Need asap 30 points will be given to brainliest the coordinates of the vertices of △ghj are  g(−1,  3),  h(1,  2), and  j(−3,  −1) drag and drop the choices into each box to correctly complete the sentences been trying to solve this but just don't get it i keep getting it wrong on my homework

we know that

The formula to calculate the slope between two points is equal to

we have

Step 1

Find the slope GH

substitute in the formula

Step 2

Find the slope HJ

substitute in the formula

Step 3

Find the slope JG

substitute in the formula

Step 4

Verify if triangle GHJ is a right triangle

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

so

compare slope GH with slope JG

we have

-----> side GH and side JG are perpendicular

The triangle GHJ is a right triangle

The answer in the attached figure

details

step-by-step explanation: