29 terms

# Geom - chpt 3

McDougal-Littell - Geometry chapter 3 terms & theorems
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congruent triangles
all pairs of corresponding parts are congruent
congruent polygons
all pairs of corresponding parts are congruent
Reflexive Property of Congruence
an angle or segment is congruent to itself
SSS
if there exists a correspondence between two triangles such that three sides of one are congruent to the other, then the triangles are congruent
SAS
if there exists a correspondence between two triangles such that two sides and an included angle of one are congruent to the other, then the triangles are congruent
ASA
if there exists a correspondence between two triangles such that two angles and an included side of one are congruent to the other, then the triangles are congruent
CPCTC
Corresponding parts of congruent triangles are congruent
line segment with endpoints on the circle and the center of the circle
median
line segment drawn from a vertex of a triangle to the midpoint of the opposite side
altittude
line segment drawn from a vertex of a triangle perpendicular to the opposite side
determine a line
two points ....
auxiliary line
two points determine a line
scalene triangle
a triangle where no sides are congruent
isosceles triangle
a triangle with at least two congruent sides
equilateral triangle
a triangle with all sides congruent
equiangular triangle
a triangle with all angles congruent
acute triangle
a triangle where all three angles are acute
right triangle
a triangle with one right angle
obtuse triangle
a triangle with one obtuse angle
hypotenuse
the longest side in a right triangle
hypotenuse
the side opposite the right angle in a right triangle
legs
the sides that form a right angle in a right triangle
the angles opposite them are congruent
if two sides in a triangle are congruent, then ...
the sides opposite them are congruent
if two angles in a triangle are congruent, then ....
H-L
if there exists a correspondence between two right triangles such that the hypotenuse and one leg are congruent to the other, then the triangles are congruent
the angles opposite them are not congruent
if two sides of a triangle are not congruent ....
the sides opposite them are not congruent
if two angles of a triangle are not congruent ...
the longer side
the larger angle in a triangle is opposite ...
the larger angle
the longer side in a triangle is opposite ...