Question

Write the converse and contrapositive of if a triangle is equilateral it is isosceles

Answer 1

Answer:

Hey friend here is your answer explained

Step-by-step explanation:

Answer 2

Given :

A statement i.e. If a triangle is equilateral it is isosceles.

To Write : converse and contrapositive of the given statement

Solution :

•Given Statement is If a triangle is equilateral it is isosceles.

It consists of two statements i.e.

1) A triangle is equilateral (p) __(say)

2)A triangle is isosceles (q)___(say)

•So,Given statement is a compound statement which has relation If p then q

i.e. p ----->q

•Contra-positive of statement

p ----->q :

•The contra-positive of If p ----->q will be If negation of p then negation of q i.e. np ----->nq

•So Contra-positive of given statement will be

If a triangle is not equilateral then it is not isosceles.

•Converse of statement

p ----->q :

The converse of If p ----->q will be If negation of p then negation of q i.e. np ----->nq

•So Converse of given statement will be

If a triangle is isosceles then it is equilateral triangle .

•Hence , Contra-positive & converse of given statement is written .