Parallel Lines in an Isosceles Triangle: Are DA and BF Parallel?

The triangle ABC is isosceles.

Is the line segment DA parallel to BF?

AAABBBCCCDDDEEEGGGFFF60606060

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Is line D A parallel to line B F?
00:10 Great question! When lines are parallel, alternate angles are equal, just like in a mirror.
00:40 Since alternate angles are equal here, the lines must be parallel.
00:48 Remember, if lines are parallel, their extensions are also parallel.
00:53 And that's how we solve this problem! Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The triangle ABC is isosceles.

Is the line segment DA parallel to BF?

AAABBBCCCDDDEEEGGGFFF60606060

3

Final Answer

Yes

Practice Quiz

Test your knowledge with interactive questions

The lines below are not the same size, but are they parallel?

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Parallel and Perpendicular Lines questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations