Chapter 7, Problem 6CT

To determine

To write: the name of the postulate, that justifies the given statement.

Answer to Problem 6CT

Angle-Angle similarity theorem

Explanation of Solution

Given information:In $\Delta AVB$ and $\Delta NVK$ , $\angle A=\angle N=60°$ .

The given figure is as follows:

  

Angle-Angle similarity criterion states that if two angles of one triangle are equal to two

angles of another triangle, the triangles are similar.

In $\Delta AVB$ and $\Delta NVK$ ,

  $\angle A=\angle N$ and $\angle V$ is common angle

So, $\Delta AVB\sim \Delta NVK$ by Angle-Angle similarity theorem.

Hence,the theorem that justifies the given statement isAngle-Angle similarity theorem.