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Use trapezoid TUVW with median XY for problems IS-17.
~t.. IS. IDLV
T ~ -.1"1._ U
104
~~4 16.TU=lS,WV=33,findXY. 15+a3'?> =l\~2,..
w
~17. TU=x-12,XY=x+ IS, WV=3x-8, find x.
~ -1'1 +- 3l<o-_8 _______ - 'f.. or \5
, "'"-'i~ -l..~ ':..,_,~~ 3C>
~~. ':..50 -
v
Use isosceles trapezoid TRAP for problems 18-20.
~118. mLl 1q Iso -m-L.-6=-34
2
~ ~ 't_J 9. mL' '1 (0 ~ - 1'1 .3 mL.7=79°~-____~...,_ 20. mL3 I '-t ~ ,,3 '1 p~------------------~--~~AIn problems 21-23, if there is enough information to state that the quadrilate:al is a ~arallelogram give thereason. Write none if there is not enough information to state that the quadrilateral is a parallelogram. ,
A B21. E is the midpoint of AC and BDd\o..~oY\~\~ b\~e.c.~ eo..c,hothe~~ 0
22. L2 ~ L6 and L3 ~ L7none )on\~ 0"( (>0.\( o~ off side, \\ . D
23. L8 ~ L 4 and AD == BCOht pa\~ 0rr ~iQe~ ~ O-N\cl ,( -? 1-:1
24. The coordinates of the vertices of quadrilateral ABCD are A(-4, -2), B(-l, 3), C(4, 0), and D(l, -5).Determine whether the quadrilateral is a parallelogram, a rectangle, a rhombus, or a square. List allthat apply and, explain why you are listing the ones that you are. SHOW WORK! (A graph is not l)
.s-: ~ sufficient.) , ~ __ --;.D
m~ ~ 5} mAt, ~ - ~
In oc .•. ~. ~ '" e D'" ~'t ~ .1.~ M> ~ - ~ '\/\" 1. ?Q,,(,O--\\C!\o~ro..~ (oft> s\d@~ H) b . '. C
25. The coordinates of the vertices of quadrilateral PQRS are P(4, 4), Q(l, 2), R(2, -2), and S(5, 0).Determine whether ~he quadrilateral is a parallelogram, a rectangle, a rhombus, or a square. List allthat apply and explain why you are listing the ones that you are. SHOW WORK! (A graph is notsufficient.)
m (Jo ~ ~ ~ m~::.?> 1. ~o~J.,'( VV\ QS=- J. ~m~~ '2. , .
~'no\"· .L_ L,~ ~ ~-q 1, V~Q(t~-"f~
P R::. fi"L +1o"L:: ~.
QS =- ~z~ ,'L z: ~ 2..0
,~y-o..\\e \~fo.~(o{'f s\de~ \\)
red (); ,'<ts-\ e. - vvo.aA: I. ·S\ &.eS \1\0+ .l.-
'f'nom os - Y') 0\ o....ca V) a+- .l...
sc:uJo.. e - V\ 0 r(V\ r ....e...(.,y ~ ..,~omr;
PQ::.~;; (;3,a~ -= it t~~~=- ~ \ f----~------~--------------
~I\¥l \. ~_
\ \ vJ"" " .. \ \"" .., "'--\;).. \
\ V~·\ql ~ ~~
27. Find the coordinates of the 3 p~ssible points for the missing vertex:\ a parallelogram iftTrr1e of thevertices aret(-2, -1)~-1, 3), an~4, 1). J~
00\"'" a, ~-- -So\", - ".3 "1..-8-'" - ~ :..~-- "
~~ 2. z..
<. ~.-~}(-~~ \)
l5.5)
. .'-
..
•..
' ...•.....•..
28. Given ABeD is a kite and mLBCD=50°mL2=40°ED=6
find mL8= 50.mLADC= loS-BD=--l..l-
•• lA+b+C~~~
29. 8ABC has midpoints D, E, and F. If the perimeter of A.,..~:'. ~~ ....,
~DEF is 23, then find the perimeter of 8ABC.
Find: mL1 = I _~ \20-,
mL2=~
mL3 = '2.'0
mL4~~
30. KITE is a kite. M, N, 0, and P are midpoints.mLKMN=30mLKIT = 100
T
~31. OE is an isosceles trapezoid. T, R, A, and P are midpoints10 = 12 .mLRJT = 75° and mLSRA = 40°
Find: mL1= 3SmL2= 10
~6.mL3=
RA= (p
AP=(p
E
i
\
(Of-C)
E.c.,o)
( -a,o)
@ G~"eYl : Sq.-va.re FG, H-.l.""Prove: F lot .L G .L