Chapter 6.4, Problem 6E

To determine

To state: and correct the error in writing $\Delta BAC\sim \Delta EFD$ as another similarity.

Answer to Problem 6E

Thecorrect writing is

  $\Delta ABC\sim \Delta DEF$ .

Explanation of Solution

Given information: To analyze the error in writing $\Delta BAC\sim \Delta EFD$ .

In triangle ABC and DEF, if

  $\Delta BAC\sim \Delta EFD$

Then sides,

  $\text{BA }\ne \text{ EF,AC }\ne \text{ FD,BC }\ne \text{ ED}$

But if,

  $\Delta ABC\sim \Delta DEF$

Then sides, BA and EF, AC and FD, BC and ED are equal as the triangles are similar

Therefore , the correct writing is $\Delta ABC\sim \Delta DEF$