2. Section 8.2 Problem Solving in Geometry With Proportions
Chapter 8 Similarity
Section 8.2
Problem Solving in Geometry With Proportions

3. Example: 4 is the geometric mean between 2 and 8

4. The Ratio of the tops = The ratio of the bottom
Example
The Ratio of the tops = The ratio of the bottom
Example
It’s OK to add the bottom to the top on each side

6. True: Reciprocal Property
False
True: Ratio of Bottoms = Ratio of Tops
False

7. x2 = 60
x2 = 96
x2 = 120

8. x2 = 150
x2 = 192
x2 = 480

9. Fill in the numbers and solve for JN14
14(JN) = 48

10. Fill in the numbers and solve for PQ
4(PQ) = 6(16 – PQ)
4(PQ) = 96 – 6(PQ)
10 PQ = 96
16 - PQ

11. Fill in the numbers and solve
Let x represent the price you paid in dollars
9.52x = 450
x = 47.27
You paid $47.27 for the Jacket

12. Fill in the numbers and solve
Let x represent the price you paid in dollars
x = 20.4
You paid $20.40 for the sweater

13. Need to know the distance:
d = rt = 10(12) = 120
Let x represent the wingspan
3x = 120
x = 40
The plane’s wingspan was 40 feet.