Prove: The segments joining the midpoints of the sides of a right triangle form a right triangle.Segment PQ is perpendicular to segment RQ and Triangle PQR is a right triangle.(fill in the blanks of the equation in the second picture with the correct number/letter/sign based off the first picture.)

Question

Answer:

P(a,0)
Q(a,b)
R(0,b)
Slope of PQ =(y(Q)-y(P))/((x(Q)-x(P))=(b-0)/(a-a)=b/0
slope of PQ =b/0 that means undefined
Slope of RQ=(y(Q)-y(R))/((x(Q)-x(R))=(b-b)/(a-0)=0/a=0