# Geometry L2 Test Review Packet Similarity Test Date Friday March 18 Review Date Thursday March 17. Things it would be a good idea to know

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1 Geometry L2 Test Review Packet Similarity Test Date Friday March 18 Review Date Thursday March 17 Things it would be a good idea to know 1. How to create a proportion from a. a word problem b. a pair of similar triangles c. angle bisector proportion d. parallel lines proportion 2. How to solve proportions 3. How to multiply/simplify ratios and fractions 4. Use dilations Notes to study- F3 thru K3 Homework to practice- Assn thru Assn The links to the quick checks are still active Test Outline Part 1: 5 Multiple Choice Questions (10pts) Part 2: 5 True/False Questions (10pts) Part 3: 2 Word Problems (20pts) Part 4: 2 Proportions (10pts) Part 5: 5 Create a proportion from a diagram and solve (50pts)

2 Chapter 7 Test, Form 1 SCORE Write the letter for the correct answer in the blank at the right of each question. 1. There are 15 plums and 9 apples in a fruit bowl. What is the ratio of apples to plums? 2. The scale drawing of a porch is 8 inches wide by 12 inches long. If the actual porch is 12 feet wide, what is the length of the porch? 3. Solve =. 4. Two of the bulbs in a sample of 30 were defective. If the sample was representative, find the number of bulbs expected to be defective in a case of Find the triangle similar to ABC at the right. A C B D Find the value of x if ABC JKL Quadrilateral ABCD quadrilateral PQRS. If AB = 10, BC = 6, PS = 12, and QR = 4, find the scale factor of ABCD to PQRS Quadrilateral ABCD quadrilateral EFGH. Find the value of x Which theorem or postulate can be used to prove that these two triangles are similar? Find MN. 10. Chapter 7 55 Glencoe Geometry

3 Chapter 7 Test, Form 1 (continued) 11. A 5-foot tall student cast a 4-foot shadow. If the tree next to her cast a 44-foot shadow, what is the height of the tree? In ABC,. If AD = 12, BD = 3, and CE = 10, find BE What is the scale factor of the dilation of A to B? FGH PQR, FG = 6, PQ = 10, and the perimeter of PQR is 35. What is the perimeter of FGH? Find the value of x LMN XYZ with altitudes and. Find KL Find the value of x. 18. Find the value of x Nathan is building a model of his father s sailboat with a scale factor of. The actual sail is in the shape of a right triangle with a base of 8 meters and a hypotenuse of 13 meters. What will be the approximate perimeter of the sail on the model boat? 19. Bonus In ABC, AB = 10, BC = 16,, and DE = 6. Find CD. B: Chapter 7 56 Glencoe Geometry

4 Chapter 7 Test, Form 2A SCORE Write the letter for the correct answer in the blank at the right of each question. 1. Of the 240 students eating lunch, 96 purchased their lunch and the rest brought a bag lunch. What is the ratio of students purchasing lunch to students bringing a bag lunch? 2. In a rectangle, the ratio of the width to the length is 4:5. If the rectangle is 40 centimeters long, find its width. 3. A postage stamp 25 millimeters wide and 40 millimeter tall is enlarged to make a poster. The poster is 4 feet wide. Find the height of the poster. 4. Find the polygon that is similar to ABCD. F H G J If PQR STU, find the value of x If ABCD EFGH, find the value of x ABC LMN, AB = 18, BC = 12, LN = 9, and LM = 6. What is the scale factor of ABC to LMN? Name the theorem or postulate that can be used to prove that these triangles are similar. For Questions 9 and 10, refer to the figure at the right. 9. Identify the true statement. A PQR RST C PQR TSR B PQR STR D PQR TRS 10. Find the value of x Chapter 7 57 Glencoe Geometry

