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Geometry and Ratio Concepts in Practical Applications

This study guide covers key geometry concepts related to lengths, angles, and ratios, including alternate angles, the relationships between corresponding and supplementary angles, and practical applications of these principles. It includes examples such as the measurements of angles A, B, C, D, E, F, G, and their relationships, as well as real-world scenarios involving distances, dimensions, and scales. This resource is ideal for students preparing for tests in geometry and applications of ratios and angles.

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Geometry and Ratio Concepts in Practical Applications

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  1. Unit 3 Test Study Guide

  2. 1. 2. The length of the other leg is 12 feet. 3. The ratio of the front doors’ width to the back doors’ width is 1 to 1. 4. mA = 70 mE= 70 mB = 110  mF = 110 mC = 110  mG = 70 mD = 70 

  3. 6. 4. Continued. Angle G and Angle A are Alternate Exterior Angles. Angle C and Angle F are Alternate Interior Angles. Angle B and Angle F are Corresponding Angles. Angle C and Angle A are Supplementary Angles. 5. 6.

  4. E 7. The measure of angle x is 54 8. 9. The dimensions of the field model are 5cm by 1 cm. 10. m DBA is 24 F G F G E

  5. 11. • The length of segment FG is 8’’ • The length of segment IL is 24’’ • The area of IJKL is 9 times larger than the area of EFGH. 12. Lakesville is 5.2 miles closer to Smithville than to Stonebrook. 13. He used a 381.2 meter to 1 inch scale. 14. The dimensions after the dilation are 60 inches by 120 inches. 15. The top of the ladder is 12 feet high.

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