Question

Geometry proves 10. Given: s is the midpoint of rt; np=rt, prove 2rs=np.

a) 2rs=np
b) 2np=rs
c) rs=np
d) rs=2np

Answer 1

To prove 2rs = np given that s is the midpoint of rt and np = rt, we can use the fact that s is the midpoint of rt to show that rs = sn and st = tp.

Step-by-step explanation:

To prove 2rs = np given that s is the midpoint of rt and np = rt, we can use the fact that s is the midpoint of rt to show that rs = sn and st = tp. Since np = rt, we can substitute rs for sn and st for tp in the equation 2rs = np, giving us 2rs = rs + st. But since rs = sn and st = tp, we can further substitute sn and tp to get 2rs = rs + tp. Finally, substituting np for rt gives us 2rs = np, proving option a) 2rs=np.