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Chapter 7 Pre-Test Grab your clicker Grab your calculator Clear your desk To Start: 20 Points With only 2 weeks of instruction left in this trimester, how do you feel you are currently doing and what is your plan for success in this class for the next couple weeks? Please respond with at least ½ page. After you complete the writing, please write down vocab from section 7.1. Chapter Seven: Similarity Section 7-1 Ratios and Proportions Vocabulary A ratio is a comparison of two quantities usually written as a fraction, a:b, or a to b. A proportion is a statement that two ratios are equal. (fraction = fraction) An extended proportion is when 3 or more ratios are equal. Properties of Proportions a c is equivalent to : b d (1) ad bc (cross multiplica tion ) b d (2) a c a b (3) c d ab cd (4) b d Proportions Extremes and Means: The first and last numbers in a proportion of the extremes. The middle two numbers are called the Means. Extremes Ex) 2:3=4:6 Easy? Means Proportions What is the solution to the following Proportion: 6 5 x 4 You Try!! What is the solution to the following Proportion: y4 y 9 3 3( y 4) 9 y 6(4) 5 x 24 5x 3 y 12 9 y 24 x 5 6 y 12 y2 Writing Equivalent Proportions In the diagram, . What ratio completes the equivalent proportion of x y x 6 y 7 x y 6 7 x 6 7 y Proportions Two angle measures are Two angle measures are in the ratio 5:9. Write expressions for the two angle measures in terms of x. in the ratio 11:7. Write expressions for the two angle measures in terms of x. 5x & 9x 11x & 7x Writing Equivalent Proportions In the diagram, a 3 b 4 . 4 Complete the following 3 statements: b 4 a 3 4a 3b a b b 3 4 4 a b 77 b 44 b a Applications The perimeter of a rectangle is 280 cm. The ratio of the width to the length is 3:4. What is the length of the rectangle? Perimeter of a rectangle is W + W + L + L! 3x+3x+4x+4x=280 14x=280 x=20 L=4x=80 Applications The lengths of the sides of a triangle are in the extended ratio 3:6:8. The triangle’s perimeter is 510 cm. What are the lengths of the sides? Perimeter of a triangle is Leg1 + Leg2 + Leg3! 3x+6x+8x=510 17x=510 x=30 Leg1=3x=90 Leg2=6x=180 Leg3=8x=240 Homework Page 436 1-4, 9-12, 17-24, 27-32 7-1 Worksheet Wrap Up!!! (20 Points) 1. Define Ratio 2. Define Proportion 3. Define Extended Proportion 4. What are the Means 5. What are the Extremes