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eee ABC, ADE are similar triangles in the figure. AD = 12 in., DB = EC = 6 in. What are the measures of AE and AC? eee

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eee D and E are the midpoints of AB and AC respectively, in ΔABC. If BC = 8 cm, then what is the measure of DE? eee

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eee The hexagon ABCDEF and the hexagon GHIJKL are similar and their perimeters are in the ratio of 5 : 2. If the perimeter of the hexagon GHIJKL is 10 inches, then what would be the perimeter of the hexagon ABCDEF? eee

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eee ΔABC is similar to ΔDEF. What is m∠E, if m∠B is 39^{o}? eee

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eee Henry was playing with a torchlight and he projected a rectangular object of length 4 inches and width 3 inches on a screen. If the length of the object on the screen is 24 inches, then find the width of the object on the screen. eee

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eee ΔABC is similar to ΔDEF and ABDE= BCEF = ACDF = 52. If the perimeter of the ΔABC is 25 cm, then find the perimeter of the ΔDEF. eee

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eee An object seen through a telescope is in the form of a right triangle. If the actual height and base of the object is 31 and 34 ft respectively, and the height is 4 ft through the telescope, then find the length of the base of the triangle. eee

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eee Paul has two similar rectangular boxes. The length and width of the smaller rectangular box are 8 inches and 6 inches respectively. If the length of the larger rectangular box is 20 inches, then what would be its width? eee

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eee A model of a football cup was placed in a stadium. The width of the base and the height of the original cup are 120 cm and 600 cm. If the height of the model is 9 feet, then what is the width of the base of the model? eee

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eee Sam saw a house and built a model similar to the house. The height and width of the model are in the ratio of 3 : 5. If the width of the model is 10 feet, then what is the height of the model? eee

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eee The quadrilateral ABCD is similar to the quadrilateral EFGH. Find the value of n. eee

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eee The figure shows a pair of similar hexagons. Find the value of m. eee

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eee ABC, ADE are similar triangles in the figure. AD = 8 in., DB = EC = 4 in. What are the measures of AE and AC? eee

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eee D and E are the midpoints of AB and AC respectively, in ΔABC. If BC = 6 ft, then what is the measure of DE? eee

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eee The hexagon ABCDEF and the hexagon GHIJKL are similar and their perimeters are in the ratio of 11 : 5. If the perimeter of the hexagon GHIJKL is 25 inches, then what would be the perimeter of the hexagon ABCDEF? eee

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eee ΔABC is similar to ΔDEF. What is m∠E, if m∠B is 68^{o}? eee

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eee The figure shows a pair of similar polygons. Find AB. eee

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eee Sunny was playing with a torchlight and he projected a rectangular object of length 5 inches and width 4 inches on a screen. If the length of the object on the screen is 20 inches, then find the width of the object on the screen. eee

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eee ΔABC is similar to ΔDEF and ABDE= BCEF = ACDF = 73. If the perimeter of the ΔABC is 35 cm, then find the perimeter of the ΔDEF. eee

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eee An object seen through a telescope is in the form of a right triangle. If the actual height and base of the object is 40 and 47 ft respectively, and the height is 1 ft through the telescope, then find the length of the base of the triangle. eee

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eee Bond started a journey from a point and traveled 10 miles towards south, then traveled 15 miles towards east and returned to the starting point. Pollock also started from the same point but traveled only half the distance that Bond traveled southwards, then traveled y miles towards east and returned to the starting point. Find y. eee

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eee A rectangular poster that is 2 m long and 1.5 m wide is in the same shape as one that is 1 m long and x m wide. Find the value of x. eee

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eee Andy has two similar rectangular boxes. The length and width of the smaller rectangular box are 8 inches and 6 inches respectively. If the length of the larger rectangular box is 20 inches, then what would be its width? eee

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eee A model of a football cup was placed in a stadium. The width of the base and the height of the original cup are 120 cm and 600 cm. If the height of the model is 4 feet, then what is the width of the base of the model? eee

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eee Find the value of x, if the figures are similar. eee

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eee Are the two triangles in the figure similar? eee

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eee Rectangles ABCD and PQRS are similar. Find the length of PR. eee

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eee Are the two triangles in the figure similar, if AB is parallel to CD? eee

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eee Rectangle PQRS is similar to rectangle ABCD. Find the value of m. eee

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eee The area of a square is 32 m^{2}. Find the area of a similar square whose dimensions are quadrupled. eee

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eee Linda plays in a squareshaped ground beside their house, which has a side length of 24 m. She asks her dad to make a similar playing area in their house, whose area is 116 of the area of the ground. What must be the side length of the new ground? eee

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eee The measure of each angle of a regular hexagon is 120°. A similar hexagon is formed by tripling the dimensions of the original hexagon. What will be the measure of each angle of the new hexagon? eee

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eee A regular octagon measures 10 cm on each side. A similar octagon is formed by halving the side length of the original octagon. What will happen to the perimeter of the new octagon? eee

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eee The ratio of the areas of two regular hexagons is 1 : 36. Find the perimeter of the smaller hexagon, if the side length of the bigger hexagon is 12 cm. eee

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eee The radii of two similar spheres are 12 cm and 18 cm. Find the ratio of their volumes. eee

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eee Frank wants to make an advertisement board similar to another advertisement board, which has a length and width of 21 feet and 14 feet. He wants to have a length of 15 feet for the new board. What will be the width of the board that he wants to make? eee

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eee A regular hexagon measures 9 cm on each side. A similar hexagon is formed by halving the side length of the original one. What will happen to perimeter of the new hexagon? eee

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eee The side length of a heptagon is given as 10 in. A similar heptagon is formed by multiplying the side length of the original one by 3. What will happen to perimeter of the new heptagon? eee

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eee A regular pentagon measures 4 cm on each side. A similar pentagon is formed by doubling the side length of the original one. What will happen to the perimeter of the new pentagon? eee

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eee Sid plans to expand the existing square flowerbed by quadrupling its dimensions. What sort of change does this expansion bring in the area of the square flowerbed? eee

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eee Kay put a 6 by 4 cm picture on a photocopier and doubled its length and halved its width. What will happen to the area of the picture? eee

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eee Paul used a rubber band in a geoboard to make a triangle of area 72 cm^{2}. What happens to the area of the triangle, if he doubles the base and keeps the height constant? eee

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