Which of the following is a true proportion of the figure based on the triangle proportionality theorem?

Question 7 options:


A)


h/k=k/i



B)


k/j=i/j



C)


h/j=k/i



D)


j/h=j/k

Which of the following is a true proportion of the figure based on the triangle proportionality theorem Question 7 options A hkki B kjij C hjki D jhjk class=

Respuesta :

Answer:

C. [tex] \frac{h}{j} = \frac{k}{i} [/tex]

Step-by-step explanation:

Given that [tex] \overline{TU} [/tex] is parallel to [tex] \overline{QR} [/tex], therefore:

[tex] \frac{ST}{TQ} = \frac{SU}{UR} [/tex]

ST = h

TQ = j

SU = k

UR = i

Therefore substituting these into the equation, we have:

[tex] \frac{h}{j} = \frac{k}{i} [/tex]