Question

Select the correct answer from each drop-down menu.

Answer 1

In the figure, CD = EF and AB = CE

To prove that AB = DF:

Step 1:  

Given CD = EF, so we can substitute EF instead of CD.

CD + DE = EF + DE

by the Substitution Property of Equality.

Here, Option C is the correct answer.

Step 2:  

CD + DE = CE and

EF + DE = DF

by Segment Addition.

Here, Option C is the correct answer.

Step 3:  

From step 1, CD + DE = EF + DE

From step 2, CE = DF

So, CE = DF by the Transitive Property of Equality.

Here, Option D is the correct answer.

Step 4:  

Given AB = CE and CE = DF

⇒ AB = DF

by the Transitive Property of Equality.

Here, Option D is the correct answer.

Hence proved.