To determine if these line segments are congruent you can find the distances between the x values and the y values for each set of points.
(-1, 10) and (-5, 2). 4 on x axis and 8 on the y axis.
(9, -7) and (1, -3). 8 on the x axis and 4 on the y-axis.
This means they are congruent. Each triangle would have the same two side lengths making the hypotenuse the same.
