Name: - ~- (,=-----,11---- Class: ______ _ Date: ___ _ ID: C

} onors Geometry Quiz 1.1-1.6 (no 1.2) ·f2_e,vi' e,,,,J

I. _.6,_ two points are collinear. X-® A. No (:::;.. ·

@ Any C. Sometimes "'\J ,

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2. If EF = 4x-17, FG = 3x-8 , andEG = 24, find the values of x, EF, and FG. The drawing is not to sc~e. Y------, €f;.: y(7)-17

E 4x-ll F sx-<f?v O . - . . Y)C"-17-t-3x-CZ:7-2Y '"' ·9.·~ r-e:,-..3(1)-'6' ........... -~ -, , ----

7-x~:;).~~;l't ~ 7 , fG-: r3 - +.1:5 -

3. If T is the midpo..i.D!, of SU, what are ST, TU, and SU? >f ~1~" ·x = 7 _

S T U ~?): '..> . . . 9x 5x+28 ~:s(1)~i~

-is )<. - 'f2,- ~~eoj] 4 '1C.. -=- s-v~-5,..,,v~

.f.'" IfmLAOC = f l 0 , m£BOC=2x+10, and~ mLAOB = 4x-15, find the degree measure of LBOC and LAOB. The diagram is not to scale.

0

1~\ ;o)

4x-15 f-:2-,..t-[O 3 \ -~-vv> lox-S-:::3 \

+ 5 +-S (p 'f- 3~ --r;;- (o

X -:. t;, Boe~;)_( ) .. IO

tv1 LBo C-=- ;;i:t -1'5

5. If EG = 10, and point ay between E and G, find the value FG. The drawing is not to scale.

E. 'X.\x:F. t'l )C,\)C~ - I l i

, _, ;_:_-~:·:::::_:_·)-_~•_:~.--·_:_._:,: __ f_Jz:~ .,_: __ -_·_<o:_.Y•_·_·:_· :_

~- •:---;.- -~ -··'.·-·;·--~--i ·---; - ' c-· ... , .... : .. ... . .. ·. - .;...

li) 5 :: ,~)'z_(-i..) (z)5 ::. 7 " (z.) l<> ;. ,+~~...ft3 ~1Cz. x=-3~k ,,,, 3::.. y2,

7 .-JM{~,5) is the midpoint of RS. The coordinates J of S are (7, 7). What are the coordinates of R?

{ {Z.. '.:- ( 3 / 3)) , )(~ 8 . Find the distance between 01nts P 2°" and Q(8,

") to the nearest tenth~- 'lCz. -Y. , )2..,...( yz..- Y, \) J (?>' -1. 1~ ( g---:l.)l_ J l 2- f I ~,.._~-:;:. g-: 5-,$_) 9 . Based on the pattern, what are the next two

terms .. t\e-1eglt~eJ-t-<- s "'--<---.., -=..., r·::n~ 1¾1h.~7 -~ .i. .i 74'16 ' 64'256 ' ··· \oZ.tt <.tD<t

...7)-......'l-......n \...)"{' \... J> )('f ~'I 'IC"{ ~ 4 x9

l O. What conjecture can you make about the twentieth term in the pattern~, B, A, C? repe.,-,, tvet-j 4rl\~ _i _f ; " 7 i '20;:'t 1<5 r

11 . Alfred is practicing typing. The first time he tested himself, he could type 3 4 words per wr,.,. minute. After practicing for a week, he could

8 words per minute. After two weeks he could type 42 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice.

Wce-k- C \ 2- '-\ , WPM '3'i ) O l{1., l{(.. ~C) l

I \JJ ...Jl ~I.\ -t-L\ ..-'-{ ....-l\ \50 wo-re{s re.r ~''"-~

Name:

J_;s f''"W~--S' 12 . What is a counterexample for the conj ecture?

~onjecture: The product of two positive numbers l:=:J 1s greater than the sum of the two numbers. A. There is no counterexample. The conjecture

is true. B. 3 and 5 '3 )c '5 3-t-5

@ 2 and 2 d- -x';l i> J..--;2 X b ,.s P" ve.! D. A counterexample exists, but it is not shown

above.

13 . What is a counterexample for the conjecture? Conjecture: Any number that is divisible by 4 is also divisible by 8 . @

\~.!;- ~;:\.SX 14. Write this statement as a conditional in if-then

form: ave threes ·

J:~ As ~ ts o.. 1.t,-,-k,".' I{ s~j;S'. 15 . When a conditiona and its converse are true, you '

@ can combine them as a true __ . A. unconditional B. counterexample C. hypothesis @ biconditional

,/°'-t~ ,,~•· J 8 . he conclusion of the following conditional?

(~) A number is divisible b 2 if the number is even.

·{ " r t.9"'<-\ (>.J J.- '1 \ ,J ''f"\O"I'-.. d +(.\A '"f rvL u 'e-» ,, \.-. -ff_.. ' ID: C

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16. Determine whether the conditional and its ) converse are both true. If both are true, comb. __

em as a biconditional. If either is false, give a counterexample. If an angle is a right angle, its measure is 90 .T rvt If an angle measure is 90, the angle is a right Trvc. angle. A. Both statements are true. The measure of

angle is 90 if (and only if) it is not a right angle.

B. One statement is false. If an angle measure is 90, the angle may be a vertical angle. @ Both statements are true. An angle is a right angle if (and only if) its measure is 90.

D. One statement is false. If an angle is a right angle, its measure may be 180.

17. Write the two conditional statements that make up the following biconditional. I drink ·uice if (and onl i it is breakfast time.

:f_t- --c Jr-,"1 k- .:>,.de.~, +--k,.., ,+-1s lo re;, k-¾s -1- +-i .-( •

;;2. )J: f. ,' tt lo~k- ~s-1-- +.·~ 1 +-~ T Jn n k- ~" ,'c.e . )

19. Write the converse of the statement. If the c<2_nverse is true! write true; if not true, provide a counterexample. e.,~ck~v'\.~ e ~, i ~t. ".! q ,,.,_cR_ CM<: VJ i Or,

~fx = S, then~ ~,r· lffrv_ .

:Cf y2 ;.25, x~5, X -:: -5 (-5 )?.. __ ,') 5

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