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Geometry
MID-TERM REVIEW (Chapter 1 & 2)
PERIOD:
1)
R, S, and T are co!linear. (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)
DATE:
R, Q, and T are coplanar. (T!F)
6)
Name the intersection of d and Y¢
7)
Name the intersection of 9~ and N
Use this figure for 8 & 9.
8)
FindACifAB=17andCB=4. 7~~ ~. [’2~
9)
Find x and AB ifAB = 5x, AC = x + 6 and CB = 22.
11)
The coordinates of Segment LM are L(3, 4) and M(-12, -2). Find the length of I~M and
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: Linenintersectsplane©atpointP. b) Sketch: PH.I_PV
c) AB bisects CD at P
14)
Sketch: ZABC and Z.CBD form a linear pair.
15
m/_WDI [~o
d) BD bisects ZABC
16
17
18
REASONING
19) If you are using several examples or data points to notice patterns or consistencies and form a
conjecture, you are using i ~q~[A ~’ ~/~
reasoning.
20) If you are using rules to draw conclusions, you are using 4~-t~ ~4~" g~
reasoning.
21)
If’~ bisect~ / KMQ~ m/_EMQ = 3x + 2°,
mLKME = 4x - 15°, findx and m/KMQ.
A
22)
Ifm/_FMA = 3x + 7° and mAKME = 5x - 8, findx.
23)
If m/_KME = 2x + 8~ and m/_~J= x - 2°, find x.
24)
Ifm/-EMF= 140°, m/-EMQ = 6x + 10°, and m/QMF = 2x - 14°,
find x and m/_EMQ.
E
tQ
25) Write the Converse, Inverse, and the Contrapositive of the fol!owing conditiona!
Write your answers in~n form, a~d answer whether each of them is True or False
Conditiona!: If two angles form a linear pair, they are adjacent.
26) Write the converse of the given conditional. State whether the converse is tree or false.
If false, give a counterexample.
Conditional: If two angles are complementary, then neither of the two angles is obtuse
Chapter~ 1- 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, ~OyJ4~?~/~~bisects the
original angle.
2)
If two adjacent congruent angies have measures of2x + ~0 and 3x + 15, then each is
a right angle, o~, X4- ~/o = ~ x-~, ~.@[ IK/A4,] ~
3)
If two angles form a lindar pair, then they are ~ [ ~,~ d.~ .~" _ supplementary.
4)
An obtuse angle _ i~.[/¢d d~ ¢ has a supplement but no complement.
6)
Two acute angles are ~q~ ~’~7~ ~ complementary.
7)
Every angle 7Z~ [~U~5 has a supplement.
8)
Two adjacent angles are ~d ~
9)
Lines that do not intersect are ~0tq’l~.,~’~Y/d parallel. ~ ~~-~-~ I~~’~ ~
.vertical angles.
10) If two angles and a non included side of one triangle are congruent to the corresponding
congruent, flag
parts of another triangle, then the triangles are
i1) If B is between A and C, then A~ and CB are ,
opposite rays,~
12) IfXY = YZ and ,YZ = XZ, then XY and XZ are ,v~ 1 t,~) ~’q ~- congruent.
~) The vertices of a triangle are Y1 ~ I,~r~
collinear.
~4) Two intersecting lines are 4( ~ ~t!f coplanar.
~5) The converse of a true statement is @ O~,.~,~v’4.~J true.
Geometry
NAME:
M1DTERM 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 right, identify a pair of each of the following angles.
a) alternate exterior angles ~ I i,uE/- @ ) Z 2- ’~° g~ 3
/"
b) alternate interior angle Z q
/
3/4
c) co~esponding angles ~ ~
d) consecutive interior angles
e) ve~ical angles
adjacent angles
7 /8
’
linear pair Z~ + ~.~
3) Find x if¢ll m in the figure below.
= 8x + 36 and m ~. 2 = 4x + 24, find x and the m ~. 1 and m L. 2.
a
8x + 36/
b
4Xi
5) Find x.
Midterm Exam R?view - Cqordinate Geometry
!)
2)
For the line containing points A (-3, 5) and B (1, 2), determine:
a) Coordinates oftlae midpoint of AB
b) AB (length of AB / distance between A
and B)
c) The slope of AB
d) The equation of the line in slope
intercept form (y =mx + b)
e) The slope of a line parallel to A--~
f) The slope of a line perpendicular to,
AB
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)
c) The 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
f) The slope of a line perpendicular to
AB