Logan-Magnolia High SchoolBlank Score Sheet

Subject : GEoMETRYPeriod : 2

Teacher : MS.J.TENTINGERTerm : Qtr 1

Date :

Student

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Logan-Magnolia High SchoolBlank Score Sheet

Subject : GEoMETRYPeriod :7

Teacher : MS.J.TENTINGERTerm : Qtr l

Date :

Student tq4!

f li'7f t 7q i sS | 2-b i i 23,ti q t i I u&

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ieis i 71 ith i tt itL i tGL r?lr r ] l . f , 1 r f rL t t3 |

i ' \?- i ,Aq i g t 1o i i lb,{ i , i ,e i r_\ t ,3 ti ' r lg in i f l iTI i inr iw i3 i ,7 i ; i lbi?f i tpr lAthl ly , f iLot f tTlSl?F

3,PtA.f t?D I rLf I r f r f r f I

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Name: +s ID: A

25. What is the slope of the line shown?

2+1-a*tl

V, whatis,7- gthe graph of y: -f,* - zt

9

\\

-12=lo-8 u a 2z

/\

Name:

27. Write an equation in slope-intercept form of the line through point P(6, -1) with slope 4.

\i \ =_.1 (xl u) \: t-l lx-toh \= 4{-3ti;l28. write "" "Jr.lk'"ffi" r",* "rthe line throuen poffi

-{: -ilt*+l)

30.

for the line that passes through points (6, 10) and (5, 8)?

f =S \

33 . Which two lines are parallel? (Show your work, if you just circle fwo answers it will be counted wrong)

31. Write the equation for the horizontal line that contains point G(3,4).

\...*,=tPtu,4)32. Is the line through points P(3, -5) and Q(l ,4) parallel to the line through points R(- 1, 1 ) and ̂S(3, -3)?

Explain. , +, , t hln lrrrzyr.rr rxrs +{A* {},WtS[A_tft tr"-*-3 t*Z 4- /V0, bec*,tl*'{ +fu #'flts[A$iZ*l e * li3 -T \nhur,\* L-g'uA ** bx' "{4n"t- I Snrn$ {' *-}rcq -{""1 Y{- rli}h

,\n {nU.}., {r*# ?},e*k Fontu}I. 5y:2x-5I I . 5y :4 +3xru. 5y -3x = - l

(e 14)

$*

VffiY

-t'

nbrKu&

b{ \ }."bh d'n t HfS 'ro clo tYI34. What is the equation in point-slope form for the line parallelto y:5x- 4 that contains P(-6, 1)?

)-- 4(xtfu) "\

ID: A

i -2,*l soga'* t\ r , - l

_}yiZD+l\-l= bLX+{.s}

TD: AName:

@ The slopes have Product 1.C. The slopes have Product -1.D. One of the sloPes must be 0.

37 . What is an efion in point-slope form for the line perpendicular to y:2x + 13 that contains (8' -4X

\trl-@It-f) \ =? (x-r)-Ll Y =4Fltttt$'l F--/\ v= Jx

'o38. Are the lines y : -x - 2 and 4x i 4y:16 perpendicular? Explain' , rqe\ rbtto;rse-zWiev{ no \deo-L,/ ,?/

39. Acarpenter cut the top section of window frame with a 42" angle on each end. The side pieces each havea 47" angle cut at theii top end, as shown. Will the side pieces of the frame be parallel? Explain. Diagramnottoscale. A r , - - - nNo @Ys$)st in o@ tur

*tr.Lyn 6 Ue Fo*t\$ €*tcttI bY,n(r \na: -tn vJtlnrnpltrrwrrtilvq

11

Narnr

2. Is the line through points P(-8, -4) and Qes, -5) parallel to the line through points R(-4,4) and

nrclass:& Date: l \ - } f f - l \

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ID: A

1-lG

S(4, -3)? Explain.-4+% I

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6. Is the line through points P(2, 6) afi QQ\, 12) perpendicular to the line through points R(-8, - 1) and

q;o=*(x: r)S(-2,-H Explain.u-r?-:Y -afi"D f (.-rl4+q --I-r+; --b

.l4-4J

-IZ=IA-B)414, , , , , . . ' .^ ' , i . - ,

ek'L

Name:

rID: A

7. What must be true about the slopes of two perpendicular lines, neither of which is vertical?A. The slopes are equal..B. The slopes have product 1.R, The slopes have product -1.D. One of the slopes must be 0.

