Question

show that p(O, -4), Q(6, 2), R (3,5)
and s (-3,-1) are the
vertices of
rectangle
a​

Answer 1

Answer:

As in rectangle all angle are of 90 degree

By pyrlthagoras thoeram we will take four triangles

Answer 2

Step-by-step explanation:

pq=√(x2-x1)²+(y2-y1)² (by using distance formula)

=√36+36=6√2

QR=√9+9=3√2

RS=√36+36=6√2

PS=√9+9=3√2

diagonal PR and QS

PR=√(3-0)²+(5+4)²

=√9+81

=√90

SQ= √(-3-6)²+(-1-2)²

=√81+9

=√90

pq=Rs and qr=ps PR=SQ

Rectangle opposite side equal and diagonal are equal