bigideasmath.com
Proportionality
Find the length of DC
Prove whether or not DE [math]\parallel[/math] AC.
Prove whether or not DE [math]\parallel[/math] AC.
Create a triangle within [math]\bigtriangleup[/math]ABC that is EXACTLY 1/4 the size of the original triangle.
What is the ratio of AG:GB?
Given that [math]AB\parallel CF\parallel DE[/math] what segment would complete the following ratio correctly?[br][br][math]\frac{BD}{DF}=\frac{?}{EC}[/math]
What's the distance of DF?
What's the measure of BC?
Real world
The real estate term [i]lake frontage[/i] refers to the distance along the edge of a piece of property that touches a lake.
Find the lake frontage (to the nearest tenth) of each lot shown. In general, the more lake frontage a lot has, the higher its selling price. Which lot(s) should be listed for the highest price? Suppose that lot prices are in the same ratio as lake frontages. The least expensive lot is $250,000. Use your rounded values from part (a) to find the prices of the other lots. Round your answers to the nearest thousand dollars.