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10 Cards in this Set

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  • Back

Surds

√a x √b = √axb


√a + √b = NOTHING

Factorising

Numbers should multiply to make the last term, and add/subtract to make the second.

Jxjsnx

Nznnx x

Inequalities

Open circle = Doesn't include that value.


Closed circle = Includes that value.

Graphical Inequalities

Dotted line = Region doesn't include the points on the line.


Solid line = Region does include the points on the line.

Transformations of Graphs

Outside of bracket: y changes only.


Inside of bracket: x changes only (the operation sign changes).


Number x f(x): graph will be thinner.


F(number x x): graph will be wider.

Parallel Lines

Alternate angles: Z shape


Allied angles: Add to 180°


Corresponding angles: F shape

Circle Theorems

1) A tangent and radius meet at 90°.


2) Two radii form an isosceles triangle.


3) The perpendicular bisector of a chord passes through the centre of the circle.


4) The angle at the centre of a circle is twice the angle at the circumference.


5) The angle at the edge of circle (from a diameter line) = 90°.


6) Angles in the same segment are equal.


7) Opposite angles in a cyclic quadrilateral add up to 180°.


8) Tangents from the same point are the same length.


9) The angle between a tangent and a chord is always equal.

Congruence

Congruent means that two shapes are exactly the same.

Congruence

Congruent means that two shapes are exactly the same.