close

Вход

Log in using OpenID

embedDownload
~
Name·~
Date: _ _ _ _ _ _ __
. ~~-G-e-om-etry-Mi-.d-te_rm_E_x_am_S_tu_d_y Guide Part 1
Chapter 1
Directions: Use the figure to the right for exercises 1-3.
1. N arne two intersecting lines. an SUJ0 S W; II
on t
pos sIb I e Grt.S LA) Q.f
:
QT'
o...nd
~
v a v 'j)
Ts)
2. Name the intersection of planes QRBA and TSRQ.
~
QIZ- OY Q R..
3. Name three non-collinear points. ansL.uerr J LU; II
Vtlr-tj , Ont po5Stbl.e. Qh5UJeJr.' A)P>;o.ncl
c
D A
B
Directions: Determine whether the statement is true or false. Explain your reasoning.
4. Two points are always collinear. lir U l!:-
/
5. Ray LM and Ray ML are the same ray.
F Q 15 .e..) t-UJ 0 ell F-f e r e.. V\ + r ct ~ s·
L
M
0
~
M
L
)'
3rv\-+ 5 =- 4 m-1 0
6. Find the value of m.
-3m
-- _3y¥~
I
3fT1 -t- 5
4.rry - 10
A
8
I
5=/rYJ-1
.
+10
C
+1
'
I 5-~ = V'Y)
e,onclrumt
J sQg~ts
J5
CA.+ Gl + 2 .=:-50
m=
7. IfXZ =50, what are XY and YZ?
2Q -t8=50
50
-8
~=Yl
I
1
y
~g
l
~
a=
Ll
; XY=
21
;YZ=
lCj
Directions: Classify each side as scalene, isosceles, or equilateral.
8b.
Sa.
8c.
Directions: Draw/write answers in the space provided. Use the proper Geometry notations
outlined in class.
9b. Draw and label plane ABC
9a. Draw and label
_XY"
fi •BJ
•>
<~
~
X
oC.
,_
10. Draw a plane containing four coplanar points A, B, C, and D, with exactly three collinear points A, B and D
,.....
11. Draw and label
JK
12. Draw and label PQ
'I< 1'
tj)
J
~
p
Q
14. A linear pair of angles using the points X, Y ,Z and
W with a common vertex of Y.
13 . Draw and label an obtuse angle whose sides are
-RQ -RS s
and
I I0°
p_
,
"
""7
Q
~~
w
LX
y
E~
2
=- +o qoo
15. An angle measures 7x -13. Its complement measures 4x + 15. Solve for x and fmd the
measure of each angle.
·
7 ( <;] ) - I 3-= Lj
·; X - I 3 -t L/ X ·+ I 5-=
-
-
L--J
II 'X~
--I
l
~p
J.i.1_=2 g
N:- -),
I
3
q0
LJ (_ S> ) + I 5 = L{ l
__2__;
X-
@)
1st Angle =
LJ 3° ;2nd Angle = LJ l
u
Directions: Classify each angle as acute, right, obtuse, or straight.
17.
16.
Directions: Use the diagram to the right for exercises 18 and 19.
18. Ifm<MQR=61 andm<MQP=25,m<PQRis
(o 1-2.5
=3 to
JLOo
0
19. Ifm<NQM = 2x + 8 and m<PQR = x + 22, xis
q ·~ LA .Q. n
5
c_on
t-1-'
2X+'8=-
i?
)~
+22
-)(
.
X=-JL/-
'X-+ . =2.2
Directions: Name a pair of each of the following using the diagram to the right for exercises 20-23.
=
21. SuJ?plementary Angles_
O.n .Swe_YJ-W i ll vetvLJ)
20. Complementary Angles
<AJJB CAhd<BOC.
·
11;.
~
OV\~_r~oss,bl~ anscde.r/ ~'--~-={'
<t OF a 11d < F DC
22. Vertical Angles
23 . Linear Pair
an_swl_~ W1ll vctr-L-J)
QttJtAJ~)·--~·
< AOE a r)cl< QIJF
£_./?<·--..~
./--
Qnsvve_r"J" v0d I vtl vvt; DnQ___
F
~
POJJlbl~ answe..~u
< £D E a nc!. <ED t:_.
one... f-JUS5lv\e.
Directions: For exercises 24 and 25, write an equation and fmd the value of x.
