Question

Determine weather the following polygons are similar . If yes type yea in the similar box and type in the similarity statement and scale factor . If no type None in the blanks. For the scale factor, please enter a fraction. Use the foward dash to create a fraction .

Answer 1

From the given picture, we can note that the interior angles of both triangles measure the same, that is,

This implies that the triangles are similar each other. Then, first answer is:

Similar: YES

Then, the similarity statement is:

$\Delta ABC\approx\Delta NML$

Finally, if the left triangle is the original and the other triangle is the reduced one, the scale factor is

$scale\text{ factor=}\frac{hypotenuse\text{ of the }reduced\text{ triangle}}{hypotenuse\text{ of the }original\text{ triangle}}=\frac{5}{10}=\frac{1}{2}$

Then, the scale factor is:

$\frac{1}{2}$