1. 7.2 Ratios and proportions

2. Two figures that are ~ have equal angles and proportional sides.
Concept #1 Similarity ~
Two figures that are ~ have equal angles and proportional sides.

3. Example #1 ABCD~WXYZ Name the equal angles and the extended side proportion lengths

4. Example #2 ABCD~WXYZ Find all angles and side lengths Find the scale factor from small –big and big –small A 14 B
98◦
100◦ W 42 12 X 17
95◦ D 15 C Z Y

5. Concept #2 Labels of ratios in pictures
The ratio in a picture of any type must include a x variable. The sides of a hexagon are the ratio of 1:2:3:5:6:7.

6. Example #3
The angles of a triangle are the ratio 2:3:4. Draw the figure. Find all the angles.

7. Example #4
The angles of a Quadrilateral are the ratio 3:4:6:7 . Draw the figure. Find all the angles.

8. How to use proportions? Example #4
The sides of a rectangle are the ratio 2:5.
Draw a picture.
If the perimeter is 70 inches, find the length and width.

9. H.W.pg 444
1-4 all
9-20 all
25-29 all
37-38