chapter 4 vocab Flashcards
legs
congruent sides of an isosceles triangle
base
the 3rd non convenient side of an isosceles triangle (not always the bottom)
base angles
the angles on either side of the base
vertex angle
the angle in between the legs of the triangle
Richard Nixon Theorem
In a triangle, 2 congruent sides means 2 congruent angles
converse of the Richard Nixon Theorem
In a triangle, 2 congruent angles means 2 congruent sides
an equilateral triangle is also an
isosceles triangle
corollary
a statement you can prove using another theorem
Corollary to the Richard Nixon Theorem
if a triangle is equilateral, then it is equiangular
vertices
the three non collinear points of a triangle
equilateral
all three sides are equal
isosceles
at least 2 sides are equal
scalene
no sides are equal
equiangular
all three angles of a triangle are congruent
acute triangle
all three angles are acute
right triangle
one right angle
obtuse triangle
one obtuse angle
triangle sum theorem
all three angles in a triangle add up to 180
interior angles
angles on the inside of the triangle
exterior angles
angles on the outside of the triangle
exterior angles theorem
the measure of an exterior angle is equal to the sum of the two remote interior angles
corallary to the triangle sum theorem
the two acute angles in a right triangle are complimentary (when they are added together)
distance formula
d = the square root of (x2-x1)^2 + (y2-y1)^2
the sides of a triangle do not have to
add to 180
