Question

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

Answer 1

Answer:

C. $\frac{h}{j} = \frac{k}{i}$

Step-by-step explanation:

Given that $\overline{TU}$ is parallel to $\overline{QR}$, therefore:

$\frac{ST}{TQ} = \frac{SU}{UR}$

ST = h

TQ = j

SU = k

UR = i

Therefore substituting these into the equation, we have:

$\frac{h}{j} = \frac{k}{i}$