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Conditional Statements and Its Converse

The anteceden...

Question

The antecedent of the conditional statement "If all sides of a triangle are congruent then its all angles are congruent" is :

A

All sides of a triangle are congruent

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B

All angles of triangle are congruent.

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C

If all the angles of the triangle are congruent then its all sides are congruent.

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D

All angles and sides of the triangle are congruent.

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Solution

The correct option is A All sides of a triangle are congruent
In a conditional statement the statement followed by "if" is called as antecedent and the statement followed by "then is is called consequent.
In the given statement "All sides of triangle are congruent" is antecedent and "All angles of triangle are congruent" is consequent.

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Similar questions

Write the antecedent (given part) and the consequent (part to be proved) in the following statements.

(i) If all sides of a triangle are congruent then its all angles are congruent.

(ii) The diagonals of a parallelogram bisect each other.

Q. Which of the following statements are true and which of them are false?

(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two figures have equal areas, they are congruent.
(iv) If two triangles are equal in area, they are congruent.
(v) If two sides and one angle of a triangle are equal to the corresponding two sides and angle of another triangle, the triangle are congruent.
(vi) If two angles and any side of a triangle are equal to the corresponding angles and the side of another triangle then the triangles are congruent.
(vii) If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.
(viii) If the hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle then the triangle are congruent.
(ix) If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
(x) If two triangles are congruent then their corresponding sides and their corresponding angles are congruent.

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.

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 ___ .

If lengths of all the sides of two triangles are same, then the triangles are congruent.

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Conditional Statements and Its Converse

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