Question

Show that points (1, 7), (4, 2), (-1, -1) and (-4, 4) are vertices

of a square ​

Answer 1

Step-by-step explanation:

ANSWER

Let the vertices are

M(1,7),N(4,2)

R(−1,−1),Q(−4,4)

MN=

(1−4)

2

+(7−2)

2 = 9+25= 34

NR=

(4+1)

2

+(2+1)

2=25+9 = 34

RQ= (−1+4) 2 +(−1−4) 2

= 34

MQ=

(1+4)

2

+(7−4)

2= 34

all sides are equal, Hence MNRQ is a square

P(2,P) is midpoint of

A(6,−5),B(−2,11)

P=

2

−5+11

p=3