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4-5 Isosceles and Equilateral Triangles
G.CO.10:
Prove theorems about triangles…
base angles of isosceles are congruent
G.CO.13, G.SRT.5
Objective:
Use and apply properties of isosceles and equilateral triangles.
Isosceles Triangles
Def: Legs – congruent sides of
an isosceles triangle
Think about your legs when you
stand….are they congruent?....
I hope so
Def: Base – the 3rd side
Def: Vertex angle: angle formed by the congruent legs.
Def: Base angle: the other 2 angles of the triangle
If AC  BC ,
ThenA  B
More fun with theorems…
IfA  B,
Then AC  BC
If ADbi sec tsBAC
then AD  BC
AB
C
27
AC
90
C
27
90
117
63
• Def: Corollary – a theorem that can be proved
by easily using another theorem…
If XY  YZ  ZX
then X  Y  Z
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