FIII In the Dianes WO UUInpreCE Ball NOVICIN. those sides 1. If a line parallel to a side of a triangle intersects the other two sides, then it divides Find each length. 15 2. If three or more parallel lines intersect two transversals, then they divide the N 14 - 49 - proportionally. 3. An of a triangle divides the opposite side into two segments 13. MV whose lengths are proportional to the lengths of the other two sides. 12BH 100 4. If a line divides two sides of a triangle proportionally, then it Is parallel to the 12 0 Verify that the given segments are parallel. In Exercises 5 and 6, set up a ratio and substitute values from the figure to find each length. 14. PQ and NM Q 10 M 8 5 5. LS 6. BK 2.1 Complete Exercises 7 and 8 to verify that HI | XY. 1.5 Y 20 /4. WX and DE 7. Check that the sides are proportional. 25 JX E XH YI = 8. If the two ratios in Exercise 7 are equal, then sides HJ and /J are divided proportionally If the sides are proportional, then HI is parallel to XY. Tell whether Hi is parallel to XY. 62 ft 8 75 it C 66 it Use the figure for Exercise 9. The figure shows part of a freeway 2 32 yd The figure shows three lots in a housing development. interchange. The raised freeway is supported by vertical, parallel If the boundary lines separating the lots are parallel, pillars. Set up a ratio and solve to find the length. what is GF to the nearest tenth? F 9. Use a calculator to find AQ to the nearest tenth of a yard. HL 66 G 30 yd B 24 Yd A 10 ) GF 11HJ find X. 20 30 24 30 H 17 ) Find x 15X 3x + 9 SE On the map, 5th Ave., 6th Ave., and 7th Ave. are parallel. What is the length 5th 6th 7th of Main St. between 5th Ave. and 6th Ave.? Ave, Ave. Ave. Find Y 18 X Main St 0.4 km Spring St 0.5 km 0.3 km