1. Section 7.1 Ratio and Proportion

2. RATIOS A comparison between numbers.

3. Simplifying Ratios Write the following ratios in simplest form. a) 10:18 a) 10:18 b) b) 5:9 2 2

4. Geometric Ratios 1)Find the ratio of AE to BE. 2)Find the ratio of the largest angle of ΔACE to the smallest angle of ΔDBE. 3)Find the ratio of angle A to angle D. 10:5x 90 o :30 o 3:1 2:x 60 o :60 o 1:1 o o o o

5. Geometric Ratios 4)AB : BC 5)AB : perimeter of ABCD 6) 6) 10:6 5:3 10:325:16 1:1

6. Triangles (SAT TYPE!) 7)The measures of three angles of a triangle are in the ratio of 2:2:5. Find the measures of each angle. 8)USE “x” anytime you have a ratio problem!!!!!! 2x, 2x, 5x 2x + 2x + 5x = 180 9x = 180x = 20 2(20) = 40, 40, 5(20) = 100

7. Algebraic Ratios If x = 2 and y = 3. Write each ratio in simplest form. 9) 6x 2 to 12xy 10) 6(2) 2 to 12(2)(3) 24 to 72 1 to 3

8. Simplifying Ratios 1 2

9. PROPORTIONS 1· 4 =2· x 4 = 2x 2 = x

10. Simple Proportions 4· 24 =8· y 96 = 8y 12 = y

11. Simple Proportions 4· (x – 1) =11· x 4x - 4 = 11x -4/7 = x - 4 = 7x

12. PRACTICE Page 243Page 243 Classroom ExercisesClassroom Exercises #1 – 17#1 – 17 SKIP #14, 15, 16SKIP #14, 15, 16