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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.

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10y ago
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11y ago

The converse of "A implies B" is "B implies A".

The isosceles triangle theorem states that if two sides of a triangle are the same, then two angles of that triangle are the same.

The converse would be: if two angles of a triangle are the same, then two sides of that triangle are the same.

The converse of the isosceles triangle theorem also happens to be a provable theorem, but it is not always the case that the converse of a theorem is also true.

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9y ago

The Converse of the Isosceles Triangle Theorem states that if the base angles of an isosceles triangle are congruent, then you also know that the legs of the triangle are congruent too.

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Q: What is the Converse of isosceles triangle theorem?
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What is the Isosceles Triangle Theorem in Geometry?

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


If a triangle is isosceles then it is equalateral. what is the converse?

The converse is, "If a triangle is isosceles, then it is equilateral." Neither is true.


If two angles of a triangle are congruent then the sides opposite those angles are congruent by the converse to the Isosceles Triangle Theorem?

Yes, because an isosceles triangle has two equal base angles and two equal sides.


If a triangle has two congruent angles is it isosceles?

Yes, because of the base angles theorem converse: If two angles in a triangle are congruent, then the sides opposite the angles are congruent.


If a triangle is equilateral then it is isosceles What is the converse of the statement?

If a triangle is isosceles, then it is equilateral. To find the converse of a conditional, you switch the antecedent ("If ____ ...") and consequent ("... then ____."). (Of course, if not ALL isosceles triangles were equilateral, then the converse would be false.)


Does the Pythagorean theorem work on isosceles triangles?

it depens if the isosceles triangle is a right triangle or not


What is the converse of Pythagoras's theorem?

The converse of Pythagoras's theorem states :- "If the square of one side of a triangle is equal to the sum of square of other two sides then the triangle is a right angled triangle""


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.


The isosceles triangle theorem states that if two sides of a triangle are congruent then the opposite those sides are?

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


Are Base angles of an isosceles triangle are congruent?

Yes, the base angles of an isosceles triangle are always congruent. An isosceles triangle commonly has two sides that are equal in length. The base angles are the angles opposite those two equal sides of the triangle. A geometric theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. The converse is also true.