Question

4. The two opposite vertices of a square are (-1,2) and (3, 2). Find the coordinates of the other two vertices​

Answer 1

Answer:

just join the opposite sides of the square to which the coordinates are given, it will form a right angled triangle and with the help of that, it can easily be done.

Step-by-step explanation:

Have a look at the solution for better understanding.

Answer 2

Given : The two opposite vertices of a square are (-1,2) and (3, 2).

To  Find :  the coordinates of the other two vertices​  

Solution:

The two opposite vertices of a square are (-1,2) and (3, 2).

=> diagonal = √(2 - 2)²  + (3 -(-1))²   = 4

Slope of diagonal  =  0 hence parallel to x axis

mid point of diagonal = 1 , 2

Diagonal of square are perpendicular to each other

Hence other diagonal is parallel to y axis

Let say two corners are ( a , b ) and (a , c)

a =  mid point = 1

Hence (1 , b) and (1 , c)

(b + c)/2  = 2

=> b + c = 4

also  √(b - c)² = 4

=> | b - c |  = 4

b + c = 4

b  - c = 4

=> b = 4

  c =  0

Hence other two vertices are

( 1 , 4) and (1 ,0)

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