Similar Figures and Scale Factor
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1 Similar Figures and Scale Factor 1. Janelle drew in isosceles trapezoid FGHJ to create similar trapezoids FKLJ and KGHL. Based on the given information, what are the values of y and w in centimeters? A. y = 11 cm and w = 15 cm B. y = 15 cm and w = 15 cm C. y = 11 cm and w = 27 cm D. y = 15 cm and w = 27 cm 2. Pentagon ABCDE is similar to pentagon RSTUV. The perimeter of pentagon ABCDE is 36.8 centimeters.
2 What is the length of? F. 18 cm G cm H. 15 cm J cm 3. Polygon QRST below was dilated by a scale factor of to create polygon Q R S T. What is the length in centimeters of? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 4. The bases of the two similar triangular prisms shown below are equilateral triangles.
3 What is the value of x, an edge length of the larger prism in centimeters? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 5. One weekend Greg and Darius shoveled snow to earn spending money. Together they earned $12.50 an hour for 9 hours of work. Each received half the total earnings. If Greg then spent $15 on a new CD, what was the total amount he had left, in dollars and cents, from the money he earned shoveling snow that weekend? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 6. In the scale used on a blueprint, inch represents 2 feet. On the blueprint what is the length of a room with an actual length of 20 feet? F. 10 in. G. 5 in.
4 H. J. 7. Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin s model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin s model? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 8. The two parallelograms below are similar. What is the length in inches of PQ? F. 40 in. G. 34 in. H. 38 in. J. 14 in. 9. Ana drew a map of the Panama Canal. In the scale Ana used for the map, 4 centimeters represents 20 kilometers. The actual length of the Panama Canal is 82 kilometers. What is the length in centimeters of the Panama Canal on Ana s map?
5 A. 410 cm B cm C cm D. 162 cm 10. The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 11. Parallelogram RSTU and parallelogram LMNO are similar. Segment TU is 46 units and segment US is 28 units. If segment OM is 14 units, then how many units will segment NO be? A. 56 B. 23 C. 92 D Which of the following statements is true? F. All trapezoids are similar. G. All isosceles triangles are similar. H. All equilateral triangles are similar. J. All rectangles are similar.
6 13. Which statement is true? A. All isosceles triangles are similar. B. All equilateral triangles are similar. C. All rectangles are similar. 14. Kyle's teacher drew two polygons on the board. He said that the polygons are similar and asked Kyle what that meant. Kyle answered that they were the same size and shape. Is Kyle's answer reasonable? F. Yes, because two figures are similar if they are the same size and shape. G. Yes, because if two figures are regular polygons they must be similar. H. No, because two figures are similar if they are the same shape but not the same size. J. No, because two figures must be congruent to be similar. 15. The triangles shown below are similar. Which line segment corresponds to? A. B. C.
7 D. 16. Triangle QRS and triangle QTV are similar. Which equation must be true? F. G. H. J. 17. Jessica has a rectangular picture. The picture is similar to a rectangle that measures 4 inches by 6 inches. What could be the dimensions of Jessica s picture? A. 8 in. by 10 in. B. 2 in. by 3 in. C. 5 in. by 7 in. D. 12 in. by 14 in.
8 18. Figure JKLM is similar to figure PQRS. Which proportion must be true for these figures? F. G. H. J. 19. Mr. Ortiz used similar triangles to make a design. Which statement about the triangles in the design must be true? A. They are the same size and shape. B. They are the same size but different shapes. C. They have corresponding angles that are congruent. D. They have corresponding sides that are congruent.
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