Question

If 1=2 and 2=4 , what property allows you to state that 1=4

a. Distributive Property of Congruence

b. Symmetric Property of Congruence

c. Reflexive Property of Congruence

d. Transitive Property of Congruence

Answer 1

Answer: Transitive Property of Congruence. ( TPC)

Step-by-step explanation: This is the property that allows you to say that 1=4 because of (Corresponding Parts of Congruent Figures, CPCCF, but this is not a property.)

QUICK TIP:Transitive Property of Congruence can also be replaced for the Substitution Property!

Answer 2

Option: d is the correct answer.

d. Transitive Property of Congruence

Explanation:

Transitive Property of Congruence--

It states that if for any three elements a,b and c of a set A are such that:

a is related to b by some relation R i.e. aRb

and b is related to c by the same relation R i.e. bRc

then a will be related to c by the relation R i.e. aRc

Here we have: 1=2

i.e. 1 is related to 2 by a equality sign

and 2=4

i.e. 2 is related to 4 by a equality sign.

Then 1 will be related to 4 by the same equality sign

i.e. 1=4 (By the property of transitive property of congruence)