7-4 Practice Parallel Lines and Proportional Parts

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.
̅̅̅̅ ∥ 
̅̅̅̅̅. Justify your answer.
Determine whether 
3. JN = 18, JL = 30, KM = 21, and ML = 35
5
4. KM = 24, KL = 44, and NL = 6 JN
̅̅̅̅
 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?