Question

If the two triangles shown below are similar based on the giveninformation, complete the similarity statement, otherwise choose the"Not Similar" button.А18 in9 inHB7 in14 inACAB-ANot Similar

Answer 1

1) Two triangles are similar if they have congruent angles and proportional sides (for each corresponding leg).

2) So let's check whether there are similar triangles by setting a proportion:

`\begin{gathered} (HC)/(CA)=(JH)/(CB) \\ (9)/(18)=(7)/(14) \\ Simplify\text{ both:} \\ (1)/(2)=(1)/(2) \end{gathered}`

3) So yes they are similar, i.e. ΔCAB ~ΔHGJ