Answer:
The statement is slope of WX and YW are opposite reciprocals
Step-by-step explanation:
Given the graph in which triangle is shown
we have to choose the statement that verifies that triangle WXY is a right triangle.
Coordinates of W, X and Y are
W=(-2,3)
X=(2,1.4)
Y=(-4,-2)
To verify the triangle WXY a right triangle, we have to find the slope of these lines
[tex]\text{Slope of line joining the points }(x_1,y_1), (x_2, y_2)\text{ is }[/tex]
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\text{Slope of WX=}\frac{1.4-3}{2-(-2)}=\frac{-2}{5}[/tex]
[tex]\text{Slope of XY=}\frac{-2-1.4}{-4-2}=\frac{17}{30}[/tex]
[tex]\text{Slope of YW=}\frac{-2-3}{-4-(-2)}=\frac{5}{2}[/tex]
We see slope of WX and YW are opposite reciprocals that means these two lines are perpendicular which verifies that triangle WXY is a right triangle.
Hence, option 1 is correct
