Question

Drag the tiles to the correct boxes to complete the pairs.


PQRS is a parallelogram. and are diagonals. Match each element to its value.

Answer 1

Answer:

16--> Length of PR

4 ---> Value of A

3 ---> Value of B

6 ---> Length of QS

Step-by-step explanation:

Since PQRS is a parallelogram the diagonals are symmetrically split by a shared midpoint: T

Thus the values of A & B can be found by setting the sides to equal each other.

    2B - 3 = B    add 3 and subtract B from both sides

     B = 3

     A + 4 = 2A subtract A from both sides

     4 = A

Then to find the length of the diagonals: Plug the variables in and add both sides.

     2(3) - 3   +   (3) =6

     (4) + 4     +   2(4)  =16