Question

Triangle P is similar to triangle Q. Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each triangle?

Answer 1

B ) The slope of the triangle P and Q is equal to 2

Explanation:

slope of a line, in this case is hypotenuse, is given by rise by run.

For triangle P

Here rise is 6 units and run is 3 units

slope= rise/run = 6/3 = 2

Also for triangle Q

rise is 3 and run is 1.5

hence slope= 3/1.5=2

hence 2 is the answer

Answer 2

B) the slope for triangle P and Q equal to 2.

Explanation:

The slope is the defined as the ratio between the change of y-variable and x-variable. Its formula is

`m=(\Delta y)/(\Delta x)`

Now, we have to use to points and this formula to find the slope.

We are gonna use points
`(0,1),(3,7)`

`m=(y_(2)-y_(1) )/(x_(2)-x_(1) ) \\m=(7-1)/(3-0)=(6)/(3)=2`

So, the slope is 2.

Therefore, the true statement about the slope is B.