Revision Note - Math - Measures, Shape and Space

Cyclic Quadrilateral

A pair of opposite angles of cyclic quadrilateral are suppl

Math

Distance Formula

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

Coordinates

Enlargement of $y=f(x)$

For the function $y=f(ax)$.

If $a 1$, the graph of $y=f(x)$ c

Math

Equations of Circle

Standard form
For a circle $\mathscr{C}$ with centre $(h,k

Coordinates

Equations of Straight Line

Point slope form
For a straight line $\ell$ with slope $m$ an

Coordinates

Exterior Angle of Triangle

Result: $a+b=c$

Reference: ext. $\angle$ of $\Delta$… Read

Math

Intercept Theorem

Condition: $AB=BC$ and $AD//BE//CF$

Result: $DE=EF$

Refe… Read

Math

Interior Angle and Exterior of Polygon

Angle sum of polygon
Angle sum of $n$-gon $=(n-2)\times180

Math

Kites

Definition: A quadrilateral with two pairs of equal sides.

Math

Mid-point Formula

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

Coordinates

Mid-point Theorem

Condition: $AD=DB$ and $AE=EC$

Result: $DE//BC$ and $BC=2… Read

Math

Parallelograms

Definition: A quadrilateral with two pairs of parallel sid

Math

Prism

Lateral surface area $=$ base perimeter $\times$ height
Vo

Math

Properties of Congruent Triangles

Corresponding sides
Condition: $\Delta ABC \cong \Delta X

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Properties of Parallel Lines

Corresponding angles

Result: $a=b$

Reference: corr. $\an

Lines and Angles

Properties of Similar Triangles

Corresponding sides
Condition: $\Delta ABC\sim\Delta XY

Math

Properties of Slope

Parallel
For two straight lines $\ell_1$ and $\ell_2$ with

Coordinates

Pyramid

Volume $=\dfrac{1}{3}\times$ base area $\times$ height

Math

Pythagorus Theorem

Condition: Right-angled triangle

Result: $a^2+b^2=c^2$… Read

Math

Rectangles

Definition: A quadrilateral with four equal interior angl

Math