Math Models: Scale Factor HW Name_______________________________ Block________Date___________________ Are the following polygons similar? Justify your answer. Show scale factors and mark congruent angles. 12m 1. 2. 3. 15ft 12cm 45 75 18ft 21ft 9m 8cm 28ft 24ft 16m 6cm 20ft 12m 120 9cm 105 SHOW ALL WORK on the following problems. 4. A regular pentagon with a side 2ft 4in long is to be enlarged to a regular pentagon with a perimeter of 56ft. Are the two polygons similar? If so, find the scale factor. 6. f varies directly as m. If f is 17.6 and m is 12.4, what is the constant of variation? Express your answer as a fraction AND as a decimal. 5. The dimensions of a college football field are 360’ by 160’. An arena football field has dimensions of 50yards by 25 yards. Are the fields similar? If so, find the scale factor. 7. In May Mars will be about 1.48 108 km from earth. This is about 619.6 times the average distance from earth to the Moon. About how far away is the Moon? Solve for x in each problem and find the angles. SHOW YOUR WORK! 8. 9. (3x + 10) 52 (5x + 4) x 10. (x2 + 45) (2x + 100) 11. VH is a base of Trapezoid AGHV. Sketch Trapezoid AGHV. What is the other base? If m V = 23º and AG is perpendicular to GH , find m A and m H. 12. 13. 46 x x 126 68 14. Find the measure of each angle in ABC. North B 128 27 West East A C