Write the equation for the vertical line that contains point E(l0, -5).8.

--(

10. Write an equation in slope-intercept forrn-of the line through poirrt P(-2,9) with slope 2.

\ : lb

t ; II

-t' II

13. Write the equation for the horizontal line that contains point G(8, 10).

V-lD

Name: ID: A

1.4. A carpenter cut the top section of window frame with a 32' angle on each end. The side pieces each havea54" angle cut at their top end, as shown. Will the side pieces of the frame be parallel? Explain. Diagram""!1"""'" rt # NU kmn5x \\"\ oYde)(

Wer+urn +D bt6viniffii?fr!' ft \\e\'*fift_-tt nel'j I

1r *r-lhrw{phry\\ht ryryn*

not to scale.

What is the graph of y:3x + 4?

+v7 ID: AName:a:

25. What is the slope of the line shown?

2 4 6i8

What is the graph of y = -]x - 2?

c-l+tt*

i i

9

Name:

27. Write an equation in slope-intercept form\ -A v- - r , "

28. Write an equation in

of through point P(6, -1) with slope 4.

point J(-7,8) with slope -2.

the linet

[ - [t \

y \ . t *7TYu

' h'rn;r';;;,

32. Is the line through poi :5) and QQ,4) parallel to theExplain.

5tL\line through points R(-1,

$ -a'"r{ TJ'*:-*?H

*'f S *-F

-j

34. What is the equation in point-slope form for the line parallel to y:5x - 4 that contains P(-6, 1)?

ri -&*.ffK+])29. What is an equation for the line that (6, 10) and (5, B)?

30.

--\

31. Write the equation ktifn;;;;;;l fine that contains point G(3,4).

- \

ID: A

1) and S(3,

lk ;q')* tFT

t*__ - r..-fraraftaf@ow Voui woik, if you just circle two,answers it Y+'s counted wrong)two lines are parallel'/ (ShoW your worK, U youJuST crcle lwo,answers lL Yg_?q uuuflLvu wruuBrf

r sy=zi-s T.{r , -zx> _l i fs-#_: iX"N 5r} -3n.$rr. 5y=4+3x ' ' ?

'T *: =# -l*s_=*_. r , ,,., lJrrr. 5y-3x:-1 ?; = d . r 'tJ ,=*f,--l e;tr=,adt*l' , - , j : * - iY ' =- *- j i : * ,

rf {n+{o)10 /3

Name: ID: A

line through points R(l0, -1) and\rd- t - r '$ _i ] . " t-T: ; If{}-ft *1; i

3 5 . Is the line through points P(-3, -2) and QQ, 3) perpendicular to the

^s(t s, -6X Explain. &tL tS 1C-IL LO I"ffi;ffi";J

B. The slopes have Product 1.A The slopes have Product -1.

(P.) One of the slopes must be 0.

37. What is an equation in Point-sl"****.F

form for t

\l+'l : K-s

neither of which is vertical?

icular to y:2x + i3 that contains (8, -4X

38.

glamThe side pieces each

parallel? Explain. Diaeach end.frame be

39.

g

N*, Wr*lr* \,.,rb'Ytr\ L$#i,hL,:,#q1*/ji = ft'ti frr,i,{ r'* #f,f ':;"bfrYffil\r [ 1'v t *''lt*,fl'-{*,:*

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fF

qc{Jt3

c,lf'#

f* n{iftr{mt*u$

ftLtiq{f,L f ir'f r-4"' j \ {

,ttWfltu_F-kA. The slopes are equal.

Are the lines y : -x - 2

A carpenter cut the toPa 47" angle cut at theirnot to scale.

