Question

5. Prove that A(1, -1), B ( -2,2), C(4,8) and D (7, 5) are the vertices of rectangle​

Answer 1

Answer:

Step-by-step explanation:

d=  

(x  

2

​

−x  

1

​

)  

2

+(y  

2

​

−y  

1

​

)  

2

 

​

 

Here AB=  

(8−2)  

2

+(4+2)  

2

 

​

 

=  

36+36

​

 

=6  

2

​

,

BC=  

(5−8)  

2

+(7−4)  

2

 

​

=  

9+9

​

 

=3  

2

​

,

CD=  

(−1−5)  

2

+(1−7)  

2

 

​

=  

36+36

​

 

=6  

2

​

 and

AD=  

(2+1)  

2

+(−2−1)  

2

 

​

=  

9+9

​

 

=3  

2

​

 

AC=  

(5−2)  

2

+(7+2)  

2

 

​

=  

90

​

 and

BD=  

(−1−8)  

2

+(1−4)  

2

 

​

=  

90

​

 

HereAB=CD,BC=AD,AC=BD