Understanding Parallel Lines and Proportionality
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Beginner
Start here! Easy to understand
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Beginner Explanation
When parallel lines intersect two transversals, they divide them proportionally. For example, if segments on one transversal are a and b and on the other are c and d, then $\frac{a}{b} = \frac{c}{d}$.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
If $\frac{8}{6} = \frac{10}{x}$, what is $x$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
In a city, parallel streets cut through two avenues. If the distance between intersections on one avenue is $5 \text{ meters}$ and $7 \text{ meters}$, and the other avenue is cut into segments of $10 \text{ meters}$ and $x$, find $x$.
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Given that $\frac{AB}{BC} = \frac{DE}{EF}$ where $AB = 3\text{ cm}$, $BC = 4\text{ cm}$, and $DE = 9\text{ cm}$, find the length $EF$.
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4
Challenge Quiz
Single Choice Quiz
Advanced
If three parallel lines intersect two transversals and $\frac{GH}{HJ} = \frac{KL}{LM}$, what is $HJ$ if $GH = 12$, $KL = 15$, and $LM = 20$?
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