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6-Properties of Trapezoids - Kuta Software

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<strong>Kuta</strong> S<strong>of</strong>tware - Infinite Geometry Name___________________________________<br />

<strong>Properties</strong> <strong>of</strong> <strong>Trapezoids</strong><br />

Find the length <strong>of</strong> the angle indicated for each trapezoid.<br />

1)<br />

3)<br />

S<br />

C<br />

65°<br />

?<br />

R<br />

60°<br />

?<br />

D<br />

E<br />

Q<br />

P<br />

F<br />

Find the length <strong>of</strong> the diagonal indicated for each trapezoid.<br />

5) KM = 22<br />

Find JL<br />

J<br />

K L<br />

Find the length <strong>of</strong> the median <strong>of</strong> each trapezoid.<br />

7)<br />

U<br />

A<br />

V 9 W<br />

?<br />

13<br />

B<br />

X<br />

Find the lengh <strong>of</strong> the base indicated for each trapezoid.<br />

9)<br />

S<br />

D<br />

E 13 F<br />

19<br />

?<br />

T<br />

G<br />

M<br />

Date________________<br />

Period____<br />

©4 V2m091q1G JKuuXtQaQ mS7okfftLwkazrkey BLULPCf.7 6 aAIlzlD arliYgthTtVsh irReHs7eAr9vwe6dO.r f gMVaHdqeg 5wWivtAh2 4Iuncf3irnKiTtee9 1GkeEonmpedtIrRyx.x Worksheet by <strong>Kuta</strong> S<strong>of</strong>tware LLC<br />

2)<br />

4)<br />

V<br />

Y<br />

U T<br />

92°<br />

70°<br />

X<br />

6) DF = 8.7<br />

Find EG<br />

8)<br />

10)<br />

-1-<br />

P<br />

V<br />

G<br />

W<br />

G<br />

F<br />

?<br />

S<br />

?<br />

W<br />

Q 5.5<br />

R<br />

12.9<br />

?<br />

V<br />

S<br />

W 4.4 X<br />

5.5<br />

?<br />

H<br />

Y<br />

E<br />

V<br />

D


Solve for<br />

11)<br />

M<br />

x.<br />

Each figure is a trapezoid.<br />

V<br />

11 U<br />

W<br />

−x<br />

+ 21<br />

17<br />

N<br />

13) EC = 20<br />

FD = 5x<br />

− 10<br />

15)<br />

S<br />

51°<br />

R<br />

T<br />

F<br />

28x<br />

− 11<br />

E D<br />

Q<br />

C<br />

©7 H2t0s151A CK4uXtFaS JSUolfctbwVaNrxeE PLhLACE.E c 2AblWl5 OrZiFgDh3t9sn BrieFsbezrkvdePdM.s n MMhaJdVeO WwKirtMhZ DIUnKfri8nEi3tHeQ 1GreVo4mPeytYr6y6.d Worksheet by <strong>Kuta</strong> S<strong>of</strong>tware LLC<br />

12)<br />

14)<br />

Find the length <strong>of</strong> the angle indicated for each trapezoid.<br />

16) Find m∠V<br />

U T<br />

12x<br />

− 28<br />

V<br />

5x<br />

+ 38<br />

Find the lengh <strong>of</strong> the base indicated for each trapezoid.<br />

18) Find VU<br />

T<br />

F<br />

U<br />

6x<br />

− 6<br />

38<br />

7x<br />

− 4<br />

V<br />

G<br />

W<br />

P<br />

S<br />

-2-<br />

Z<br />

A<br />

L<br />

11x<br />

+ 8<br />

95°<br />

B<br />

17) Find m∠R<br />

Q<br />

Y 23<br />

X<br />

6x<br />

− 22<br />

R<br />

29<br />

11x<br />

+ 2<br />

C<br />

D<br />

8x<br />

+ 34<br />

S<br />

K<br />

W<br />

T


<strong>Kuta</strong> S<strong>of</strong>tware - Infinite Geometry Name___________________________________<br />

