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IN ORDER TO I DENTIFY THE DIFFERENT KIND OF
QUADRILETERAL THROUGH POWER POINT
PRESENTATION;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
quadrilateral is any shape the has four sides. Outlined below are four
definitions that are good to always keep in mind when working with
quadrilaterals
•Diagram 2 is a Venn Diagram, which uses overlapping circles to show relationships
between groups of objects.
•Quadrilaterals is the most general group and can be divided into parallelograms and
trapezoids.
•Parallelograms can then be further divided into rectangles and rhombuses.
•Rhombuses and rectangles can each be further divided into squares.
•Although not shown in this particular diagram, trapezoids can be further divided into
isosceles trapezoids.
Parallelogram: Opposite sides are equal in length and parallel to each other. Opposite
angles are congruent.
Rhombus: A type of parallelogram. But each of the sides are equal in length.
Square: A type of parallelogram. But all four sides all equal in length and each of the
four angles are 90 degree angles.
Rectangle: A type of parallelogram. But each of the four angles are 90 degree angles.
Trapezoid: Contains one set of opposite parallel lines.
Isosceles Trapezoid: A trapezoid with equal length in legs and equal measurements of
base angles.
There is also a theorem in
geometry that tells us that in all
quadrilaterals, the sum of the
measures of the angles is
360o. This can be used in many
situations, including problems
where you need to find the
measures of angles.
1. Problem: Find the measure of angle x.
Similar polygons are polygons for
which all corresponding angles are
congruent and all corresponding
sides are proportional. Example: