Q. 104.4( 25 Votes )

# Draw a labelled figure showing information in each of the following statements and write the antecedent and the consequent.

i. Two equilateral triangles are similar.

ii. If angles in a linear pair are congruent then each of them is a right angle.

iii. If the altitudes drawn on two sides of a triangle are congruent then those two sides are congruent.

Answer :

i. Two equilateral triangles are similar.

The conditional form of the above statement is:

If two triangles are equilateral then they are similar.

Antecedent: Two triangles are equilateral.

Consequence: The triangles are similar.

ii. If angles in a linear pair are congruent then each of them is a right angle.

Antecedent: Angles in a linear pair are congruent.

Consequence: Each of the angles is a right angle.

iii. If the altitudes drawn on two sides of a triangle are congruent then those two sides are congruent.

Antecedent: The altitudes drawn on two sides of a triangle are congruent.

Consequence: Those two sides are congruent.

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