<strong>Properties</strong> <strong>of</strong> <strong>Trapezoids</strong><br />

Find the length <strong>of</strong> the angle indicated for each trapezoid.<br />

1)<br />

3)<br />

S<br />

C<br />

65°<br />

?<br />

R<br />

60°<br />

?<br />

D<br />

E<br />

Q<br />

P<br />

F<br />

115° 2)<br />

120° 4)<br />

Find the length <strong>of</strong> the diagonal indicated for each trapezoid.<br />

5) KM = 22<br />

Find JL<br />

J<br />

K L<br />

Find the length <strong>of</strong> the median <strong>of</strong> each trapezoid.<br />

7)<br />

U<br />

A<br />

V 9 W<br />

?<br />

13<br />

B<br />

X<br />

M<br />

Date________________<br />

Period____<br />

©M K2O0d1I1X mKruPt8a3 AScoufbttw0afrRer 7LPL6Ch.L 1 0ArlVlx mrNibg6h7tpsF 7rVensCeLrvvde5dC.6 N XMpaydueO NwQiFtihG JIJnMffilnaiptreA 9Gveiowm6e2tDr Vyo.4 Worksheet by <strong>Kuta</strong> S<strong>of</strong>tware LLC<br />

V<br />

Y<br />

U T<br />

92°<br />

70°<br />

22 6) DF = 8.7<br />

Find EG<br />

11 8)<br />

Find the lengh <strong>of</strong> the base indicated for each trapezoid.<br />

9)<br />

S<br />

D<br />

E 13 F<br />

19<br />

?<br />

T<br />

G<br />

25 10)<br />

-1-<br />

P<br />

V<br />

G<br />

W<br />

X<br />

G<br />

F<br />

?<br />

S<br />

?<br />

W<br />

Q 5.5<br />

R<br />

12.9<br />

?<br />

V<br />

S<br />

W 4.4 X<br />

5.5<br />

?<br />

88°<br />

9.2<br />

H<br />

Y<br />

E<br />

V<br />

D<br />

6.6<br />

110°<br />

8.7


Solve for<br />

11)<br />

M<br />

x.<br />

Each figure is a trapezoid.<br />

V<br />

11 U<br />

W<br />

−x<br />

+ 21<br />

17<br />

N<br />

13) EC = 20<br />

FD = 5x<br />

− 10<br />

15)<br />

S<br />

51°<br />

R<br />

T<br />

7 12)<br />

F<br />

28x<br />

− 11<br />

E D<br />

Q<br />

C<br />

6<br />

©c h2G0p1L1n yK2u7t3ah JSuodfrtawvaLrLeR cL9LeCl.L T pAhlGly TrpiCgBhtt3ss 2rZeNsreZrxvQendQ.F r PMMagdXeb mw5iztwhe WI Dnlfmi6n7ivtpeO yGzeXoKmle7terfyQ.e Worksheet by <strong>Kuta</strong> S<strong>of</strong>tware LLC<br />

14)<br />

Find the length <strong>of</strong> the angle indicated for each trapezoid.<br />

16) Find m∠V<br />

U T<br />

12x<br />

− 28<br />

V<br />

5x<br />

+ 38<br />

P<br />

S<br />

5<br />

Z<br />

A<br />

L<br />

11x<br />

+ 8<br />

95°<br />

B<br />

88° 17) Find m∠R<br />

Find the lengh <strong>of</strong> the base indicated for each trapezoid.<br />

18) Find VU<br />

T<br />

F<br />

U<br />

6x<br />

− 6<br />

38<br />

7x<br />

− 4<br />

V<br />

G<br />

W<br />

24<br />

Q<br />

Y 23<br />

X<br />

6x<br />

− 22<br />

R<br />

29<br />

11x<br />

+ 2<br />

C<br />

D<br />

8x<br />

+ 34<br />

Create your own worksheets like this one with Infinite Geometry. Free trial available at <strong>Kuta</strong>S<strong>of</strong>tware.com<br />

-2-<br />

7<br />

S<br />

K<br />

W<br />

T<br />

3<br />

130°

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