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Chapter 1: Q53. (page 59)

Which illustrates the Transitive Property of Equality?

F Ifc=1thenc鈰�1c=1.

G Ifc=dandd=fthenc=f.

H Ifc=dthend=c.

J Ifc=dandd=cthenc=1.

Short Answer

Expert verified

The correct choice is Option G: 鈥淚fc=d andd=f then c=f鈥�

Step by step solution

01

Step 1. State the concept.

According to the Transitive Property of Equality, if a quantity is equal to the second quantity and if the second quantity is equal to a third quantity, then the first quantity is equal to the third quantity.

02

Step 2. List the given options.

The given options are:

F Ifc=1, then c鈰�1c=1.

G Ifc=d andd=f then c=f.

H Ifc=d then d=c.

J Ifc=d andd=c then c=1.

03

Step 3. Determine the correct option.

Investigating each option, it is clear that the Option G: 鈥淚fc=d andd=f then c=f鈥� illustrates the transitive property of equality.

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