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18 terms

Ch.4 Geometry

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triangle
a polygon with three sides
scalene
no sides are congruent
isoscles
two sides are congruent
equilateral
all sides are congruent
acute triangle
three acute angles
right triangle
one right angle
obtuse triangle
one obtuse angles
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
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
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
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