What is the converse of a triangle?

What is the converse of a 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.

What is meant by converse of theorem?

Do you know what converse means? The converse of a theorem happens when the conclusion and hypothesis of a theorem are switched. For example, if you have a general theorem that says ”if this, then that”, then the converse theorem would say ”if that, then this”.

What is the converse of the Pythagorean Theorem?

The converse of the Pythagorean Theorem states that if the square of the third side of a triangle is equivalent to the sum of its two shorter sides, then it must be a right triangle. In other words, the converse of the Pythagorean Theorem is the same Pythagorean Theorem but flipped.

What is the converse of the triangle inequality theorem?( 1 point?

The converse of the triangle inequality theorem is also true: if three real numbers are such that each is less than the sum of the others, then there exists a triangle with these numbers as its side lengths and with positive area; and if one number equals the sum of the other two, there exists a degenerate triangle ( …

What is converse of Midpoint Theorem?

The converse of the midpoint theorem states that ” if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side”.

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.

What does converse mean in logic?

converse, in logic, the proposition resulting from an interchange of subject and predicate with each other.

What does converse mean in geometry examples?

about mathwords. website feedback. Converse. Switching the hypothesis and conclusion of a conditional statement. For example, the converse of “If it is raining then the grass is wet” is “If the grass is wet then it is raining.”

What is triangle inequality theorem 2?

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. In other words, as soon as you know that the sum of 2 sides is less than (or equal to) the measure of a third side, then you know that the sides do not make up a triangle.

What is the triangle inequality theorem?

triangle inequality, in Euclidean geometry, theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In essence, the theorem states that the shortest distance between two points is a straight line.

How do you prove converse of the mid point theorem?

Proof. Let E and F be the midpoints of AC and AB respectively, and G the intersection of the medians BE and CF. Construct the parallel through C to BE, and extend AG to intersect BC at D, and this parallel at H. By the converse of the midpoint theorem, G is the midpoint of AH, and HC = 2 · GE.