Test #8 Review Good Luck to: ______________________________ Period _____ Round all answers to the nearest hundredth. Solve for “x” 1. x 3 5 12 6 1. _____________________ 2. 2x 8 4 x 2.______________________ 3. x 3 2x 3 5 3. _____________________ Determine whether the two triangles are similar. If yes, state the reason that justifies your answer (AA,SAS,SSS). 4. 4. similar? ________ 10 5 2 4 reason ________ 5 2 3 9 5. 55° 5. similar? ________ 55° 12 reason ________ 4 . 8 6. 6. similar? ________ 50 98 reason ________ 98 50 Find the values of “x” and “y” so that the following triangles are similar. Set up ratios!! 7. ABC DEF 7.Equation for “x” ____________________ A D x = ________ 15 10 y 26 B x Equation for “y” ____________________ C E 24 F y = ________ 8. MNO ANB 8.Equation for “x” ____________________ M x = _______ 6 A Equation for “y” ____________________ x 48 20 N y = _______ y B 4 O 9. MN || EF (THIS MEANS MN IS PARALLEL TO EF) . Find “x” and “y”. 9.x = ________ y = ________ D 24 18 28 M N 46 x E F y 10 10.x = ________ 6 4x 2 5 11 11.x= ________ 11 16.5 6 x 12. Given ABC RST , find the perimeter of RST if the scale factor of ABC to RST is 3 4 . 12. __________________ 13. Find x. 13. x=____________ . Find the indicated, missing values for each of the following. Show work to receive credit. 14. If a 3 meter flagpole casts a 12 meter shadow at the same time as a nearby building casts a 20 meter shadow. How tall is the building? 14. ________ 15. The scale factor of two similar polygons is 2:5. The perimeter of the larger polygon is 200 centimeters. What is the perimeter of the smaller polygon? 15. ________ 16. A photographer enlarged a 5 in. X 7 in. photograph by multiplying each dimension by a factor of photograph. 7 . Use proportions to find the width “x” and length “y” of the enlarged 6 16. ______ 17. A copy machine can enlarge or reduce letters proportionately. Which would not be an enlargement or reduction of the letter below? 17.__________ 1.5 cm 6.5 cm A. B. 1 cm 2.5 cm 4.33 cm 10.833 cm 4.5 cm C. 4.8 cm D. 19.5 cm 13 cm Use the following points to answer questions 18 and 19. A(3, -5) and B(2, 7) 18. Find the distance AB rounded to the nearest tenth. 18. AB= ___________ 19. Find the Midpoint of AB. 19. ______________ 20. Find the slope of AB. 20. _______________
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