410

^+*.4*.a&*+a_ I

.a , , , l l t " t+.T*il I r \N$Et t f t f ! fi i t f i l I rs s t r l {' ! vtJ i ( '

/\

and.4x * 4y: ,u nffin)^r? Explain.l*r{::L{ -x / fj,Ju,'m\ kr

section of window frammtop end, as shown. Will the side pieces of the

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Geometry Chapter 3 Test Retake: Finding Slope and Writing Equations

1. What is the slope of the line shown?

r- lJ!

l$+B J:*%--## *

t Fn

S+r - 1u

3. Are the lines y : -x t 10 and 5x * 5Y:25

n+. What i

5. Write

6. Is theS(-2, -9)? Explain.

the line through point -I(1, -10) with slope -3.

-12JA -:18 4;-4

Is the line through points P(-8, -4) and Qes, -5) parallel to the line through points R(-4,4) and,S(4, -3)? Explain. , r + ,.-. I Ll&Tr_ I

*1 j }*"-J- - r r ' ' ;-'*rr \ 'l*i{ $j

/ ^o i l r r ,^ . - i r ,Ni- . : ' . r ' r \ ; "^. i r r l / r " I n"*$ - t ! ! !f \\n -t t yt ,){L}1*r"{:: L}.Y t 1 "'1Yt L lf L{i;rl { '*.'1 ''! t t' j

s the equation in point"*i**FFr

--.t

tl"t$ - 3[x+q) \a

lin

nf-c-1. r -

K;-il \!+[4.through points PI'Z, 6) ant (

F*

Name: ID: A

7 . What must be true about the slopes of two perpendicular lines, neither of which is vertical?

,A The slopes are equal.\e.) fne slopes have product 1.

C: The slopes have product -1.D. One of the slopes must be 0.

8. Write the equation for the vertical line that c"onllEins point E(10,-5)-

ffin*trfitd line perpendicular to y: -5x * 9 that contains (8, 9X

r . zy: -4-3II . 3y: -5 -brr or;L:r;{ 9\ --i'F '1

1

12. What is an equation for the line that paises t

w-\

tl -q ' }ldx-ffi\

and (1, 10)?

-bi&.sL',-s"TT t - .4 E13. Write the equation for the horizontal line that conta

'- Name: ID: A

14. Acarpenter cut the top section of window frame with a 32" al.tgle on each end. The side pieces each havea 54" utgle cut at their top end, as shown. Will the side pieces of the fraqre be parallel? Explain. Diagramnot to scale.

5Ll% lhukcmnmn-ttwvKf#

/\

Name: tYt lthtrouv No\t' g ID: A

25. What is the slope oftzl0864

q t -Q-,-Fa

^-b

line shown? t tE\t*(o

*, \

ID: AName:

Write an equation in slope-intercept form of the.line-through point P(6, -l) with slope 4.* lxI

Write an equation in point-slope form-of the line thrrySh point J(-7,8) with slope -2.

'a l29. what is an equation forthe linethatpasses through points (6, 10)and(5,8)?

lo-^ 7-6; = i 'z \\

Write the equation for the vertical line that contains point E(9,-7). ,/r_# ! : ^y 'r-1 _l( - l

-q/

*-a x.-E/

G;-'-:l'b | -2K-t

What is the equation in point-slope form the line parallel to y:5x- 4lhat contains P(-6, 1)?

I-t ,5 x **Lx o*) y - I4-+(x.+r")

,7/

S *tn" the equation for the horizontal line that contains point G(3, 4).

y =gsr - \32 . Is the line through points P(3 , -5) and Q(I ,4) parallel to the line through points R(- 1 , 1 ) and ̂ 9(3 , -3)?

Explain. l * -? = - t-T; -L - t3 -+

N0 , i+Lt don,*havt thl 5ar**gaioE*'3 '

Which two lines are parallel? (Show your work, if you just circle two answers it will be counted wrong)nOY 5Y =2x-5F-sY = 4 +3xlIL 5y-3x: - l

5f*3x= - l- 9p -sy

5 Y- 'z<-6f 5- r5-= 4 *?x

ff$+ 1-'h tl'lr{,

V!* + Lql0

-rt \

-'*

ID: AName:

3 5. Is the line through points p(-3, -2) and QQ, 3) perpendicular to the line through points R(1 0, - 1) ands(15,-6)?nxpuin. -2--3 -5 | - l t - (" 5 -- t

Y.r ,of fo(, ' l r A- 'T =+

6---g iftcJgrotal ! '

-? - |

-+

rw

^fhrr h"

A carpenter cut the top section of window frame with a 42" angle on each end. The side pieces each have

a 47" angle cut at their top end, as shown. Will the side pieces of the frame be parallel? Explain. Diagram

not to scale.

