Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

AC, DF, and GI are parallel. Use the figure to complete the proportion.


BE
AD
JB
BC

AC DF And GI Are Parallel Use The Figure To Complete The ProportionBEADJBBC class=
AC DF And GI Are Parallel Use The Figure To Complete The ProportionBEADJBBC class=

Sagot :

SlowZasob
JA / JC = AB / BC because, as we can see in the picture above, it's the same proportion. So the answer is the fourth one - BC.

I hope that's what you meant and if so that it will help you :)

Answer:

Given: AC, DF, and GI are parallel.

Solution:

In ΔJAB and ΔJDE

∠J is common.

∠JAB=∠JDE→→As, AB║DE, so corresponding angles are equal.

ΔJAB ~ ΔJDE→→[AA similarity]

Similarly, we can prove that,  ΔJ C B and ΔJ FE by AA similarity.

As, we know when triangles are similar their sides are proportional.

[tex]\frac{JA}{JD}=\frac{JB}{JE}=\frac{AB}{DE}\\\\ \frac{JB}{JE}=\frac{JC}{JF}=\frac{BC}{EF}[/tex]

[tex]\frac{JA}{AB}=\frac{1}{JE}\\\\\frac{JC}{BC}=\frac{1}{JE}\\\\\frac{JA}{AB}=\frac{JC}{BC}\\\\= \frac{JA}{JC}=\frac{AB}{BC}[/tex]

Option 4: BC is correct choice.

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.