Understanding Parallel Lines and Proportionality
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Beginner
Start here! Easy to understand
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Beginner Explanation
When a line DE parallel to BC intersects AB at D and AC at E in triangle ABC, it divides those sides proportionally: $\frac{AD}{DB} = \frac{AE}{EC}$
Practice Problems
Test your understanding with practice problems
1
Quick Quiz
Single Choice Quiz
Beginner
In a triangle ABC with DE ∥ BC, if AD = 4, DB = 6, and AE = 8, what is EC?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
Imagine you are designing a skateboard park with two parallel ramps. Because the ramps are parallel, corresponding lengths are proportional: $\frac{8}{12} = \frac{new}{15}$.
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Consider three parallel lines intersected by two transversals. If the first transversal is divided into segments of 5 and 7, and the second into 10 and $x$, find $x$ using corresponding segments.
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4
Challenge Quiz
Single Choice Quiz
Advanced
Given $AD \parallel BE \parallel CF$ and $\frac{AB}{BC} = \frac{DE}{EF}$, if $AB = 3$, $BC = 4$, and $DE = 6$, what is $EF$?
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