24.
' {3x
+ 11) 0 ~ 6j•" ""
180"
25.
3X+?>l+2-x-lo-=120
~ -l
\
--
5-x-+'L~ = I g 0
~-155
x=
31
@
--------
Chapter 2
Directions: Solve the following proofs by filling in the appropriate reason for each statement.
1. Given: B is the midpoint of AC
•
•B
A
Prove: AB
I
•C
j
Steps
1. B is the midpoint of AC
; ~·--~!? 3. ~~ -~
=BC
Reasons
I.
_____ . _ I
I V -€..XI
:oe..£.o£.-.m cJRt~--1
2. Given: AD is the bisector of
k :
A
C
Prove: m<BAD = m<.CAD
3. Given: Dis in the interior of
Steps
1. D is in the interior of <fJJAC
2. m<r:.BAD + m-4:.DA.C =m<.BAC
----~----~~~~~
<.BAC
k:
A
C
Prove: m<BAD+m<DAC=m<BAC
Srn+Sr'Y\ = b1g
Directions: Determine if the conditional is true or false.
4. If an angle is acute, then its measure is 13°.
FCl \s .Q_,)
5. If a shape has three sides, then it is a triangle. !
y- U
(1 C..,LL+
e.,
i-
C! 0 Lt l c\
-::: I+
-e_.
Directions: Name the Property ofEquality (POE) that justifies each statement. Use your
algebraic proof notes to help you.
6. 2(x + 4) = 2x + 8
.
()
D1V1J1 on
r
roc-
D1stvl btA.-h v~ t-'D[~
8. If7x = 42, then X= 6
0
9. ~TY 0.. V\J1+1 v e
JK=MN
Po[.
0
+c{ c ~ s
yCl H--t r n J
Directions: Determine whether each situation uses Inductive Reasoning or Deductive
Reasoning to solve.
10. The sun came up this morning. The sun came up the day before that. The sun came up the
day before that. Therefore, the sun comes up every day, and will come up tomorrow too.
Tnduct,ve i?HUOnln_g
11. Emily checks the weather channel. She sees that there is a warm front in the Gulf of
Mexico and cold front in Dallas. The local ra~hows the rain in Huntsville is moving
south. Emily decides not to go with Charlie because she thinks it will rain.
a
.
De d Uc& v-e
Re_cu on i rlj
Directions: Find a counterexample to show that each conjecture is false.
12. The product of any integer and 2 is greater than 2.
L. x I= 1_;
(2 15 e~uCLI
13. The city of Portland is in Oregon.
+-o 1, not- g~'eo.__t-e_ . . )
1
Pov+tGLncl, mOc..lnL IS ctiJo
I J 0 lA + J I ct ~ of Dvtg D n '
0..
c_;f-:J
QncL r+
Directions: Rewrite each sentence as a conditional statement.
inv~rse,
and contrapositive of the given conditional.
sw1f~~+ ate
16. Conditional: If a figure is a square, then it has fo~ides.
Directions: Write the converse,
Swt-kh n ~afe
Directions: Solve the following proofs by filling in the appropriate reason for each statement.
17.
=
Given: ~s 12..
Prove: X :::: 13
•-- ~±1 __ .. . __ ].g_____.
0
S
F1
41
Statements
QS=42
QR + RS = QS Sm-t Srn-= bl
(x + 3) + 2x = 42
3x+ 3 = 42
3x=39
X=13
-¥+12~~:~13
18.
Given: 3x + 12 = 8x- 18
Work:
-Prove: x= 6
5 X-I ~
+J &
-t 118
2Q ~-6~- - ~
ll_=::
5§
~
Reasons
21. Find m<BED.
3(18)+20= 7
5(i8)-lw=
22. Find m<AEB.
y=
!55
4
74-
m<AEC =
f
LJ-
0
m<AEB=
1/--pages
Пожаловаться на содержимое документа