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Blake
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RossThe 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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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 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.)
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.
Does the Isosceles Triangle Theorem states that if two sides of a triangle are congruent then the angles of those sides are congruent?
Yes an isosceles triangle has two equal sides and two equal angles.
Can an isosceles triangle Always be a right triangle?
In an isosceles triangle, two angles, and therefore sides (Base Angle Theorem), are congruent. This does not mean that all isosceles triangles are also right triangles - there is only one (45, 45, 90 triangle).
