Question

If △HLI ~ △JLK by the SSS similarity theorem, then StartFraction H L Over J L EndFraction = StartFraction I L Over K L EndFraction is also equal to which ratio? StartFraction H I Over J K EndFraction StartFraction H J Over J L EndFraction StartFraction I K Over K L EndFraction StartFraction J K Over H I EndFraction

Please help ! :(

Answer 1

Answer:

Im sure its too late for the answer, but the correct answer is as follows:

Step-by-step explanation:

A - HI/JK

Just did this myself.. :)

Answer 2

The similarities of triangles can be proved using several similar triangle theorems:

The true statement is: (a) $\frac{HL}{JL} = \frac{IL}{KL}$

From the question, we have:

$\triangle HLI \sim \triangle JLK$

The above means that, the triangles are similar.

So, the ratio of the corresponding sides must be equal

In other words,

• $\frac{HL}{JL} = \frac{IL}{KL}$

• $\frac{HI}{JK} = \frac{IL}{KL}$

• $\frac{LI}{LK} = \frac{IL}{KL}$
• And so on.

By comparing the given options with the possible ratios, we can conclude that the true statement is: (a) $\frac{HL}{JL} = \frac{IL}{KL}$

Read more about similar triangles at:

https://brainly.com/question/14926756