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Document related concepts
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Transcript 
Each of the three
points joining the
sides of a triangle.
Vertex
In a triangle, two sides
sharing a common vertex.
Adjacent Sides
The side opposite the right
angle in a right triangle.
Hypotenuse
In an isosceles triangle,
the congruent sides are
called ___________.
legs
A figure formed by three
segments joining three
noncollinear points.
Triangle
The non-congruent side
of an isosceles triangle.
base
The three original angles of
a triangles that are inside
the triangle.
Interior Angles
Vertical angles are
__________.
CONGRUENT
Reflexive Property of
Triangle Congruence for
any Triangle ABC,
ABC  ______
ABC
Symmetric Property of
Triangle Congruence:
IF
ABC 
DEF then______
DEF  ABC
Transitive Property of
Triangle Congruence:
If ABC 
DEF and
DEF 
GHI then______
ABC  GHI
A triangle with 3 congruent
sides.
Equilateral Triangle
A triangle with at least
two congruent sides.
Isosceles Triangle
A triangle with no
congruent sides.
Scalene Triangle
A triangle with three
acute angles.
Acute Triangle
A triangle with three
congruent angles.
Equiangular Triangle
A triangle with a right
angles.
A Right Triangle
A triangle with an
obtuse angle.
An obtuse triangle
The sum of the measures
of the interior angles in a
triangle is __________
180
The measure of an exterior
angle of a triangle is equal
to the sum of the measures
of the two ________________.
Nonadjacent interior angles.
The acute angles of a
right triangle are _________.
Complementary
Two geometric figures are
congruent if they have
exactly the _____________.
Same size and same shape.
If two angles of one
triangle are congruent to
two angles of another
triangle, then the third
angles are also _________.
Congruent
If three sides of one
triangle are congruent to
three sides of a second
triangle, then the two
triangles are congruent.
Side-Side-Side (SSS)
If two sides and the included
angle of one triangle are
congruent to two sides and
the included angles of a
second triangle, then the two
triangles are congruent.
Side-Angle-Side (SAS)
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 two
triangles are congruent.
Angle-Side-Angle (ASA)
If two angles and a
nonincluded side of one
triangle are congruent two
angles and the corresponding
nonincluded side of a second
triangle, then the two triangles
are congruent.
Angle-Side-Angle (ASA)
If the hypotenuse and a leg
of a right triangle are
congruent to the hypotenuse
and a leg of a second right
triangle, then the two
triangles are congruent.
Hypotenuse-Leg (HL)
If two sides of a triangle
are congruent, then the
angles opposite them are
___________.
congruent
If a triangle is equilateral
then it is ___________.
Equiangular
CPCTC
Corresponding Parts of
Congruent Triangles are
Congruent
The two angles adjacent
to the base in an isosceles
triangle.
Base Angles
The angle opposite the
base in a triangle.
Vertical Angle
The angles adjacent to
the interior angles of a
triangle.
Exterior Angles
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