C1€¦ · Geometry Worksheet - Kites 1. Given: ARDW is a kite mLl = 40° mLl0 = 30° AD = 10 2....
Transcript of C1€¦ · Geometry Worksheet - Kites 1. Given: ARDW is a kite mLl = 40° mLl0 = 30° AD = 10 2....
GeometryWorksheet - Kites
1. Given: ARDW is a kitemLl = 40°mLl0 = 30°AD = 10
2. Find x.x= '7
5){+gy"-\~qO\ 3~ ::"'H
4. Kite FGH-JKF= :)KJ = \e
'f.. '2 +- 37..-:.. (2:(5":/'"l..
>< -+ q -:: 4-5,')..
y.. "- ?> <c
6. AS = 16 LVI = 'C--:--::=-IT = _--:\ S-,---,-_VT=_.l~\_
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Find: mL2 = _-,-4..;:..0_' _mL3 = 50mL4 = Cj 0,mL5 = qO----'--"~mL6 = so.mL7 = 100mL8 = go,mL9 = 520mLll = C1 0mL12 = loO,MO = ----'5~"'"""
5 )c.-8'::..lt)C..+ ~
'J.. ~ \1..
35,30
5. x = -=-=-y=
6)(.-+5:: 4)( - 30?>S z, )(.
l(r ~ :;).\\ - 2D Z ., Q
~l\-::.90,-&=-30
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51
R
w\ \")( - \ 2. :: \ go
\IoP \q 2
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7. The perimeter of a kite is 66 em. The length of one of its sides is 3 em. less than twice the length ofanother. Find the length ofecch side of the kite. \ . ~
';.... ~ to ,'f. _I.:, ::: ~ (.., \ 2, \ 2. ) .,1 \ I a \ I .
f. 1o~::"2",y,.- ~ 'V '="2-.'2'f.-~ '" ,..
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Graph and label each quadrilateral with the given vertices. Then determine the most precise name for eachguadrilateral. E~plain why you chose the name you did. Show work to support the explanations.
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8. A(3,5), 8(7,6), C(6,2}, D(2,1) (1PJ :: ~.~ 0 . :-~==-='-_\--'-'-'. ---s\ope ~~ ~ s~re At. :;-Isiope.eb~ ~. . slope ~ t> ~ \
slope At> =-~ ~--blJ-, s----'}-?P p s\de5 \\
b\Dpe<?c::4 - - a\u.~.l.. x
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9. W(-1.1), X(0,2), Y(l), Z(O,-2)
5\Ope X'f ::-..- \ ~ .he-\- \\
s\ope ¥rl- ::.-4
s\ope ~ \N =- \ < hO-\- \\
S\ope"'<t::: 4- ~ .'
5lope- '" 1; ~ u~de~ } J..s\c>~e w'( =- 0
\"'~\-ct d\~d J..) W: \S b\5U-\e.d.
10. J(2,l), K(5,4), L(7,2), M(2,-3)
slope ~'K.::' i ~ l\s\ope ML; I .)
s\ e e KL -:.- I ~f ho-\- \\s\()~e 3' m =- v..Y"lc\e.~ "
11. R(-2,-3), 5(4,0), T(3,2), V(-3,-1)
\- \~ ~5 ore 'I \ ~ ~,) If tec\'a."a k o('P slde.., IIs\ope RS:: Z )...L ~ons. Sic\e.s.l..
, - \s\ore"Ro -J.- ~I/ slof~"~;:" 'i"l, notl.s\ofeTS -=-.- 2· Slor e. R.T:: \.:Y
12. N(-6,-4), p(-3,.9, Q(0,2), R(-3,5) )--VtA~i\\CL-\erJ-1
y
..,i
----~~~------x
,-' .s. ',-.~ --:N\'--"
_'.--_ X .
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13. E(-3,1), F(-7,-3), G(6,-3), H(2,1)
C;\D f Q. ~::-O ~ \\-- "~\~pe ~E:! =- 0 )
~ \0 f e. f F::" \
6\Opet\G=--\
14. 5(-4,-1), T(-1,5), U(5,2), V(2,-4) -q5 \o~e'"ST::"-2...\" " S\ot>C- \\J =- "3:: - 31' .
'I '- '3 1-\ -. :s\ooe ~ u =- ~ - ..1.
5 Doe \J ',J :.. :;).. I '1 - A\ , /l.. J
s\ooo s'-l :: --.' ~\ ~ 2 \1
s\o(xo, 'V ~ -1- .,- 2. '.
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15. K(-3,O),I(O,2), and T(3,O)are the ~;es of a kite. Which point could be the fourth vertex?A. E(O,2) B. E(O,O) ~(O,-.2) @E(O,-lO) ----c~=Hr---~ •...
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Givenpoints A, B, and C in the coordinate plane as shown, find thefourth point described below.
16. point D so that ABCDis a parallelogram.
(~IO)
17. point E so that ABECis a parallelogram.
(lcI~)
18. point F so that AFBCis a parallelogram.
(-1 l~)
19. The diagonals of quadrilateral EFGHintersect at D(-1,4). Two vertices of EFGHare E(2,7) and F(-3,5). What must be the coordinates of G and H to ensure thatEFGHis a parallelogram?