ALGEBRA I - SECTION 2-8 (Proportions and Similar Figures)

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Presentation transcript:

ALGEBRA I - SECTION 2-8 (Proportions and Similar Figures) @ SECTION 2-8 : PROPORTIONS and SIMILAR FIGURES

1) A sailboat and its model are shown at the right 1) A sailboat and its model are shown at the right. What is the length of the model sailboat? 25 feet 10 ft. ANSWER : 7.2 feet ?? 18 feet

Review the “Essential Understanding” on page 130. SIMILAR FIGURES : have the same shape, though not necessarily the same size. Review the “Essential Understanding” on page 130.

1a) Identify the corresponding sides. b) Identify the corresponding angles. E 12 Find the length of side 2a) AC B D F 14 ANSWER : 21 16 18 2b) DE ANSWER : 10 2/3 A C

4) So, how tall is the Eiffel Tower? ANSWER : 984 feet

5) Look at Problem 3 on page 132. SCALE DRAWING : is a drawing similar to an actual object or place. In a scale drawing, the ratio of any length on the drawing to the actual length is always the same. This ratio is called the scale. 5) Look at Problem 3 on page 132.

6) One inch represents 12 miles on a map 6) One inch represents 12 miles on a map. If the distance between two villages is 4 inches on the map, what is the actual distance? ANSWER : 48 miles 7) A model of a new campus building is 9 inches tall. If one inch represents 8.5 feet, how tall will the new building be? ANSWER : 76.5 feet