Lydia graphed δxyz at the coordinates x (0, −4), y (2, −3), and z (2, −6). she thinks δxyz is a right triangle. is lydia's assertion correct? yes; the slopes of segment xy and segment xz are the same. yes; the slopes of segment xyand segment xz are opposite reciprocals. no; the slopes of segment xyand segment xz are not the same. no; the slopes of segment xyand segment xz are not opposite reciprocals.

No; the slopes of segment XY and segment XZ are not opposite reciprocal.

Step-by-step explanation:

Given

Lydia graphed at the coordinates X(0,-4), Y(2,-3) and Z (2,-6).

Slope of a line when a line passes through two points is given by

Slope of segment XY which passes through the points X(0,-4)  and Y(2,-3)

Slope, =

Slope of segment  XY, .

Slope of segment  XZ which passes through the points X(0,-4) and Z(2,-6) is given by

Slope,

Slope ,

Slope of segment  XZ=-1

When two lines are perpendicular then

Hence,

Therefore, Lydia's assertion is not correct because  the slopes of  segment XY and segment XZ are not opposite reciprocals.

No, the slopes of segment XY and segment XZ are not opposite reciprocals.