169_186_CC_A_RSPC1_C12_662330.indd



Lesson 2 Problem-Solving Practice

Critical Attributes of Similar Figures

|1. A drawing on a transparency is 6.5 inches wide and |2. Triangles ABC and DEF are similar. The lengths of the sides of ABC are 56, |

|3 inches long. The width of the image of the drawing projected onto a screen is|64, and 72. The length of the largest side of DEF is 252. What is the length |

|13 feet. How long, in feet, is the drawing on the screen? |of the smallest side of DEF? |

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|3. A small rectangle has a width of 4 ft and a length of 10 ft. A larger, |4. Theresa plans to use a photocopy machine to increase the size of a small |

|similar rectangle has a length of 12 ft. What is the perimeter of the larger |picture that she plans on using as part of the display on her bulletin board. |

|rectangle? |The original picture has a width of 3.5 inches and length of 5 inches. After |

| |enlarging her picture, she has a similar picture with a width of 8.75 inches. |

| |Determine the length of the enlarged picture; then determine if the enlarged |

| |picture will fit on a sheet of paper [pic]inches by 11 inches. Explain. |

|5. Polygon ABCD is similar to polygon FGHI. Each side of polygon ABCD is [pic] |6. Pentagon ABCDE is similar to pentagon PQRST. Determine the value of x and |

|times longer than the corresponding side of polygon FGHI. Determine the |y. Round to the nearest tenth, as necessary. |

|perimeter of polygon ABCD. |[pic] |

|[pic] | |

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