Question

Triangle ADE is similar to triangle ABC. Which statement is TRUE concerning the slope of the line formed by the hypotenuse of

Answer 1

Answer:it’s b

Step-by-step explanation:

Answer 2

Answer:

B. The slope for triangle P and Q equals 1.

Step-by-step explanation:

From the graph, we can observe that both hypothenuses belong to the same line which passes through the origin $(0,0)$.

To find the slope, which is the same for both hypothenuses, we apply the formula

$m=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Where the first point is D(-4,-4) and the second point is B(3,3), replacing these points in the formula, we have

$m=\frac{3-(-4)}{3-(-4)}=\frac{3+4}{3+4}=\frac{7}{7}=1$

This means that the slope for both triangles is equal to 1.

Therefore, the right answer is B.