I dont Know.Atb *strtdrt*tff"

C 36. What must be true about the slopes of two perpendicular lines, neither of which is vertical?A. The slopes are equal.B. The slopes have Product 1.

@ ft" slopes have Product -1.D. One of the slopes must be 0.

What is an equation in point-slope fonn for the line perpendicularYnt :Zxrt3{x-XyZ

x- t0+f 9 x - tot

Are the lines y : -x - 2 and 4x * 4y: 16 perpendicular? Explain'

.-L -y , + \fe5 ,- t -4

Yes, I

( , Y,:2x 1 L3 that contains (8, -4X

-4

/\

hlc,'Pra calf '

h.lr Know Nhy tho,rgh'

-7

L:z

11

Name:{rh

Class: I

Geometry Chapter 3 Test Retake: Finding Slope and Writing Equations

G+8 I*-fl-e ' '

1I

'.---t -A

2. Is the line through points P(-8, -4) and Qes, -5) parallel to the line through points RC4,4) and,S(4, -3)? E:plain.

_4+ q I-0 *E -3

1. What is the'slope of the line shown?

t43 lw-qf{0 , Srof$ #'f,.en"* $ewc"

0 Are the lines y :7* ]j

*, 5x +2:25 perpendicular? Explain.

/ \ oo t

4. What is the equation in point-slope form for the line parallel to y :3x - 6 that contains P(-4, 6)?

| - t , = 3(x*+)

5. Write an equation in point-slope form of the line through point-I(1,-10)with slope-3.

f+to z " t (x- , )

6. Is the line through points P(2, 6) and QQL, lz)perpendicular to the line through points R(-8, - 1) ands(-z,-e)? Exprain. fu_ lz _ %"_y =:\, . -"L 4f

ff i -:b - -t L '/

^*_r&.n$

- ti1*- =.yg- --+ n0 'c'# o$*ltvn'",- - j*#fe *u

- .U

Name: ID: A

-1!-_ S What must be true about the slopes of two perpendicular lines, neither of which is vertical?f A. The slopes are equal.

B. The slopes have product 1.@ m" slopes have product -1.D. One of the slopes must be 0.

8. Write the equation for the vertical line that contains point E(10, -5).har;Zoytfa,! Y =-5Verfr 'co' l 4= lO

@ ** is an equation in point-slope form for the linelerpendicular to y:-5x*9 that contains (8, 9)?rf^ ty -1=( A( ' ( -8)

' \ - /1a\

1 0. Write an equation in slope-intercept form of the line through point P(-2,9) with slope 2.

7.45F- Z-tt'

-s\G< Which two lines are parallel? (Show your work, if you just circle two answers it will be counted wrong)

3Y= -7x - vf} l , *3 x

9- 3y : -2x -3/L 3y: -5 -2x

W 4y-3x:-r

tX-s X *-l U"31tsx-*+Y "!1

-3 +3 $.n# t+,f \

'1 F]h&

12. What is an equation for the line that passes through points (-1,

4TQ Write the equation for the horizontal line that cbntains point G(8, 10).h,rax!=.t*v1{,*. x'* g

16 Y=

(.+s )

r3f +3/

- a- 1-x*$YH*653

"n"ts.y-g) and (1, lox *4 5

y-to -- 1(x- t)

y*16 =

_.6

Name: ID: A

4F\ft+) fcarpenter cut the top section of window frame with a 32" angle on each end. The side pieces each have\./ a 5 4' angle cut at their top end, as shown. Will the side pieces of the frame be parallel? Explain. Diagram

not to scale.

32'\1_

{,sculeJrn '-F &. *Jud u,y !P0

ry&-+6s lL8

What is the graph of y:3x + 4?

Y?3{ r +t

I-.-, \