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Chapter 3

STUDY
PLAY
congruent triangles (and polygons)
all pairs of corresponding parts are congruent
reflexive property
when the side or angle is congruent to itself
SSS
if there exists a correspondance between the vertices of two triangles such that 3 sides of one triangle are congruent to the corresponding sides of the other triangle, the two triangles are congruent
SAS
if there exists a correspondance between the vertices of two triangles such that 2 sides and the included angle of one triangle are congruent to the corresponding part of the other triangle, the two triangles are congruent./
ASA
if there exists a correspondance between the vertices of two triangles such that 2 angles and the included side are congruent to the corresponding parts to the other triangle, the two triangles are congruent.
CPCTC
corresponding parts of congruent triangles are congruent
rim
the outline of a circle
center
how the circle is named by
radii
all _________ of a circle are all congruent
median
a line segment dran from any vertex of the triangle to the midpoint of the opposite side.
altitude
a line segment drawn from any vertex of the triangle to the opposite side, extended if necessary, and perpendicular to that side.
auxiliary lines
connect two points already in the diagram (usually)
2 points
__________ determine a line, ray, or segment
centroid
the point where 3 medians of a triangle intersect
orthocenter
the point of concurrency for the altitudes of a triangle
circumcenter
the point of intersection for the perpendicular bisectors of a triangle
auxiliary line
a line that can be added to a figure to help solve a problem or a proof
incenter
the point of concurrency for the angle bisectors of a triangle
scalene
a triangle in which no two sides are congruent
isosceles
a triangle in which at least two sides are congruent
base angles
the two congruent angles by the base of an isosceles triangle
vertex angle
the angle of an isosceles triangle with the 2 included sides
equilateral
a triangle in which all sides are congruent
equiangular
a triangle in which all angles are congruent
acute
a triangle in which all angles are acute
right
a triangle in which one of the angles is a right angle
hypotenuse
the side opposite the right angle
legs
the sides that form the right angle;
the sides that form the vertex angle
obtuse
a triangle in which one of the angles is an obtuse angle