Question

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)?

Answer 1

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.

Answer 2

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.

Answer 3

hmm.. okay, but i'm not really seeing how that goes with the ITT

Answer 4

Tell me what ITT is exactly.

Answer 5

Put your ITT in the form

IF THIS

THEN THAT

That is the hypothesis. The rest just follows the recipe.

Answer 6

Okay, the ITT is
If a triangle has two congruent sides, then the angles oppositeof those sides are congruent

Answer 7

Okay. I figured the problem out now. Thanks for your help!

Answer 8

Good, I figured you would !