How Can You Prove a Triangle Is Isosceles?
Proofs involving isosceles triangles often require special consideration because an isosceles triangle has several singled-out backdrop that do non apply to normal triangles.(More nearly triangle types) Therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you accept a few theorems that you can utilize to make your life easier.
Isosceles Triangle
An isosceles triangle has 2 congruent sides and two congruent angles. The congruent angles are called the base angles and the other angle is known as the vertex angle. $$ \angle $$BAC and $$ \angle $$BCA are the base angles of the triangle picture on the left. The vertex angle is $$ \angle $$ABC
Isosceles Triangle Theorems
The Base of operations Angles Theorem
If ii sides of a triangle are congruent, then the angles reverse those sides are congruent.
Antipodal of the Base Angles Theorem
The antipodal of the base angles theorem, states that if two angles of a triangle are congruent, then sides opposite those angles are congruent.
Proof 1
Proof 2
- Theorems and Postulates for proving triangles congruent
- Hypotenuse Leg Theorem
- Side Side Side
- Side Angle Side
- Bending Side Angle
- Angle Bending Side
- isosceles triangle proofs
- CPCTC
- indirect proof
- quiz on all theorems/postulates
- Images
- Complimentary Math Printable Worksheets
- Worksheets & Activities on Triangle Proofs
Source: https://www.mathwarehouse.com/geometry/congruent_triangles/isosceles-triangle-theorems-proofs.php
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