# Transitive Property

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Transitive property represents logic statements between variables where conditions are put based on the equality and the inequality of the three variables. If A, B, and C are any three variables and if A is equal to B and B is equal to C, then according to Transitive property of equality even A is equal to C. Similarly, if A is greater than B and B is greater than C, then according to Transitive property of inequalities A is greater than C (it works the same for lesser than as well).

Example 1: Given ABC is a triangle, and measure of angle A is equal to the measure of angle B. If the measure of angle B is equal to the measure of angle C, then what is the relation between angle A and angle C?

Given: measure of angle A= measure of angle B

And measure of angle B= measure of angle C

Now in order to find the relationship between angle A and angle C, we can use the Transitive property of equality.

Hence, according to the property:

measure of angle A= measure of angle C

Example 2: In a birthday party, Ben has more number of candies than Jack and Jack has more number of candies than Katie. Between Ben and Katie, who has more number of candies?

Given: candies of Ben > candies of Jack

And candies of Jack > candies of Katie

Now in order to the number of candies in between Ben and Katie, we can use the Transitive property of inequality.

Hence, according to the property:

candies of Ben >candies of Katie