Posted by Jeffrey on Friday, January 18, 2008 at 10:48am.
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)?

Honors Geometry  Damon, Friday, January 18, 2008 at 10:55am
Here is how I remember this:
1. hypothesis
If a cow, then a mammal.
assume true
2. converse
If a mammal, then a cow.
maybe
3. inverse
If not a cow, then not a mammal.
maybe
4. contrapositive
If not a mammal, then not a cow.
true
You can also draw Venn diagram to remember this.

Honors Geometry  Damon, Friday, January 18, 2008 at 11:07am
So
I am not sure how your book stated theorem, there are several "isosceles triangle theorems.
here is perhaps the most likely:
Hypothesis:
If two sides equal, then opposite angles equal.
Inverse
If two sides not equal, then opposite angles not equal
Contrapositive
If two angles not equal, then opposite sides not equal.

Honors Geometry  Jeffrey, Friday, January 18, 2008 at 11:10am
hmm.. okay, but i'm not really seeing how that goes with the ITT

Honors Geometry  Damon, Friday, January 18, 2008 at 11:16am
Tell me what ITT is exactly.

Honors Geometry  Damon, Friday, January 18, 2008 at 11:18am
Put your ITT in the form
IF THIS
THEN THAT
That is the hypothesis. The rest just follows the recipe.

Honors Geometry  Jeffrey, Friday, January 18, 2008 at 11:25am
Okay, the ITT is
If a triangle has two congruent sides, then the angles oppositeof those sides are congruent

Honors Geometry  Jeffrey, Friday, January 18, 2008 at 1:49pm
Okay. I figured the problem out now. Thanks for your help!

Honors Geometry  Damon, Friday, January 18, 2008 at 3:54pm
Good, I figured you would !
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