Question

TWO QUESTIONS! PLEASE HELP!

What is the slope of the hypotenuses of the triangles in simplest form? (first pic)  The answer is 1/3...right?

Match each pair of points with the coordinate that will make a right triangle with its hypotenuse along the graph shown.(second pic)

Column A                                                                                                           
1. (1, 2) and (2, 4)                                                                                                  

2. (2, 4) and (3, 6)              

3. (2, 4) and (4, 8)              

4. (1, 2) and (3, 6)                

                   

Column B

A. (3, 2)

B. (3, 4)

C. (5, 6)

D. (2, 2)

E. (4, 4)

Answer 1

1. The slope of hypotenuse = $\frac{8-4}{20-10} = \frac{4}{10} = \frac{2}{5}$

or using the smaller triangle, slope = $\frac{4-2}{10-5} = \frac{2}{5}$

2. 
     Column A     Column B 
(1, 2) and (2, 4) - (2, 2)
(2, 4) and (3, 6)  - (3, 4)
(2, 4) and (4, 8) - ( 4, 4)
(1, 2) and (3, 6) - (2, 3) or (1, 6)