Question

pls help ill give a hundred points. select the correct answer from the drop down menu A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)

Answer 1

Question ↷

A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)

Answer↷

(5,-2)

Solution ↷

we know that,

the midpoint of the diagonals of a rectangle bisect each other,

so,

• MP of AC = MP of BD

$\huge \rightarrow \frac{x + 1}{2},\frac{y+ 3}{2} = \frac{5 + 1}{2},\frac{3 - 2}{2}$

$\huge \rightarrow \: x = 5 \: \\ \huge \rightarrow \: y = - 2$