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Converse of the Hinge Theorem:

  • If tow sides of one triangle are congruent to two sides of another triangle and the the included angles are not congruent, then the included angle that is larger has the longer third side across from it.
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Q: What is the converse of the Hinge Theorem?
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Converse of Pythagorean Theorem?

The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.


State the Perpendicular Bisector Theorem and its converse as a biconditional?

Biconditional Statement for: Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment. Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.


What is the difference between the pythagorean theorem and the converse of the pythagorean theorem?

The Pythagorean Theorem states that in a right triangle with legs a and b and hypotenuse c, a2 + b2 = c2. The converse of the Pythagorean theorem states that, if in a triangle with sides a, b, c, a2 + b2 = c2 then the triangle is right and the angle opposite side c is a right angle.


Does the pythagorean theorem have a converse?

Yes. If the square of the longest side of a triangle is equal to the sum of the squares on the other two sides, then the triangle is right angled.


Which formula can be derived by using the Pythagorean theorem in the coordinate plane?

The Pythagorean theorem, which is the square root of the sum of the squares of two sides of a right triangle is equal to the hypotenuse, can be used to find the distance between two points. This means that it can also be used to find the equation of a line.

Related questions

Is this statement true or falseThe Converse of the Hinge Theorem can be used to determine exact measures of angles?

false


Why the name hinge theorem is used for theorem?

The theorem emulates the action of a hinge. As the angle of the hinge is increased the distance between the free edges increases.


Why is hinge theorem called hinge theorem?

because it works like a door hinge. When the door hinge is opened wider the angle is greater and when opened less the angle would be lesser.


What is the Converse of isosceles triangle theorem?

The isosceles triangle theorem states that if two sides of a triangle are congruent, the angles opposite of them are congruent. The converse of this theorem states that if two angles of a triangle are congruent, the sides that are opposite of them are congruent.


what- can the hinge theorem be used to compare QRT?

no


Is Converse of linear pair theorem true?

No.


Is converse of intercept theorem possible?

Yes


Converse of Pythagorean Theorem?

The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.


Which angles can be compared using the Hinge Theorem?

UVT


Who gave ' converse of basic proportionality theorem'?

Thales


Norton's theorem is Converse of thevenin's theorem?

find current throrgh RL by using menemims


How do you write the converse of perpendicular bisector theorem easier to understand?

The converse of perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.