of a triangle measure 39 and 24 units, then the measure of the fhird
side is between ~ and /~~-~
~ 7~
A
units.
For the triangle shown, list the sides in order from shortest
to longest.
R
D
I
ASUN has a perimeter of 54 units and~SU = 3x + 5,
UN = 4x - 10, and SN = 3x - 1. Find x and list the
an_q_n /es iN order from least to greatest.
9) Using the figure shown, answer the following questions.
a)
Name the ~ongest segment in AROS.
b)
Name the shortest segment in ARES.
c)
Name the shortest segment in the figure.
R
O
~
E
Given that a triangle has the given side lengths, classify the triangle as acute,
obtuse, or right.
a)
12, 19, 14
b)
2