Geometry WorksheetEquations of medians, altitudes

~"l perpendicular bisectors ~The vertices of AABC are A(2, 18), B(-2, -4), and C(6, 12)

Period.~------------------ -------------

1. Find the slope of AB. ±j 2. Find the slope of BC .

\~.t4 :::.E -:.\Jl. -4-\2 ::.~ ;::'.\2.J~+J 't 2 -1..-(." -8 ~

4. Write the equation ofth~line containing AB.

~-Ig:: -¥ ('%-~0-0 \\ ,.

~+'-\ =- 2. ( ')(.+2.)

7. Find the equation ofthe linecontaining the altitude fromC to AB (Co \ \2-) m:..-5

l\

10. Find the coordinates of themidpoint of AB

13. Find the equation of the linecontaining the median fromCto AB

tJ.- ::. \:f- - '7 _ 5-~ ("-0 - to

5. Write the equation of theline containing BC

J

'a- + '-\ z: a ( 'K +2)

lYV ~ - \ L :: J.. ( )( -(0),

8. Write the equation of theline containing the altitudefrom A to BC m = - ~

,,( 2, I 'is)

~-\8-= -~ (~-2)

11. Find the coordinates of themidpoint of BC

14. Find the equation of the linecontaining the median fromA to BC A( "2 I \ ~)

. 4-\8 c\ rs\ope z: - z: u-\() eo\-.2-2

3. Find the slope of AC.

~=~ =\[3):l-Cc -l\ "2

6. Write the equation of theline containing AC

\\-\g= -~ ('1.-2)

~~ -3 ( )~-r'Z.. ::"2 'i.-Co

9. Find the equation of the linecontaining the altitude fromB to AC 1)(-2, -~) \'T\~ 7t3

12. Find the coordinates of themidpoint of AC

15. Find the equation of the linecontaining the median fromBto AC. £»(-2/-4')

5·, re - \5"+4 - ,qo - ---'-\-t2. (."

16. Find the equation of the linecontaining the perpendicularbisector of AB 0

(0,1) yy) ~ -.:?:.II

25. the perpendicular bisectorof segment RSrrn¥RS:: (-~) 5)

L~-~

~-5::-~(~+~)

17. Find the equation of the linecontaining the perpendicularbisector of Be

(2/+) VY\ -=- - t

If -0::: i (x +-5)iYu ~:::?L+-S

18. Find the equation ofthe linecontaining the perpendicular

bisector of AC0_ '2.

(1.\, \5) "W\::: 3

~ r-15::: ~ ( ")(-4')

23. the altitude from R 24. the altitude from SR(o\ \oJ ,~sf::: ~;1::~S(~510) 114r RT-:: l~_-:=_ Il~::: -~ .l~::: \

'c!-\O z: -;2 ('1---0) \t-O:: \ l'f-1-S)

l-.>v d- -::.- J. )<+ \ 0 <.,'-'"0 0- = -j. T5

27. the perpendicular bisectorof segment RT 0

/YVIu'l~;t RT:: (~ 6)• I I ~~7J- - z. ) 2-

-.L~:::: I

'd- - \~ = , ( ~ - ~ )

iY0 \t::.. 'X.-+ 5"

26. the perpendicular bisectorof se~ent ST 5 )

/Vv>.J~/I;d-: S \ -= (0 -."-v-- ) 2-

L~:: -2-

\r-~ ::--z(x-O)

lYU Ocr -::. - d..x, -\ ~