Everything Needed To Know Flashcards
Formula for speed
Speed = distance over time
Formula for density
Density = mass over volume
Formula for pressure
Pressure = force over area
To find a side - sine rule
a over Sin A
bover Sin B
c over Sin C
Area of a non right angle traingle
Half ab sinC
What is the first circle theorem
Two radii make an isoceles
What is the second circle theorem
The angle at the centre is twice the angle at the circumference
What is the third circle theorem
The angle in a semi circle is 90 degrees
What is the fourth circle theorem
Angles in the same segment are equal
What is the fifth circle theorem
Opposite angles in a cyclic quad add up to 180
What is the sixth circle theorem
Angle between a radius and tangent is 90
What ia the seventh circle theorem
Two tangents meet at eaual length
What is the 8 circle theorem
The alternate segment theorem
What do you need for rotation
Centre of rotation
Angle
Direction
When reflecting a shape and the mirror line is
Horizontal or vertical count to the line
If mirror line is diagonal count diagonal to the line
What is a vector
A vector tells you the direction to move a shape
The number at the top of the vector is
Left or right
The number at the bottom of the vector is
Up or down
For enlargements you need
Scale factor
Centre of enlargement
Scale factor
What is scale factor
New image over original
Congruent shapes
Same shape
Same size
Similar shapes
Same shape
Proving congruence
SAS
ASA
RHS
SSS
An isoceles triangle
Has 2 sides that are same length
2 angles that are the same ( base angles )
Equailateral triangle
All angles are the same
All sides are the same
Steps for inverse functions
Step 1 - write f ( x) as y
Step 2 - make x the subject
Step 3 - swap the y and x over
Stel 4 - f-1 ( x) =
Direct proportion
A is in proportion to B
A = KB
Inverse proportion
Y proportion sign 1 over k
Y = k over x
What is the method for capture recapture
Marker over collected = initially marked over total population
Area of a trapezium
A + b over 2 x h
Anything to the power of 0 is
1:
A number with the power of a negative number is
1 over the number to the power of the other number
When using the quadratic formula what is thr quadratic form
Axsquared + bx + c
What is the formula for completing the square
( x - a ) squared - whatever that is + b
Steps for completing the square
x squared - 6x + 2
( x - half number ) squared - whatever thst is and then add oe minus whatever u have which in this case is +2
Sin 0
0
Sin 30
Half
Sin 45
Root 2 over 2
Sin 60
Root 3 over 2
Sin 90
1
Cos 0
1
Cos 30
Root 3 over 2
Cos 45
Root 2 over 2
Cos 60
Half
Cos 90
Half
Tan 0
0
Tan 30
1 over root 3
Tan 45
1
Tan 60
Root 3
What can’t you add densities or volumes
Densities
Perpendicular means
Negative reciprocal
Turning points of a graph
Y = a ( x - h ) sqaured + k
Hand k are turning points
