Converse of isosceles triangle theorem states that ...........

The two angles that lie opposite to the two congruent sides of the isosceles triangle would also be congruent

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

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

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None of these

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Solution

The correct option is C If two angles of a triangle are congruent then the sides opposite to these angles are congruent.
Converse of isosceles triangle theorm states that if two angles of a triangle are congruent then the sides opposite to these angles are congruent.
If $∠ A = ∠ C$ then $A B = A C$ .

Therefore, option $B$ is correct.

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Similar questions

Q. State if True or False:
If two angles of a triangle are congruent, then the sides opposite to these angles are congruent.

Q. Select the correct statement for the following:

A

: The angles of an equilateral triangle are equal.

B

: Angles opposite to two congruent sides of a triangle are congruent.

Q. If two angles in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are ___ .

Q. If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Which of the following statements are true (T) and which are false (F):

(i) Sides opposite to equal angles of a triangle may be unequal.

(ii) Angles opposite to equal sides of a triangle are equal.

(iii) The measure of each angle of an equilateral triangle is 60°.

(iv) If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.

(v) The bisectors of two equal angles of a triangle are equal.

(vi) If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles.

(vii) The two altitudes corresponding to two equal sides of a triangle need not be equal.

(viii) If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent.

(ix) Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal equal to the hypotenuse and a side of the other triangle.

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