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

Answer:

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

Step-by-step 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

Answer:

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

Step-by-step explanation:

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

$m=\frac{\Delta y}{\Delta x}$

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

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

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\m=\frac{7-1}{3-0}=\frac{6}{3}=2$

So, the slope is 2.

Therefore, the true statement about the slope is B.