Similar Figures Warm Up Problem of the Day

Similar Figures Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

Similar Figures Warm Up Solve each proportion. 1. 3 = b 9 30 3. p = 4 9 12 b = 10 y = 56 2. 5 35 y=8 p=3 4. 28 = 56 m = 52 26 m

Similar Figures Objective - learn to determine whether figures are similar and to find missing dimensions.

Similar Figures Vocabulary Similar - figures having the same shape, but different size. Corresponding sides of two figures are in the same relative position, and corresponding angles are in the same relative position. Two figures are similar if the lengths of corresponding sides are proportional and the corresponding angles have equal measures.

Similar Figures

Similar Figures Example #1: Identifying Similar Figures Which rectangles are similar? Hint: Cross Multiply (think proportions)

Similar Figures Which rectangles are similar? 8 ft A 4 ft 6 ft B 5 ft 3 ft Hint: Cross Multiply (think proportions) C 2 ft

Similar Figures Example 2: Finding Missing Measures A picture 10 in. tall and 14 in. wide is to be scaled to 1. 5 in. tall to be displayed on a Web page. How wide should the picture be on the Web page for the two pictures to be similar? Set up a proportion. Let w be the width of the picture on the Web page. width of a picture width on Web page 14 10 = w 1. 5 height of picture height on Web page 14 ∙ 1. 5 = w ∙ 10 Find the cross products. 21 = 10 w 21 10 w Divide both sides by 10. = 10 10 2. 1 = w The picture on the Web page should be 2. 1 in. wide.

Similar Figures Example 3: Using Equivalent Ratios to Find Missing Dimensions A T-shirt design includes an isosceles triangle with side lengths 4. 5 in, 4. 5 in. , and 6 in. An advertisement shows an enlarged version of the triangle with two sides that are each 3 ft. long. What is the length of the third side of the triangle in the advertisement? 4. 5 in. = 6 in. 3 ft x ft Set up a proportion. See if you can get the answer of 4 feet?

Similar Figures Lesson Quizzes Standard Lesson Quiz for Student Response Systems

Similar Figures Lesson Quiz Use the properties of similar figures to answer each question. 1. A rectangular house is 32 ft wide and 68 ft long. On a blueprint, the width is 8 in. Find the length on 17 in. the blueprint. 2. Karen enlarged a 3 in. wide by 5 in. tall photo into a poster. If the poster is 2. 25 ft wide, how tall is it? 3. 75 ft 3. Which rectangles are similar? A and B are similar.

Similar Figures Lesson Quiz for Student Response Systems 1. A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. A. 7 in. B. 9 in. C. 12 in. D. 14 in.

Similar Figures Lesson Quiz for Student Response Systems 2. Rob enlarged a 4 in. wide by 7 in. tall picture into a banner. If the banner is 3. 5 ft wide, how tall is it? A. 6. 05 ft B. 6. 125 ft C. 7 ft D. 7. 125 ft

Similar Figures Lesson Quiz for Student Response Systems 3. Which triangles are similar? A. X and Y Y B. X and Z C. Y and Z D. none X Z