###
triangle

a polygon with three sides

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scalene

no sides are congruent

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isoscles

two sides are congruent

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equilateral

all sides are congruent

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acute triangle

three acute angles

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right triangle

one right angle

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obtuse triangle

one obtuse angles

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equilangular triangle

three congruent angles

###
triangle sum theorm

the sum of the measures of the interior angles of a triangle is 180 degrees

###
exterior angles theorm

the measure of an exterior angles of a triangle is equal to the sum of the measures of the two nonadjacent interior angles

###
collary to a theorm

a statement that can be proved easily using a theorm

###
collary to the triangle sum theorm

the acute angles of a right angle are complementary

###
third angles congruence theorm

if two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent

###
SSS congruence postulate

if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent

###
SAS congruence postulate

If two sides of one triangle are congruent to two sides and the included angle of a second triange, then the triangles are congruent

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HL congruence postulate

if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of a second right triangle, then the two triangles are congruent

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ASA congruence postulate

if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent

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AAS congruence theorm

if two angles and the non included side f only riangle are congruent to two angles and the corresponding non included side of a second triange, the the triangles are congruent

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