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A#8-3 NAME____________________________________DATE__________________PER._______ MORE SIMILAR POLYGONS 5 POINTS EACH 1. a)A __________ ABCD WXYZ below. Use these figures to answer the questions. b) B __________ A B c)C __________ W X d)D __________ e) AB 2. YES or ZY NO Z C D BC Y Are the two triangles shown below similar? F C Explain: 32 12 in 8 in 110 38 A 6 in B 18 in 12 in 110 D E 9 in 3. __________ What is the scale factor of FDE to CAB in problem #2? 4. __________ What is the ratio of the perimeter of FDE to CAB? 5. __________ How does the scale factor and ratio of the perimeters of FDE to CAB compare? For each of the following, each pair of polygons is similar. Find the values of ‘x’ and ‘y’. F 6. x = __________ A y = __________ 15 x+2 D B 8 y-3 98 y = __________ G 87 5 10 C H 7. x = __________ G E H I M (y + 30) J L (x – 40) N 60 O 5 POINTS EACH A#8-3 PG. 2 K 8. x = __________ 6 y = __________ R y 12 4 30 J L y = __________ Q S T D 9. x = __________ 12 cm 10 cm G 12 cm 12 + x 20 cm E S A y A 10. x = __________ T y = __________ x 80 3 in L C 6 in 10 in 6 in y N E x A 11. x = __________ D y = __________ 9 3 y 2 M x+4 C I 4 S Solve each of the following. 12. Measures (6): The sum of the measures of the interior angles of a hexagon is 720. The measures of the angles of a particular hexagon are in the ratio 4:5:5:8:9:9. What are the measure of these angles? 13. Measures (2): The ratio of the measure of two complementary angles is 4:5. What are the measures of the angles? A#8-3 PG. 3 5 POINTS EACH REVIEW PROBLEMS Solve for ‘x’ in each of the following. 14. x = __________ x 6 5x 3 9 15. x = __________ 2 x 7 12 7 x 9 6 Set up a proportion and solve. 16. __________ For field trips, the Brighton School requires that the teacher to student ratio be at least 2:15. If there are 45 students on a field trip, what is the least number of teachers needed to supervise? 17. __________ Recall that the slope of a line is a ratio of the rise to the run. If a line 3 has a slope of , and you have chosen two points on the line that have 5 a rise of 15, what is the run? TAKS PRACTICE Find the correct answer for each of the following. Clearly circle/bubble in your answer where appropriate. Work must be shown in order to receive credit. 18. Which of the following statements is true? 19. What is the measure of E in the figure below? 77 A. If two figures are similar, then they are congruent. E (6x+8) B. If two figures are congruent, then they are similar. C. If two figures are similar, then their corresponding sides have the same length. D. Not Here H F A. B. C. D. (9x-10) 19 90 122 161 G 5 POINTS EACH A#8-3 PG. 4 20. The angles of a triangle are in the ratio of 3:4:5. What is the degree measure of the smallest angle of the triangle? Record your answer and fill in the bubbles on the grid below. Be sure to use the correct place value. . 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9