Revision Note - Math - Measures, Shape and Space

Reflections of $y=f(x)$

For the function $y=f(-x)$, the graph of $y=f(x)$ reflects

Math

Rhombuses

Definition: A quadrilateral with four equal sides.
Proper

Math

Section Formula

For two points $A(x_1,y_1)$ and $B(x_2,y_2)$, and $P$ is a p… Read

Coordinates

Sector

For a sector with radius $r$ and the angle at centre $\theta$… Read

Math

Similar Solids

Let $\ell_1$ and $\ell_2$ be two corresponding sides of the … Read

Math

Sine Law

\begin{equation*}
\frac{a}{\sin A}=\frac{b}{\sin B}=\… Read

Math

Slope

For two points $A(x_1,y_1)$ and $B(x_2,y_2)$, the slope of … Read

Coordinates

Sphere

For a sphere with radius $r$.

Surface area $=4\pi r^2$
Volum

Math

Squares

Definition: A quadrilateral with four equal sides and four

Math

Tangents to a Circle

If $PQ$ is a tangent to the circle at $T$, then $OT$ is perpend

Math

Translations of $y=f(x)$

For the function $y=f(x + h) + k$.

If $h$ is positive, then the

Math

Trapeziums

Definition: A quadrilateral with one pair of parallel side

Math

Triangle Inequality

Result: $AB+BCAC$, $AB+ACBC$ and $BC+ACAB$

Reference: tr… Read

Math

Trigonometric Functions for an Acute Angle

$\sin\theta = \dfrac{b}{c}$
$\cos\theta = \dfrac{a}{c}$

Math

Trigonometric Functions for any Angles

$r=\sqrt{x^2+y^2}$
$\sin\theta = \dfrac{y}{r}$
$\cos\t

Math

Trigonometric Identities

$\sin^2\theta+\cos^2\theta =1$
$\tan\theta=\dfrac{\s

Math

Trigonometric Ratios of Special Angles

$$\begin{array}{c|c|c|c|c|c}
& 0^\circ & 30^… Read

Math

Vertically Opposite Angles

Result: $a=b$

Reference: vert. opp. $\angle$s… Read

Lines and Angles