Question

In reperul cartezian xOy se considera punctele A(-3,1) si B (7,1)
Determinati coordonatele mijocului segmentului AB

Answer 1

$M_{AB} = [ \frac{x1+x2}{2} ; \frac{y1+y2}{2}] => \frac{-3+7}{2} ; \frac{1+1}{2} => M_{AB} = (2 ; 1)$

Answer 2

$A(-3;1) \\ \\ B(7;1) \\ \\ \\ \mathbb{NOTATIE} \rightarrow \text{Fie M mij [AB]} \\ \\ X_M = \dfrac {X_A+X_B}{2} \\ \\ X_M = \dfrac {-3+7}{2} \\ \\ X_M = \dfrac {4}{2} \\ \\ X_M = 2 \\ \\ \\ \\ Y_M = \dfrac {Y_A+Y_B}{2} \\ \\ Y_M = \dfrac {1+1}{2} \\ \\ Y_M = \dfrac {2}{2} \\ \\ Y_M = 1 \\ \\ \\ \Rightarrow \boxed{\boxed { M(2;1)}}$