Chapter 7.4, Problem 3CE

To determine

To state: Whether the given statement is true or false.

Answer to Problem 3CE

The given statement is False.

Explanation of Solution

Given information: $\Delta ABC\sim \Delta DEF$ and $\angle B=70°$

  

Two polygons are said to be similar if the following conditions are satisfied:

1. Corresponding sides of the polygons are proportional.
2. Corresponding angles of the polygons are equal.

As $\Delta ABC\sim \Delta DEF$ ,

  $\angle A=\angle D,\angle B=\angle E,\angle C=\angle F$

So,

  $\angle F=\angle C$ and $\angle B=\angle E$

That is if $\angle B=70°$ then it is not necessary that $\angle F=70°$ as $\angle F$ must be equal to $\angle C$ not $\angle B$