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sum of angles in a polygon

(n-2)(180)

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the length of each side of a triangle must be

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

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equilateral triangle

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

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isosceles triangle

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

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isosceles right triangle

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

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30-60-90 right triangle

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

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area of a triangle

A = (1/2)b*h

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congruent triangle criteria

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

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congruent triangles

triangles with same shape and size

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similar triangles

triangles with same shape but not necessarily size

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scalene triangle

a triangle with no two sides of equal length

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angles between these of a kite are equal

the two sets of non-equal sides

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ubiquitous

present or existing everywhere

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garrulous

given to much talking, tediously chatty

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solicitous

showing hovering attentiveness

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laconic

using very few words

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fastidious

1. very attentive to detail and accuracy

2. very attentive to cleanliness

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taciturn

reserved or uncommunicative in speech; saying little

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prevarication

lie: a statement that deviates from or perverts the truth

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avarice

extreme greed for material wealth or gain

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baseness

unworthiness by virtue of lacking higher values

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debased

ruined in character or quality

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jettison

to cast overboard, get rid of as unnecessary or burdensome

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distill

to separate or extract the essential elements of

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modish

in the current fashion or style

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sanguine

reddish color; cheerfully optimistic

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salubrious

1. health-giving, healthy

2. pleasant

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remedial

1. giving or intended as a remedy or cure

2. intended for students experiencing learning difficulties

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injudicious

showing poor judgement, unwise

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calumnious

slanderous or defamatory

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inveigle

persuade someone to do something by flattery or deception

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timorous

suffering from nervousness or lack of confidence

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diffident

lacking self-confidence

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intractable

hard to control or deal with

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evanescent

quickly fading or disappearing

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recrudescent

revival of an unfortunate situation after period of abatement

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inimical

1. tending to obstruct or harm

2. unfriendly, hostile

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sides of a 45-45-90 triangle

1 : 1 : √2

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sides of a 30-60-90 triangle

1 : √3 : 2

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Special side-based right triangles

3:4:5, 5:12:13

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