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Geometry Pre- AP Section 7.1 & 7.2 Name___________________________ 1. The ratio of the side lengths of an isosceles triangle is 4 : 4 : 7, and it’s perimeter is 52.5 cm. What is the length of the base of the triangle? Solve each proportion: x 2 5 2. 12 x 2 5. Given that 5y = 25x, find the ratio of x to y in simplest form. 3. 2m 2 12 3 2m 2 4. 5y 125 16 y 6. Write a ratio expressing the slope of the line through the pair of points (-6, -4) and (21, 5). 7. Madurodam is a park in the Netherlands that contains a complete Dutch city built entirely of miniature models. One of the models of a windmill is 1.2 m tall and 0.8 m wide. The width of the actual windmill is 20 m. What is its height? 8. One square has sides 6 cm long. Another has sides 9 cm long. Find the ratio of the areas of the squares. 9. The ratio of the perimeter of rectangle ABCD to the perimeter of rectangle EFGH is 4 : 7. Find x. 10. A recipe for salad dressing calls for oil and vinegar in a ratio of 5 parts oil to 2 parts vinegar. If you use 1 1 cups of oil, how many cups of vinegar will you need? 4 11. Two complementary angles have measures in the ratio 1 : 5. Find the measure of each angle. 12. The ratio of the measures of two supplementary angles is 3 : 7. Find the measure of each angle. Determine whether the polygons are similar. If so, write the similarity ratio AND similarity statement. 13. RSQ and UZX 14. rectangles ABCD and JKLM Tell whether each statement is sometimes always or never true. 15. Two right triangles are similar. _________________________ 16. Two squares are similar. ___________________________ 17. A parallelogram and a trapezoid are similar. _________________________ 18. If two polygons are congruent, they are also similar. ___________________________ 19. If two polygons are similar, they are also congruent. ___________________________ 20. Any polygon is similar to itself. ___________________________ 21. Any two squares are similar. __________________________ 22. The ratio of a model car’s dimensions to the actual car’s dimensions is 1 . The model has a length of 3 in. 56 What is the length of the actual car? 23. Square ABCD has an area of 4 m2. Square PQRS has an area of 36 m2. What is the similarity ratio of square ABCD to square PQRS? 24. An architect is designing a building that is 200 ft long and 140 ft wide. She builds a model so that the 1 similarity ratio of the model to the building is . What is the length and width of the model in inches? 500