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Name ____________________________________ Geometry Chapter 7 Test Date ________________ Show all your work…. ALWAYS♥ Please circle all your final answers. Solve each proportion. y y6 3 8 1. 2. 8 6 2y 3 y 4 3. The ratio of the width to the height of a window is 1:3. The width of the window is 4 ft. Write and solve a proportion to find the height. Then find the perimeter and area of the window. 4. The angles of a triangle are in the extended ratio of 2:3:7. Find the measure of each angle. 5. In the proportion a = c b d What is the proper math vocabulary word for b and c? ____________ What is the proper math vocabulary word for a and d? ___________ Are the triangles similar? If yes, write a similarity statement and explain how you know they are similar – use a shortcut if you’d like. If not, explain why not. 6. 7. Determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain. Please be careful ♥ 8. 9. b d The polygons are similar. Find the value of each variable and then find the scale 10. factor. 11. Find the geometric mean of each pair of numbers. 12. 8 and 12 13. 20 and 6 14. In ∆DEF, the angle bisector of D intersect at EF at M. EM is 6 inches and MF is 18 inches. If DE is 17 inches, find the measure of DF. Algebra Find the value of x. 16 17. 18. 19. The map at the right shows the walking paths through your bedroom. Path 1 is parallel to path 2. How far is it from the rock to the duck? 20. Triangle QRS has line XY parallel to side RS. The length of QY is 12 in. The length of QX is 8 in. a. Draw a picture to represent the problem. b. If the length of XR is 5 in., what is the length of QS? Word Bank ratio proportion scale factor similar polygons indirect measurement cross products property geometric mean side splitter theorem sponge bob squarepants extended proportion extended ratio scale drawing 24. ______________________ Three or more ratios are equal. 25. ______________________ In an equation, when you multiply the extremes and means to create an equation without a denominator. 26. ______________________ Is a comparison of two things, sometimes written as a fraction. 27. ______________________ A drawing where all lengths are proportional to their corresponding actual lengths. 28. ______________________ A way to find lengths that are hard to measure directly. 29. ______________________ Polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional. 30. ______________________ If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. 31. ______________________ He lives in a pineapple under the sea. 32. ______________________ Two ratios that are equal to each other. 33. ______________________ Compares three or more items. 34. ______________________ In a proportion, the means are the same. 35. ______________________ figures. Is the ratio of corresponding linear measurements of two similar