,ANALYTICAL GEOMETRY
•
DISTANCE BETWEEN 2 POINTS •
MIDPOINT OF A LINE SEGMENT
A / 0:41 ( XAIYA )
vertical A. B. ( XBIYB )
•
distance
•
-
AB=Ytop -
Y bottom
B. ( 0 ; 3) 7
MµAz+XB ;
YA
;YB )
•
-
=
*
diagonals in parallelograms bisect
horizontal distance each other
AB= Wright -
Jcleft
A¥É:o) =
7 •
ALTITUDE
line from vertex drawn 1
to opposite side of
•
Bu :o) diagonal distance
É:ya1 BC=Y•
=
4
-
Yc Al =
=3
Jcc -
Xa •
MEDIAN
line from vertex drawn to
" "
midptof opposite side of
' '
AB -_
AC 't BC pyth
AB -5 -
•
PERPENDICULAR BISECTOR
D= (xz-x.tt ( ya -
y )
,
'
linethat passes through midpt .
"
and t to that side
"
•
EQUATION OF A STRAIGHT LINE •
INCLINATION OF A LINE
y=mx+c tan @ =m
•
GRADIENT
yz -
YI
M =
Xz -
Oc , 7-0 <
0
•
PERPENDICULAR LINES
M ,
= -
Mz
Yz -
Y ,
M =
sci -
JC ,
•
PARALLEL LINES →
same gradient ( m ) tan o=m
•
COLLINEAR POINTS
* workout
On same line gradient to
prove
, •
PROPERTIES OF QUADRILATERALS
4 sided figure with the sum of angles is 360
'
trapezium rhombus
-
one pair of parallel -
two pairs of parallel
>,
lines lines which are all
g z
$ >,
equal
square
parallelogram ,> ,
-
two pairs of parallel lines
parallel which are equal and 90
iz
two sides of
'
f
-
,
>> 11 , a
, ,
lines ( Pdrm ) angles
,> ,
y ,
, '
✗
✗ 11
kite
rectangle , ,
"
-
two pairs of adjacent sides
> > ,,
-
two pairs of parallel ,i , Yi which are equal
' '
sides and angles of
a a
"
90
'
'
7 > > ,,
•
DISTANCE BETWEEN 2 POINTS •
MIDPOINT OF A LINE SEGMENT
A / 0:41 ( XAIYA )
vertical A. B. ( XBIYB )
•
distance
•
-
AB=Ytop -
Y bottom
B. ( 0 ; 3) 7
MµAz+XB ;
YA
;YB )
•
-
=
*
diagonals in parallelograms bisect
horizontal distance each other
AB= Wright -
Jcleft
A¥É:o) =
7 •
ALTITUDE
line from vertex drawn 1
to opposite side of
•
Bu :o) diagonal distance
É:ya1 BC=Y•
=
4
-
Yc Al =
=3
Jcc -
Xa •
MEDIAN
line from vertex drawn to
" "
midptof opposite side of
' '
AB -_
AC 't BC pyth
AB -5 -
•
PERPENDICULAR BISECTOR
D= (xz-x.tt ( ya -
y )
,
'
linethat passes through midpt .
"
and t to that side
"
•
EQUATION OF A STRAIGHT LINE •
INCLINATION OF A LINE
y=mx+c tan @ =m
•
GRADIENT
yz -
YI
M =
Xz -
Oc , 7-0 <
0
•
PERPENDICULAR LINES
M ,
= -
Mz
Yz -
Y ,
M =
sci -
JC ,
•
PARALLEL LINES →
same gradient ( m ) tan o=m
•
COLLINEAR POINTS
* workout
On same line gradient to
prove
, •
PROPERTIES OF QUADRILATERALS
4 sided figure with the sum of angles is 360
'
trapezium rhombus
-
one pair of parallel -
two pairs of parallel
>,
lines lines which are all
g z
$ >,
equal
square
parallelogram ,> ,
-
two pairs of parallel lines
parallel which are equal and 90
iz
two sides of
'
f
-
,
>> 11 , a
, ,
lines ( Pdrm ) angles
,> ,
y ,
, '
✗
✗ 11
kite
rectangle , ,
"
-
two pairs of adjacent sides
> > ,,
-
two pairs of parallel ,i , Yi which are equal
' '
sides and angles of
a a
"
90
'
'
7 > > ,,
