Geometry Theorems and Axiomatic Reasoning Quiz

Triangle inequality theorem

Triangle sum theorem (correct)

Pythagorean theorem

Angle bisector theorem

The sum of the interior angles of any triangle is equal to 180 degrees.

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

The angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. (correct)

The area of a triangle is equal to half the product of two sides times the sine of the included angle.

Hypotenuse-leg congruence theorem

Midpoint theorem

Triangle inequality theorem (correct)

Angle-side-angle congruence theorem