# Geometric Properties

This page lists the geometric properties of some shapes and circle theorems. It is divided into five groups. Click on a button to view group shapes and their properties.

### 2D Shapes

2D Shapes area and perimeter.

Geomentic Shape
Area Perimeter
Name Shape
Square
Rectangle
Triangle
Parallelogram
Trapezoid
Rhombus
Kite
Regular Polygon

### 3D Shapes

3D Shapes surface area and volume

Geomentic Shape
Volume surface Area
Name Shape
Cube
Cuboid
Tetrahedron
Rectangular
Pyramid

Regular
Pyramid

Frustum of
Regular Pyramid

Rectangular
Right Wedge

Cylinder
Cone
Frustum
Torus
Sphere

### Circle

Circle and ellipse properties and definitions.

Part Name
Shape Notes
Circle
Arc

Sector
Segment
Ellipse
Annulus
Crescent 1
Crescent 2

### Circle Theorems

There are 8 theorms for the circle

Theorem No.
Shape Theorem
Theorem 1

Angles at
Centre and
Circumference
Theorem 2

Angles in
Semi-Circle
Theorem 3

Angles in the
same segemnt
Theorem 4

Angles in
Theorem 5

Alternate
angles
Theorem 6

Angle between
Theorem 7

Lengths of two
tangents
Theorem 8

Perpendicular
from centre
bisects chord

### Sphere

Surface area and volume for the sphere and parts of the sphere.

Geomentic Shape
Volume surface Area
Name Shape
Sphere
Sphere
Cap

Sphere
Sector 1

Sphere
Sector 2

Sphere
Segment

Sphere
Wedge