TTriangle H L I is shown. Line segment J K is drawn near point L to create triangle J L K. 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

Question:

HLI is shown. Line segment JK is drawn near point L to create JLK. If HLI ~ JLK by the SSS similarity theorem, then is also equal to which ratio?

Step-by-step explanation:

Given

HLI ~ JLK

Required

Which other ratio equals

HLI ~ JLK  implies that:

HL, IL and HI corresponds to JL, KL and JK respectively.

So, the possible ratios are:

HL : IL : HI = JL : KL : JK

Convert to fractions

So, from the list of options

is equivalent to

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step-by-step explanation: