Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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.

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.