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Area of triangle:<br />
Area of Triangle<br />
1<br />
=<br />
2<br />
1<br />
A = xy + xy + xy − xy+ xy + xy<br />
2<br />
( 1 2 2 3 3 1) ( 2 1 3 2 1 3)<br />
Equation of Straight Line<br />
Gradient (m) and 1 point (x1, y1)<br />
given<br />
y− y = m( x− x )<br />
1 1<br />
http://www.one-school.net/notes.html<br />
2 points, (x1, y1) and (x2, y2) given<br />
y − y y − y<br />
=<br />
x − x x − x<br />
1 2 1<br />
1 2 1<br />
Equation of perpendicular bisector ⇒ gets midpoint and gradient of perpendicular line.<br />
5<br />
ONE-SCHOOL.NET<br />
Form of Equation of Straight Line<br />
General form Gradient form Intercept form<br />
ax + by + c = 0<br />
Information in a rhombus:<br />
A B<br />
D<br />
C<br />
y = mx+ c<br />
m = gradient<br />
c = y-intercept<br />
x y<br />
+ = 1<br />
a b<br />
a = x-intercept<br />
b = y-intercept<br />
x-intercept and y-intercept given<br />
x y<br />
+ = 1<br />
a b<br />
b<br />
m = −<br />
a<br />
(i) same length ⇒ AB = BC = CD = AD<br />
(ii) parallel lines ⇒ mAB = mCD<br />
or mAD = mBC<br />
(iii) diagonals (perpendicular) ⇒ mAC × mBD<br />
=− 1<br />
(iv) share same midpoint ⇒ midpoint AC = midpoint<br />
BD<br />
(v) any point ⇒ solve the simultaneous equations
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