Question

Determine if the 2 triangles are similar. Explain how you came up with your answer.

Answer 1

To determine if the triangles are congruent we are going to use the SAS theorem of similarity.

SAS stands for "side, angle, side" and means that we have two triangles where:

• the ratio between two sides is the same as the ratio between another two sides

,

• and we we also know the included angles are equal.

Notice that the ratio between sides QW and SW is the same as the ratio between RW and ZW:

`\begin{gathered} (15)/(45)=(14)/(42) \\ (1)/(3)=(1)/(3) \end{gathered}`

hence the first condition of the theorem is fullfil.

We also notice that angle W is the same for triangle SZW and QRW, therefore the second condition for the theorem is alsso fullfilled.

Therefore we concldue that the triangles are similar.