Question

Determine whether the two polygrams are similar. If so write the similarities ratio in the similarity statement for question 2

Answer 1

For the triangles to be similar, sides MJ and NP have to be corresponding sides, also the pairs MR and KP, and KN and RJ would have to satisfy the same condition.

Recall that in similar triangles, the ratios of corresponding sides are equal.

Notice that:

`\begin{gathered} (MJ)/(NP)=(24)/(36)=(2)/(3), \\ (RJ)/(KN)=(10)/(15)=(2)/(3), \\ (RM)/(KP)=(26)/(39)=(2)/(3)\text{.} \end{gathered}`

From the above, we can conclude that the triangles are similar, with a similarity ratio of:

`(3)/(2)\text{.}`

Answer:

`(3)/(2)\text{.}`