Question

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

each triangle?
A
The slope for triangle P and Qequals
The slope for triangle P and Q equals 1.
The slope for triangle P and Q equals -
D)
The slope for triangle P and Q equals - 1.

Answer 1

Answer:it’s b

Explanation:

Answer 2

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

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=(\Delta y)/(\Delta x)=(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=(3-(-4))/(3-(-4))=(3+4)/(3+4)=(7)/(7)=1`

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

Therefore, the right answer is B.