Geometry Worksheet Name

Trapezoids (6_5) Date Period

L Given: rsosceles trapezoid ABCD, mLBAC = 30° and mLDBC = 85°

mLl= 30 mL5= (c>o mL ADC = (oS

mL2= 30 mL6= I~D mz; BCD= bS D C

mL3= 35 mL7= 3D mL DAB = I \ 5

mL4= ~5 mL8= g5 mLCBA= \ \ 5""

2. Given: Isosceles trapezoid JXVI, mLJVI = 42° and mLIJV = 65°

mLl=42.- mL6= ~~ mLll= 3\

mL2= ~5 mL7= 84 mL12= 4d-

mL3= 3\ mL8= qb mL JIV = 15 I

mL4= 4:;( mL9= 4~ mLIJX= 101

mL5= glf mLlO= 105

3. Given: Isosceles trapezoid JXVI, mLIXV = 83° and mLVJX = 28°

mLl= ~8 mL6= \ ~ Y mLll= 4\

mL2= g3 mL7= 510 mL12= aRmL3=

L1\mL8= \ d. '+ mL IVX = to <1-

mL4= ~~. mL9= as> mLVXJ= \ \ \

mL5= Slo mLIO= g3

4. VW is the median of a trapezoid that has bases MN and PO , with Von OM and W on PN. If thevertices of the trapezoid are M(2, 6), N(4, 6), P(10, 0), and 0(0, 0), find the coordinates of V and W.(p If' . t-\- _ (d,-+O b-tO"" ( ""\ -

'I:: mi<.\t>+ of OM :: 2: f -z: ) =- \ I '?:> }

- I Lt·HO r.,~o,,\ ( "'\.'V'J =- Y\'\\o.i>-\ 0-' t-.\ p::: "---'i" ) 2: ):. 1,"?»

o to ~-, N\tJOP

5. VW is the median of a trapezoid MNeathat has bases MN and PO, with Von PM and Won ON. IfM(5, 10), N(9 10), V(3, 7), and Well, 7), find the coordinates of P and O. 0

1(q~y l~\.l~

to" fl'1!I ~N x , (6.-±1' \~'b W -::(" "l):: - _Gi W ,,-=(3,')- 2. > ~ I 2.) 2-

1 - ~ f.:>~S+')( -\4=tc+'tr '22:q~)( l1\':.iO+'(tS ~_ 0 \-Y- \.\:'t" I?>:' X \.\-::.'t

p. ?( \ J 4) 0( \0 I4)S \0

XY is the median of tro ezoid QRST in roblems 6-11.

TS1-Q~ s: lb2 _

Ts+GR=-32.

.: .~...- "',/

6. XY=18 and TS = 7. 7. TS = n andQR = 6.Find QR. R Find XY in terms of n,

<r-« = <O+2.~QR-:.~q A\

5

8. XY=16. Find TS+QR.

R

5

Q x QQ .X

mL~':' 50

10. ST= a and QR = 2b.Find XY.X'(= a+~b

~

R

11.~X=S /a'ndmLTXY = 45.Find IT\~' tvo-kes i-\- '\ so s

inL«.:: 4-5°

5

5 Q x

In roblems 12-14. tra ezoid ABeD is isosceles. Find the variable in each.