Revision Note - Math - Measures, Shape and Space

Adjacent Angles on a Straight Line

Result: $a+b=180^\circ$

Reference: adj. $\angle$s on a st… Read

Lines and Angles

Angle Sum of Triangle

Result: $a+b+c=180^\circ$

Reference: $\angle$ sum of $\D… Read

Math

Angles at a Point

Result: $a+b+c+d=360^\circ$

Reference: $\angle$s at a pt… Read

Lines and Angles

Angles at the Centre

Equal arcs imply the angles at the centre equal.

Condition:

Math

Angles at the Circumference

The angle at centre is twice the corresponding angle at circ

Math

Area of Triangle

Area $=\dfrac{1}{2}\times$ base $\times$ height
Area $=\

Math

Base Angles of Isosceles Triangle

Result: $a=b$

Reference: base $\angle$s, isos. $\Delta$… Read

Math

Centres of Triangle

Centroid of triangle

Property: The three medians intersec

Math

Chords

Perpendicular line from the centre to chord bisects chord.

Math

Circle

For a circle with radius $r$.

Circumference $=2\pi r$
Area o

Math

Circular Cylinder

For a circular cylinder with base radius $r$ and height $h$.… Read

Math

Condition for Isosceles Triangle

Condition: $a=b$

Reference: sides opp. eq. $\angle$s… Read

Math

Condition for Right-angled Triangle

Condition: $a^2+b^2=c^2$

Result: The triangle is a right-… Read

Math

Conditions for Congruent Triangles

Three corresponding sides equal

Condition: $AB=PQ$, $BC=

Math

Conditions for Parallel Lines

Corresponding angles equal

Condition: $a=b$

Reference: c

Lines and Angles

Conditions for Parallelogram

Two pairs of opposite sides equal.

Reference: opp. sides eq

Math

Conditions for Similar Triangles

Three corresponding angles equal

Condition: $\angle A=\a

Math

Cone

For a cone with base radius $r$, height $h$ and slant height $… Read

Math

Coordinates of the Centroid

For a triangle with vertexes $A(x_1,y_1)$, $B(x_2,y_2)$ a… Read

Coordinates

Cosine Law

\begin{equation*}
a^2=b^2+c^2-2bc\cos A
\end{equation… Read

Math