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Relationships (Coordination geometry (Parallel and perpendicular lines…
Relationships
Coordination geometry
The distance between two points
Distance formula
Midpoints
Midpoints formula
Gradient
The Gradient formula
Parallel and perpendicular lines
Parallel Lines
Perpendicular lines
The negative reciprocal
Collinear points
The equation of a line
Gradient-intercept form
General form
Perpendicular bisectors
Distance from a point to a line
3-dimensional coordinate geometry
Transformation Geometry
Reflection
y-axis
My
(x,y)=(-x,y)
line y=x
My=x
(x,y)=(y,x)
x- axis
Mx
(x,y)=(x,-y)
line y=-x
My=-x
(x,y)= (-y,-x)
Rotations
90 degrees
(x,y)= (y,-x)
180 degrees
(x,y) = (-x,-y)
-90 degrees
(x,y)=(-y,x)
translations
object
translation vector
image
transformation equation
points
equation
Dilations
x axis
y point
scale factor
y axis
x point
scale factor
center orgin
points
scale factor
Pythagoras' Theorem
a squared
b squared
c squared
right angled triangle
hypotenuse squared
opposite and adjacent squared
missing opposite/ adjacent
squared opposite/ adjacent
squared hypotenus
Pythagorean triples
in order
smallest to greatest
Congruence and similarity
Congruent triangles
Proof using congruence
The isosceles triangle theorem and its converses
The midpoint theorem
Similarity
Similar Triangles
Areas and volumes
plus
equals
with points
with lines rearange
plug in
work out
in the
equals
equals
at
equals
with
multiply
by
plus
equals
for a
the
equals the
to find
subtract
by
are
and