Step-by-step explanation:
To find,
- To find the required values of x and y, so that the given parallelograms become equal.
As known,
- Since, diagonals of a parallelogram bisect each other. [Condition]
Solution:
1) By the above condition,
First case-
=> 12 = 3x + 6
=> 3x = 12 - 6
=> 3x = 6
=> x = [tex]\frac{6}{3}[/tex]
=> x = 2
Second case-
=> 2y + 9 = 27
=> 2y = 27 - 9
=> 2y = 18
=> y = [tex]\frac{18}{2}[/tex]
=> y = 9
Hence,
Required value of, x = 2 and y = 9 (Ans)(1)
2) By the above condition,
First case-
=> 3x - 7 = 2x
=> 3x = 2x + 7
=> 3x - 2x = 7
=> x = 7
Second case-
=> 5y - 3 = 2y + 9
=> 5y - 2y = 9 + 3
=> 3y = 12
=> y = [tex]\frac{12}{3}[/tex]
=> y = 4
Hence,
Required value of, x = 7 and y = 4 (Ans)(2)
