what are the properties of the following geometric shapes?

Question

Parallelogram

Rectangle

Rhombus

Square

Trapezoid

Isoscelese Trapezoid


any help is appreciated.

Answer 1

Parallelogram Properties -
The opposite sides are parallel by definition.
The opposite sides are congruent.
The opposite angles are congruent.
The diagonals bisect each other.
Any pair of consecutive angles are supplementary.

Rectangle Properties -
All the proporties of a parallelogram apply by definition.
All angles are right angles
The diagonals are congruent.

Rhrombuses Properties -
All the properties of a parallalogram apply by definition.
All the properties of a kite apply (In fact the half properties become full properties)
All sides are congruent - that is, a rhombus is equilateral
The diagonals bisect the angles
The diagonals are perpendicular bisectors of each other
The diagonals divide the rhombus into 4 congruent right triangles

Square Properties -
All the properties of a rectangle apply by definition
All the properties of a rhombus apply by definition
The diagonals form 4 isosceles right triangles

Trapezoid Properties - sorry i dont know them

Isosceles Trapezoid Properties -
The legs are congruent by definition
The bases are parrallel (by definition of a trapezoid)
The lower base angles are comgruent
The upper base angles are congruent
The diagonals are congruent
Any lower base angle is supplementary to any upper base angle

I hope that these help you. good luck.

Answer 2

A fractal is generally "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"[1] a property called self-similarity. The term was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured." A mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion.[2]

Answer 3

what do u mean by properties? well, a Parallelogram is a 4 sided polygon with 2 parallel sides, it's sides are at a slant. a rectagle is a 4 sided polygon with 2 parallel sides, but its sides are a a right angle. a rhombus is the same as a parallelogram, except a rhombus's sides are all equal in length. a square is like a rectangle, except its sides are all of equal length. a trapezoid is a 4 sided polygon with 2 parallel sides. i'm not sure about the last one, but i think it is like a trapezoid. except it has one right angle.

Answer 4

parallelogram: 4 sides: 2 sets of parallel lines
Rectangle: 4 sides : 2 sets of parallel lines PLUS 90degrees angle in every corners
Rhombus: 4 side of equal lenght
Square: 4 side: 2 set of parallel line that are of equal lenght and 90 degrees angle in every corners
Trapezoid: 4 sides : Only 2 sides are parallel
Isoscelese Trapezoid: Same as trapezoid but the two side that are not parallel are of equal lenght therefore it has a symetic line in its middle (perpendicular to the 2 parrallel lines)

I hope this help.

Answer 5

1. Parallelogram - four sides; opposite sides of equal length and parallel
2. Rectangle - four sides; opposite sides parallel and of equal length; four right angles
3. Rhombus - four sides, all of equal length; opposite sides parallel
4. Square - four sides of equal length; four right angles
5. Trapezoid - four sides; one pair of opposite sides parallel
6. Issceles trapezoid - four sides; one pair of opposite sides parallel; other pair of opposite sides of equal length