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Medians - Kuta Software

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-1-<br />

©q q2006142G LKSukt5au PS8oOfbtrwYazr2eL tLHLBCb.v S sA1lgli 1rGiCgch8tdss wrFeqsIe8rFvHewdg.I K 8Mca9dDef bwrimtQh8 jIvntfh inTi1tye5 aGVejoLmXeTtprJy3.K Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />

<strong>Kuta</strong> <strong>Software</strong> - Infinite Geometry<br />

Name___________________________________<br />

<strong>Medians</strong><br />

Each figure shows a triangle with one or more of its medians.<br />

Date________________ Period____<br />

1) Find FE if TE = 8<br />

2) Find GF if TF = 6.3<br />

G<br />

F<br />

T<br />

G<br />

F<br />

T<br />

E<br />

E<br />

3) Find LJ if IJ = 6<br />

I<br />

4) Find NM if EM = 10<br />

M<br />

L<br />

E<br />

J<br />

N<br />

K<br />

L<br />

N<br />

5) Find ZQ if ZD = 6<br />

X<br />

6) Find RK if DK = 3.4<br />

T<br />

Y<br />

D<br />

Q<br />

F<br />

Z<br />

R<br />

I<br />

D<br />

K<br />

S<br />

7) Find BG if BV = 3.9<br />

A<br />

8) Find EZ if ZV = 12<br />

F<br />

V<br />

G<br />

E<br />

U<br />

Z<br />

V<br />

D<br />

C<br />

U<br />

B<br />

9) Find DH if BH = 4.5<br />

10) Find CG if KG = 41.4<br />

B<br />

K<br />

F<br />

J<br />

D<br />

G<br />

H<br />

C<br />

G<br />

A<br />

H<br />

C<br />

L


-2-<br />

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11) Find x if GE = 3x + 5 and IE = x + 6<br />

12) Find x if TP = 2x + 1 and TQ = 3x − 5<br />

E<br />

R<br />

I<br />

V<br />

U<br />

F<br />

G<br />

Q<br />

T<br />

P<br />

13) Find x if ET = 3x + 2 and EM = 5x<br />

D<br />

M C<br />

T<br />

L<br />

E<br />

14) Find x if KT = 6x + 6<br />

5<br />

K<br />

C<br />

A<br />

T<br />

J<br />

B<br />

L<br />

and KB = 11<br />

5 x − 6 5<br />

15) Find CQ if CR = x and CQ = 2x − 6<br />

S<br />

R<br />

16) Find AS if AR = x − 1 2<br />

T<br />

and AS =<br />

x + 5<br />

2<br />

C<br />

C<br />

B<br />

Q<br />

S<br />

A<br />

R<br />

17) Find XQ if MQ = 3x − 3 and XQ = 2x − 6<br />

18) Find JW if JW = 6x + 2 and JB = 10x + 1<br />

N<br />

K<br />

C<br />

W<br />

J<br />

X<br />

Q<br />

B<br />

I<br />

A<br />

M<br />

P<br />

L


-1-<br />

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<strong>Kuta</strong> <strong>Software</strong> - Infinite Geometry<br />

Name___________________________________<br />

<strong>Medians</strong><br />

Each figure shows a triangle with one or more of its medians.<br />

Date________________ Period____<br />

1) Find FE if TE = 8<br />

2) Find GF if TF = 6.3<br />

G<br />

F<br />

T<br />

G<br />

F<br />

16<br />

T<br />

3) Find LJ if IJ = 6<br />

I<br />

E<br />

E<br />

12.6<br />

4) Find NM if EM = 10<br />

M<br />

L<br />

J<br />

3<br />

N<br />

K<br />

5) Find ZQ if ZD = 6<br />

X<br />

L<br />

20<br />

E<br />

N<br />

6) Find RK if DK = 3.4<br />

T<br />

D<br />

Y<br />

4<br />

Q<br />

F Z<br />

7) Find BG if BV = 3.9<br />

A<br />

R<br />

10.2<br />

K<br />

D<br />

I S<br />

8) Find EZ if ZV = 12<br />

F<br />

V<br />

C<br />

2.6<br />

G<br />

U B<br />

9) Find DH if BH = 4.5<br />

U<br />

V<br />

Z<br />

E<br />

24<br />

10) Find CG if KG = 41.4<br />

D<br />

B<br />

K<br />

F<br />

J<br />

D<br />

G<br />

H<br />

C<br />

G<br />

A<br />

1.5<br />

H<br />

C<br />

13.8<br />

L


-2-<br />

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11) Find x if GE = 3x + 5 and IE = x + 6<br />

12) Find x if TP = 2x + 1 and TQ = 3x − 5<br />

E<br />

R<br />

I<br />

V<br />

U<br />

F<br />

7<br />

G<br />

Q<br />

6<br />

T<br />

P<br />

13) Find x if ET = 3x + 2 and EM = 5x<br />

D<br />

M C<br />

T<br />

L<br />

E<br />

14) Find x if KT = 6x + 6<br />

5<br />

K<br />

C<br />

A<br />

T<br />

B<br />

L<br />

and KB = 11<br />

5 x − 6 5<br />

6<br />

7.5<br />

J<br />

15) Find CQ if CR = x and CQ = 2x − 6<br />

S<br />

R<br />

16) Find AS if AR = x − 1 2<br />

T<br />

and AS =<br />

x + 5<br />

2<br />

C<br />

C<br />

B<br />

6<br />

Q<br />

S<br />

5.5<br />

A<br />

R<br />

17) Find XQ if MQ = 3x − 3 and XQ = 2x − 6<br />

18) Find JW if JW = 6x + 2 and JB = 10x + 1<br />

N<br />

K<br />

C<br />

W<br />

J<br />

Q<br />

B<br />

A<br />

X<br />

I<br />

M<br />

P<br />

L<br />

14<br />

4<br />

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

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