To explain basic mathematical shapes/terms.

Side of shapes

Tri = 3 sides

Quad = 4 sides

Pent = 5 sides

Hex = 6 sides

    TRI 3 SIDES SHAPES

Equilateral triangle - All angles equal to 60 degrees, all sides are equal, al equilateral triangles have 3 lines of symmetry.

Isosceles triangle - 2 angles equal, 2 sides have equal length, all isosceles triangles have a line symmetry or one line is reflected from the other.

Scalene triangle - No angles are qual, no sides are equal length.

Right angles triangle - 1 angle must have 90 degrees.

Obtuse Triangle - 1 angle must be greater than 90 degrees which are called an obtuse angle, the other 2 angles are less than 90 degrees which are called the acute angle.

Acute triangle - All angles must have less than 90 degrees.

    QUAD 4 SIDED SHAPES:

Quadrilateral shapes must have:

- 4 sides and edges

- 4 vertices or corners

- Interior angles add up to 360 degrees

Rectangle - 4 sided shape, every angle is a right angle (90 degrees), opposite sides are parallel and equal of length.

Square - 4 sides are qual, every angle is a right angle (90 degrees), opposite sides are parallel.

Rhombus - 4 sided shape, all sides have equal length, opposite sides are parallel and opposite angles are equal.

An interesting fact in diagonal or dashed lines meets in the middle at a right angle.

Rhombus is also called a rhomb or a diamond.

Parallelogram - COntains opposite sides parallel and equal in length, Opposite angles are equal (2 angles are the same, and another 2 are the same).

Trapezoid - Has opposite sides parallel, quadrilateral no parallel sides.

Kite - Has two same length sides or each pair is made of two ewaul-length sides join up.

- two angles pairs are equal.

- the diagonals, shown as dashed lines above, meet at a right angle.

- 1 diagonal bisect (cut equally in half).

Polygons

There can be a regular polygon which all angles equal and all sides equal sides, but if they don't have this they will be an irregular polygon.

Pentagon - A regular pentagon contains five congruent sides, five same interior angles, five same exterior angles.

Exterior angles = 360/5 sides = 72 degrees. This is found because a regular polygon, going around a pentagon completes a full circle, this means the exterior angles are found by dividing 360 degrees by the numbers of the sides.

Irregular pentagons - Convex no internal angles can be more than 180 degrees, concave one interior angle that is greater than 180 degrees.

Hex- 6 sided shapes - hexagon

Regular / irregular

When all angles are equal and all sides are equal it is regular, otherwise, it is irregular.

A concave/convex

A convex hexagon no angles pointed inwards, no internal angles can be more than 180 degrees.