Question

12357:23Westin is comparing the triangles below.H Н4 cm27G117°8 cmF117LKSave and ExitNextSubmitMark this and return

Answer 1

Answer:

The last option: The angle in the listed order do not correspond.

Explanation:

The two triangles are similar because they share two angles (117 and 27) and their corresponding sides (8 cm and 4 cm) are in a ratio. The similarity statement is

$\text{HGF}\sim\text{JLK}$

the order of the similarity statement above indicates that

H = J

G = L

F = K

and

$\begin{gathered} GH\sim JL \\ GF\sim LK \\ HF\sim JK \end{gathered}$

However, Westin writes

$\text{HGF}\sim\text{LJK}$

which suggests that H = L and G = J and that is not true.

Therefore we conclude the westin's statement is false since it doesn't given the angles in correct order.