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Show that the points (8,4),(5,7),(-1,1),(2,-2)[taken in order] form a rectangle.

Show that the points (8,4),(5,7),(-1,1),(2,-2)[taken in order] form a rectangle.
 

Grade:9

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
576-2151_1.PNG
Vikas TU
14149 Points
one year ago
Dear student 
Opposite sides of rectangle are congruent
d (P, Q)=
 sqrt{(8 - 2)^{2} }  +  sqrt{(4 + 2}^{2} 
=
 sqrt{36 + 36} 

=
 sqrt{72} 
=
 sqrt{8 \times 9} 

=
3 sqrt{8} 
similarly, d (Q, R), d (R, S)and d (P, S) will be
3 sqrt{8} 
Hence points P, Q, R and S form a rectangle

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