NAME _____________________________________________ DATE ____________________________ PERIOD _____________ 7-4 Practice Parallel Lines and Proportional Parts 1. If AD = 24, DB = 27, and EB = 18, find CE. 2. If QT = x + 6, SR = 12, PS = 27, and TR = x - 4, find QT and TR. ̅̅̅̅ ∥ 𝑵𝑴 ̅̅̅̅̅. Justify your answer. Determine whether 𝑱𝑲 3. JN = 18, JL = 30, KM = 21, and ML = 35 5 4. KM = 24, KL = 44, and NL = 6 JN ̅̅̅̅ 𝑱𝑯 is a midsegment of △KLM. Find the value of x. 6. 7. 7. Find x and y. 8. Find x and y. 9. MAPS On a map, Wilmington Street, Beech Drive, and Ash Grove Lane appear to all be parallel. The distance from Wilmington to Ash Grove along Kendall is 820 feet and along Magnolia, 660 feet. If the distance between Beech and Ash Grove along Magnolia is 280 feet, what is the distance between the two streets along Kendall? NAME _____________________________________________ DATE ____________________________ PERIOD _____________ 7-4 Word Problem Practice Parallel Lines and Proportional Parts 1. CARPENTRY Jake is fixing an A-frame. He wants to add a horizontal support beam halfway up and parallel to the ground. How long should this beam be? 4. FIREMEN A cat is stuck in a tree and firemen try to rescue it. Based on the figure, if a fireman climbs to the top of the ladder, how far away is the cat? 2. STREETS In the diagram, Cay Street and Bay Street are parallel. Find x. 5. EQUAL PARTS Nick has a stick that he would like to divide into 9 equal parts. He places it on a piece of grid paper as shown. The grid paper is ruled so that vertical and horizontal lines are equally spaced. 3. JUNGLE GYMS Prassad is building a two-story jungle gym according to the plans shown. Find x. a. Explain how he can use the grid paper to help him find where he needs to cut the stick. b. Suppose Nick wants to divide his stick into 5 equal parts utilizing the grid paper. What can he do?