# Very basic geometry theorems.Try to find it's difficult applications, and prove them

Right Angles- All right angles are congruent.

Straight Angles- All straight angles are congruent.

Congruent Supplements- Supplements of the same angle, or congruent angles, are congruent.
Congruent Complements- Complements of the same angle, or congruent angles, are congruent.
Linear Pair- If two angles form a linear pair, they are supplementary.

Vertical Angles- Vertical angles are congruent.

Triangle Sum- The sum of the interior angles of a triangle is 180º.

Exterior Angle- The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

The measure of an exterior angle of a triangle is greater than either non-adjacent interior angle.

Base Angle Theorem-

(Isosceles Triangle) If two sides of a triangle are congruent, the angles opposite these sides are congruent.

Base Angle Converse-

(Isosceles Triangle) If two angles of a triangle are congruent, the sides opposite these angles are congruent.

Note by Sattik Biswas
5 years, 1 month ago

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So you want us to derive the entirety of Euclidean geometry again? :P

- 5 years, 1 month ago

No. I mean if you want to do fine go ahead. What I am trying to say is that this are among some of the very basic theorems, using these basic theorems many difficult theorems has been proved. So I am just telling to explore that world a little bit.

- 5 years, 1 month ago

Oh okay, I didn't mean for you to get offended or anything.
Perhaps this belongs more in a wiki?

- 5 years, 1 month ago

Yes it does sir.

- 5 years, 1 month ago