Midpoint/distance/slope Name _____________________ Worksheet 1. What is the midpoint formula? _________________________ 2. What is the slope formula? _________________________ 3. What is the distance formula? _________________________ Given the following endpoints of a segment find the midpoint, slope, and distance. Show all work. Plug into formula and simplify. Leave distance as an exact answer (radical). 4. ( ) ( )2,8 and 4,6

Midpoint Slope Distance Midpoint ______ Slope ______

Distance ______ 5. ( ) ( )4,10 and 3, 5− −

Midpoint Slope Distance Midpoint ______ Slope ______

Distance ______ 6. ( ) ( )2, 4 and 1, 6− − − −

Midpoint Slope Distance Midpoint ______ Slope ______

Distance ______

7. ( ) ( ), and ,a a b b Midpoint Slope Distance Midpoint ______

Slope ______

Distance ______ 8. ( ) ( ), and ,a b a b c+

Midpoint Slope Distance Midpoint ______ Slope ______

Distance ______ What type of Quadrilateral do the following vertices form? Show all work. 9. (0,-2), ( 5, -2), (5,6), (0, 6) 9.______________________ 10. ( 1,3), ( 6,3), ( 3,1), (-2,-1) 10._____________________ 11. ( 0,0) , ( a, 0), ( 0,a), ( a,a ) 11._____________________ 12. (0,0), ( a, 0), ( b,c), ( a+b, c) 12._____________________