Question

plssssssss , repede​

Answer 1

Răspuns:

Ip. m(∡RPS)=m(∡TSP) => ∡RPS ≡ ∡TSP

si m(∡RSP)=m(∡TPS) => ∡RSP ≡ ∡TPS

C. [RP]≡[TS]

Dem.

ΔRPS ÷ ΔTSP

∡RPS ≡ ∡TSP

[PS]≡[PS] (lat. comuna)  ULU

∡RSP ≡ ∡TPS                  ==> ΔRPS ≡ ΔTSP => [RP] ≡[TS]

( ptr. a arata congruenta celorlaltor perechi de ∡ -uri

m(∡PRS)= 180°- ( m(∡RPS)+m(∡RSP) ) = 180°-(x+y)

m(∡PTS)= 180°- ( m(∡TSP)+m(∡TPS) )= 180°-(x+y)

Dar, m(∡RPS)=m(∡TSP)=x

si m(∡RSP)=m(∡TPS)=y

====> m(∡PRS)=m(∡PTS) => ∡PRS≡∡PTS)