Geometry Homework 9-5

Either print the sheet, or write your work on looseleaf.

Name: _____________________ Date: ____________ Period: ___ 

INDUCTIVE REASONING is the process of observing data, recognizing patterns, making a conjecture (guess) based on the pattern, and then using your conjecture to solve the problem. 
Use inductive reasoning to find the next term of each sequence. 

1. 20, 18, 16, 14, ____
2. 1, 3, 7, 15, 31, 63, ____ 
3. 1, 2, 4, 8, 16, 32, ____ 
4. 1, 3, 9, 27, 81, 243, ____ 
5. 1, 3, 6, 10, 15, 21, ____ 
6. 1, 5, 14, 30, 55, 91, ____ 
7. 1, 4, 9, 16, 25, 36, ____ 
8. 1, 10, 100, 1000, ____ 

Find the coordinates of the midpoint of the segment with the given endpoints.
9. S (4, -1) and T (6,0)
10. L (4,2) and P (0,2)

Use the given endpoint R and midpoint M of line segment RS to find the coordinates of the other endpoint S.
11. R (6,0), M (0,2)
12. R (3,4), M (3,-2)

13. Find the perimeter and area of a triangle given the points J (-3, 3), K (2, 1) and L (-3, -3)