Question

Based on the picture below (note that it is not drawn to scale), Maggie says that . Is she correct? Explain why or why not.

Answer 1

Explanation:

By using the property of similar triangles,

"Corresponding sides of two similar triangles are proportional"

If ΔSMA ~ ΔPOD

`(SM)/(PO)=(MA)/(OD)=(SA)/(PD)`

`(6)/(10)=(5)/(10)=(5)/(12)`

`(3)/(5)=(1)/(2)=(5)/(12)`

Since, ratios of corresponding sides are not equal,

Therefore, the given triangles are not similar.