What is corollary to the base angles Theorem?

Corollary to the Base Angles Theorem If a triangle is equilateral, then it is equiangular.

What is the corollary to the isosceles triangle theorem?

Corollary of the Isosceles Triangle Theorems: Perpendicular to the Base. The straight line that passes through the vertex angle of an isosceles triangle and is perpendicular to the base bisects the base and the vertex angle.

What is the base angles Theorem?

The Base Angle Theorem states that in an isosceles triangle, the angles opposite the congruent sides are congruent.

What is the triangle sum theorem?

Theorem: The sum of the measures of the interior angles of a triangle is 180°.

What is the hinge theorem in geometry?

The Hinge Theorem states that if two sides of two triangles are congruent and the included angle is different, then the angle that is larger is opposite the longer side.

Does the base angles theorem apply to right triangles?

Because the base angles of an isosceles triangle are congruent, if one base angle is a right angle then both base angles must be right angles.

How do you prove a right triangle?

The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

How is a corollary related to a theorem?

In mathematics, a corollary is a theorem connected by a short proof to an existing theorem . The use of the term corollary, rather than proposition or theorem, is intrinsically subjective. Sep 8 2019

What is an example of a corollary?

A corollary is defined as an idea formed from something that is already proved. If a+b=c, then an example of a corollary is that c-b=a . The definition of a corollary is a natural consequence, or a result that naturally follows. Obesity is an example of acorollary of regularly over-eating. YourDictionary definition and usage example.

Do isosceles triangle always have three congruent angles?

Q. Isosceles triangles always have EXACTLY two congruent angles.

What is the converse base angles theorem?

If two sides of a triangle are congruent, then the angles opposite those sides are congruent. The converse of the base angles theorem, states that if two angles of a triangle are congruent, then sides opposite those angles are congruent.