Question

Write converse, inverse and contrapositive of the following conditional statements.
(i) If an angle is a right angle then its measure is 90°.
(ii) If two triangles are congruent, then their areas are equal.
(iii) if f(2) = 0 then f(x) is divisible by (x-2).

Answer 1

1- Inverse 2- contrapositive

Answer 2

Answer:

Step-by-step explanation:

Contrapositive. Switching the hypothesis and conclusion of a conditional statement and negating both

inverse - Negating both statements

Converse - reversal of both statements

(i) If an angle is a right angle then its measure is 90°.

Inverse - If an angle is a not right angle then its measure is not 90°.

Converse - if the measure of an angle is 90° then it is right angle

Contrapositive -  if the measure of an angle is not 90° then it is not right angle

(ii) If two triangles are congruent, then their areas are equal.

Contrapositive - if Area of two triangles is not equal then two triangles are not congruent

(iii) if f(2) = 0 then f(x) is divisible by (x-2).

Inverse - If f(2) is not equal to 0 the f(x) is not divisible by x -2

Converse - if  f(x) is divisible by (x-2)  then  f(2) = 0

Contrapositive - if  f(x) is not divisible by (x-2)  then  f(2) is not equal to  0