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Proportions to identify similar polygons

Do Now: . Solve: 12/10 = x/60The scale of a map is 1cm:10 mi. The actual distance between two town sis 4.3 miles Find the length on the map.A model train is 9 centimeters long. The actual engine is 18 meters long what is the scale of the model?. Vocabulary . Two polygons are similar polygons if c

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Proportions to identify similar polygons

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    1. proportions to identify similar polygons Section 6.3

    2. Do Now: Solve: 12/10 = x/60 The scale of a map is 1cm:10 mi. The actual distance between two town sis 4.3 miles Find the length on the map. A model train is 9 centimeters long. The actual engine is 18 meters long what is the scale of the model?

    3. Vocabulary Two polygons are similar polygons if corresponding angles are congruent and corresponding side lengths are proportional. ~ Is the symbol for similar If two polygons are similar for example the ones in the picture below ABCD is Similar to EFGH it will be written as ABCD ~ EFGH

    4. If two polygons are similar, then the ratio of the lengths of two corresponding sides is called the scale

    8. Theorem 6.1 Perimeters of Similar Polygons: If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

    10. Corresponding Lengths in Similar Polygons: If two polygons are similar, then the ratio of any two corresponding lengths in the polygons is equal to the scale factor of the similar polygons.

    13. In the diagram at the right, quadrilateral BCDE ~ quadrilateral WXYZ. Find the scale factor of quadrilateral BCDE to quadrilateral WXYZ. Find the scale factor of quadrilateral WXYZ to quadrilateral BCDE. Find XY. Find m? C. Find the perimeter of quadrilateral WXYZ.

    14. Use the given information to find the indicated value. GIVEN: ?CDX ~ ?GNZ, the perimeter of ?CDX is 48 feet, CX = 14 feet, and GZ = 58.8 feet. Find the perimeter of ? GNZ. GIVEN: ? ABC ~ ?DEF, ? ABC is isosceles, ? ABC has a perimeter of 18 inches and a leg of length 5 inches, and the base of ?DEF is 34.4 inches long. Find the perimeter of ?DEF.

    15. Find all possible values of x in the similar triangles. ?FGH ~ ?JKL

    16. ?LMK ~ ?KMN  

    17. Shuffleboard The game of outdoor shuffleboard is played on a hard, smooth surface such as concrete. From a distance, players slide large, 6-inch pucks toward a triangular scoring region, as shown in the figure at the right. At the end of each round, any puck lying entirely within the lines of a scoring region scores the number of points indicated (7, 8, or 10).

    18. The scoring region contains two similar triangles. The scale factor of the large triangle (containing all five regions) to the small triangle (the 10-point region) is 3 : 1. How many times greater is the total area of the 7- and 8-point regions than the area of the 10-point region?

    19. Assignment: Pg # 376 -379 # 1- 37 every 3rd problem starting with 1, then 4, 7, 10 etc

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