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Relationships (Coordinate Geometry Different coordinate relate to create…
Relationships
Coordinate Geometry
Different coordinate relate to create distances and angles
Gradient
Negative gradient
Equal gradient
Positive gradient
Gradient formula
Parallel
Perpendicular
Perpendicular bisector
Negative reciprocals
Midpoint
Need for both
Midpoint formula
Collienear
Form
Gradient-intercept form
Gradients
General form
Equation of a line
Distance formula
Distance of line
Equidistant
Modulus
3D Coordinate Geometry
X, Y, Z axis
Origin O
Congruence and Similarity
Different shapes have similar properties
Triangles use congruence
Congrument Triangles
Congruence types
SSS
SAS
AAcorA
RHS
Proof using congruence
Midpoint Theorem
Similarity
Requirements for similarity
In proportion
Same ratio
Enlargement factor
Equiangular
Area
help to solve
Volume
K^2 * Area
Triangles
Finding distances by creating triangles
Triangles connect angles and distances through theorems
Right Sided Triangle
Hypotenuse
a^2+b^2=c^2 (Pythagoras Theorem)
Converse of Pythagoras' Theorem
Pythagorean Tripple
3,4,5
5, 12, 13
8, 15, 17
Distance Formula
Isosceles Triangle Theorem
3-D Problems
Circles
Related to triangles using angles
Bisection
Perpendicular Bisector
Semi-circle Angle
Radii
Times 2
Diameter
Tangent Radius Property
Chord of a Circle
Perpendicular Distance
Legs
Transformation Geometry
Relationships between points on a plane
Transformations
Can be applied to
Translation
h/k (translation vector)
(x+h,y+k)
Image
Point θ
Reflection
Types of reflection
Mirror line
Reflected using
My
My=x
My=-x
Mx
Dilations
Types of dilations
k (scale factor)
Vertical dilation
Horizontal dilation
Enlargement
Reduction (delargement ; ) )
Rotations
Types of rotations
R90
R-90
R180