posted by Jeffrey on .
I'm stuck on these 2 problems. My Geometry teacher won't help me.
What is the inverse of the Isosceles Triangle Theorem (ITT)?
What is the contrapositive of the Isosceles Triangle Theorem (ITT)?
Here is how I remember this:
If a cow, then a mammal.
If a mammal, then a cow.
If not a cow, then not a mammal.
If not a mammal, then not a cow.
You can also draw Venn diagram to remember this.
I am not sure how your book stated theorem, there are several "isosceles triangle theorems.
here is perhaps the most likely:
If two sides equal, then opposite angles equal.
If two sides not equal, then opposite angles not equal
If two angles not equal, then opposite sides not equal.
hmm.. okay, but i'm not really seeing how that goes with the ITT
Tell me what ITT is exactly.
Put your ITT in the form
That is the hypothesis. The rest just follows the recipe.
Okay, the ITT is
If a triangle has two congruent sides, then the angles oppositeof those sides are congruent
Okay. I figured the problem out now. Thanks for your help!
Good, I figured you would !