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Isosceles Triangle ProofsTheorems and practice Proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles. Therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.
Theorems and Postulates for proving triangles congruent Hypotenuse Leg Theorem | Side Side Side | Side Angle Side | Angle Side Angle | Angle Angle Side |isosceles triangle proofs|CPCTC | indirect proof| quiz on all theorems/postulates Isosceles Triangle
An isosceles triangle has two congruent sides and two congruent angles. The congruent angles are called the base angles and the other angle is known as the vertex angle.  BAC and BCA are the base angles of the triangle picture on the left. The vertex angle is ABCIsosceles Triangle TheoremsThe Base Angles TheoremIf two sides of a triangle are congruent, then the angles opposite those sides are congruent.Converse of the Base Angles Theorem The converse of the base angles theorem, states that if two angles of a triangle are congruent, then sides opposite those angles are congruent.
Theorems and Postulates for proving triangles congruent
Hypotenuse Leg Theorem | Side Side Side | Side Angle Side | Angle Side Angle | Angle Angle Side |isosceles triangle proofs|CPCTC | indirect proof| quiz on all theorems/postulates
See this isosceles Triangle proof all by itself(opens up new window, makign it easier to see entirity of proof below)
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