Q:

# What is a corollary in geometry?

A:

In geometry, a corollary is a statement that is proven true by another statement or considered to be a consequence of a statement's truth. Corollaries are believed to be true without additional proof besides the initial true statement.

## Keep Learning

Credit: TIM MCCAIG E+ Getty Images

An example of a corollary is that an equilateral triangle is always equiangular because it is known that on a triangle, angles that oppose two congruent sides are always congruent. Because the triangle has all congruent or equal sides, it is equilateral. Because the angles are congruent, the triangle is equiangular, or with equal angles. Therefore, the corollary is known as true by the original statement or theorem.

Sources:

## Related Questions

• A: The corollary to the triangle sum theorem is the law of cosines, better known as the Pythagorean theorem. This theorem is often used in calculus courses.... Full Answer >
Filed Under:
• A: Two rays that meet at a common endpoint are called an angle in geometry. In an angle, the rays are its sides and the endpoint is the vertex.... Full Answer >
Filed Under:
• A: Studying geometry helps students improve logic, problem solving and deductive reasoning skills. The study of geometry provides many benefits, and unlike so... Full Answer >
Filed Under:
• A: In geometry, the flat surface of a solid figure is referred to as a "face." A solid figure is a three-dimensional geometric shape that contains "faces," "v... Full Answer >
Filed Under:
PEOPLE SEARCH FOR