5 Chapter 7 Test, Form 2A (continued) 11. A 24-foot flagpole cast a 20-foot shadow. At the same time, the building next to it cast an 85-foot shadow. Find the height of the building Find QT Find the value of x so that. 14. Find the value of y If KLM XYZ, find the perimeter of XYZ ABC JKL with altitudes and. Find BX Find the value of x What is the scale factor of the dilation of A to B? 17. Bonus Find the value of x. 18. B: Chapter 7 58 Glencoe Geometry

6 Chapter 7 Test, Form 2C 1. Of the 300 television sets sold at an electronics store last month, 90 were flatscreen TVs. What is the ratio of flat-screen TVs to other TVs sold last month? SCORE Determine whether ABC DEF. Justify your answer When a 5-foot vertical pole casts a 3-foot 4-inch shadow, an oak tree casts a 20-foot shadow. Find the height of the tree. 4. Quadrilateral ABCD quadrilateral WXYZ, AB = 15, BC = 27, BC = 27, and the scale factor of WXYZ to ABCD is. Find XY The blueprint for a swimming pool is 8 inches by inches. The actual pool is 136 feet long. Find the width of the pool Find CD If quadrilateral ABCD quadrilateral PQRS, find BC Is the dilation a similarity transformation? Verify your answer ABC XYZ, AB = 12, AC = 16, BC = 20, and XZ = 24. Find the perimeter of XYZ. For Questions 10 and 11, use the figure. 10. Identify the similar triangles. 11. Find the value of x Chapter 7 61 Glencoe Geometry

7 Chapter 7 Test, Form 2C (continued) 12. If ABC PQR and and are medians, find BM The ratio of the measures of the three sides of a triangle is 3:4:6. If the perimeter is 91, find the length of the longest side. 14. If RST UVW, find m W In ABC, bisects BAC. Find the value of x Find the value of y so that ABC LMN, and and are altitudes. Find AD. 18. Find the value of x. 18. Bonus Find EG. B: Chapter 7 62 Glencoe Geometry

8 Chapter 7 Test, Form 3 1. In an orchard of apple and peach trees, of the trees are peaches. What is the ratio of apple trees to peach trees? SCORE Determine whether trapezoid ABCD trapezoid PQRS. Justify your answer In ABC, m A = 51, AB = 14, and AC = 20. In DEF, m D = 51, DE = 16.8, and DF = 24. Determine whether ABC DEF. Justify your answer. 4. A painting that is 48 inches by 12 inches is reduced to fit on a canvas that is 30 centimeters by 10 centimeters. Find the maximum dimensions of the reduced painting Find the value of x If ABC XYZ, find y The ratio of the measures of the sides of a triangle is 2:5:6. If the length of the longest side is 48 inches, find the perimeter Find m I ABC DEF, AB = 8, BC = 13, AC = 15, and DF = 20. Find the perimeter of DEF. 10. ABC JKL, AB = 12, BC = 18.4, KL = 6.9, and JL = 5.6. Find the scale factor of ABC to JKL Find the value of y. 11. Chapter 7 65 Glencoe Geometry

9 Chapter 7 Test, Form 3 (continued) 12. Find SR. 12. For Questions 13 and 14, FGH JKL. 13. Find the value of x Find the ratio of the perimeter of FGH to the perimeter of JKL Find AD so that A triangle with coordinates A(0, 0), B(4, 0), and C(0, 4) is enlarged by a factor of 2. What are the coordinates of the image? When a 15-foot tall climbing wall cast a 20-foot shadow, a building cast a 32-foot shadow. Find the height of the building If ABC EFG and and are medians, find BD. 18. Bonus The ratio of the lengths of the sides of ABC is 5:2 :4. The scale factor of ABC to DEC is 5:2, and the scale factor of DEC to FEG is 1:4. is the shortest side and is the longest side of ABC. Find FG. B: Chapter 7 66 Glencoe Geometry

10 Similar Triangles Word Problems Adams *Note If a problem gives you decimals, its OK report your answer as a decimal. Apple Tree Mountain Climber Photo Time

11 Height of a Tree The Canyon Width of the River Width of the Pond Another Tree Problem Perimeter Ratio

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