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sum of angles in a polygon

(n-2)(180)

the length of each side of a triangle must be

less than the sum of the length of the other two sides

equilateral triangle

triangle with three congruent sides, three equal angles, each is 60 degrees

isosceles triangle

triangle with at least two congruent sides, two angles opposite the equal sides are also equal

isosceles right triangle

triangle with two equal sides, two equal angles, and one 90° angle; sides are always in the ratio 1:1:root2.

30-60-90 right triangle

Triangle with the side ration of Short Leg: Long Leg: Hypotenuse:: x : x(root-3) : 2x

area of a triangle

A = (1/2)b*h

congruent triangle criteria

three sides equal, two sides and one included angle equal, or two angles and one included side equal

congruent triangles

triangles with same shape and size

similar triangles

triangles with same shape but not necessarily size

scalene triangle

a triangle with no two sides of equal length

angles between these of a kite are equal

the two sets of non-equal sides

ubiquitous

present or existing everywhere

garrulous

given to much talking, tediously chatty

solicitous

showing hovering attentiveness

munificent

very generous

laconic

using very few words

fastidious

1. very attentive to detail and accuracy

2. very attentive to cleanliness

2. very attentive to cleanliness

taciturn

reserved or uncommunicative in speech; saying little

mendacity

untruthfulness

prevarication

lie: a statement that deviates from or perverts the truth

avarice

extreme greed for material wealth or gain

baseness

unworthiness by virtue of lacking higher values

debased

ruined in character or quality

jettison

to cast overboard, get rid of as unnecessary or burdensome

distill

to separate or extract the essential elements of

modish

in the current fashion or style

sanguine

reddish color; cheerfully optimistic

salubrious

1. health-giving, healthy

2. pleasant

2. pleasant

remedial

1. giving or intended as a remedy or cure

2. intended for students experiencing learning difficulties

2. intended for students experiencing learning difficulties

injudicious

showing poor judgement, unwise

calumnious

slanderous or defamatory

inveigle

persuade someone to do something by flattery or deception

timorous

suffering from nervousness or lack of confidence

diffident

lacking self-confidence

intractable

hard to control or deal with

evanescent

quickly fading or disappearing

recrudescent

revival of an unfortunate situation after period of abatement

inimical

1. tending to obstruct or harm

2. unfriendly, hostile

2. unfriendly, hostile

sides of a 45-45-90 triangle

1 : 1 : √2

sides of a 30-60-90 triangle

1 : √3 : 2

Special side-based right triangles

3:4:5, 5:12:13