What is the corollary to the triangle sum theorem?

A corollary to a theorem is a statement that can be proved easily by using the theorem. A useful corollary to the Triangle Sum Theorem involves exterior angles of a triangle. The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

Which of the following is the converse of Isosceles Triangle Theorem?

If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.

Is the converse of the isosceles triangle theorem true justify your answer?

The converse of the Isosceles Triangle Theorem is also true. If two angles of a triangle are congruent, then the sides opposite those angles are congruent. If ∠A≅∠B , then ¯AC≅¯BC .

What is converse ITT?

Converse of the Isosceles Triangle Theorem If two sides of a triangle are congruent, then angles opposite those sides are congruent. The Converse of the Isosceles Triangle Theorem states: If two angles of a triangle are congruent, then sides opposite those angles are congruent.

What is corollary in geometry?

In mathematics, a corollary is a theorem connected by a short proof to an existing theorem. In many cases, a corollary corresponds to a special case of a larger theorem, which makes the theorem easier to use and apply, even though its importance is generally considered to be secondary to that of the theorem.

What is the converse of the base angle theorem?

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

What is the converse of hinge Theorem?

The converse of the hinge theorem is also true: If the two sides of one triangle are congruent to two sides of another triangle, and the third side of the first triangle is greater than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second …

What is a converse theorem in geometry?

Converse of Alternate Interior Angles Theorem The Converse of the Alternate Interior Angles Theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

What is the converse of the statement if a triangle is isosceles then the triangle has two congruent sides?

If angles opposite those sides are congruent, then two sides of a triangle are congruent. That is awkward, so tidy up the wording: The Converse of the Isosceles Triangle Theorem states: If two angles of a triangle are congruent, then sides opposite those angles are congruent.

How do you prove a triangle is isosceles?

Explanation: One way of proving that it is an isosceles triangle is by calculating the length of each side since two sides of equal lengths means that it is an isosceles triangle.

What are the rules of an isosceles triangle?

Rules for Isosceles and Equilateral Triangles. The given triangle is an equilateral, it is said to be equiangular. The two sides of the triangle are said to be congruent, and then the two sides of the triangles are the base angles of an isosceles triangles. The triangle is said to be an equiangular, it is represented as equilateral.

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 are the properties of an isosceles triangle?

Properties of an isosceles triangle. (1) two sides are equal. (2) Corresponding angles opposite to these sides are equal. (3) Perpendicular drawn to the third side from the corresponding vertex will bisect the third side. (4) Hence the altitude drawn will divide the isosceles triangle into two congruent right triangles.