Download Isosceles Triangle Theorem

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

History of geometry wikipedia , lookup

Dessin d'enfant wikipedia , lookup

Tessellation wikipedia , lookup

Steinitz's theorem wikipedia , lookup

Simplex wikipedia , lookup

Euler angles wikipedia , lookup

Golden ratio wikipedia , lookup

Apollonian network wikipedia , lookup

Noether's theorem wikipedia , lookup

Riemann–Roch theorem wikipedia , lookup

Brouwer fixed-point theorem wikipedia , lookup

Four color theorem wikipedia , lookup

Rational trigonometry wikipedia , lookup

Trigonometric functions wikipedia , lookup

Euclidean geometry wikipedia , lookup

Reuleaux triangle wikipedia , lookup

History of trigonometry wikipedia , lookup

Incircle and excircles of a triangle wikipedia , lookup

Integer triangle wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Transcript
Isosceles and Equilateral
Triangles (4.5)
Isosceles Triangle Theorem
If 2 sides of a triangle are congruent, then
the angles opposite those sides are
congruent.
Anatomy of an Isosceles Triangle
Converse of Isosceles Triangle Theorem
If 2 angles of a triangle are congruent, then
the sides opposite the angles are
congruent.
Theorem 4-5
The bisector of the
vertex angle of an
isosceles triangle is
the perpendicular
bisector of the base.

Equilateral Triangles
Corollary to Theorem 4-3:
If a triangle is equilateral, then the
triangle is equiangular.
Equilateral Triangles
Corollary to Theorem 4-4:
If a triangle is equiangular, then the
triangle is equilateral.