Geometry Worksheet ~l ±j
Transcript of Geometry Worksheet ~l ±j
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 .
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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
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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.
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~ 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, -\ ~