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

Answer:

Step-by-step explanation:

By using the property of similar triangles,

"Corresponding sides of two similar triangles are proportional"

If ΔSMA ~ ΔPOD

$\frac{SM}{PO}=\frac{MA}{OD}=\frac{SA}{PD}$

$\frac{6}{10}=\frac{5}{10}=\frac{5}{12}$

$\frac{3}{5}=\frac{1}{2}=\frac{5}{12}$

Since, ratios of corresponding sides are not equal,

Therefore, the given triangles are not similar.