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


PQRS is a parallelogram. and are diagonals. Match each element to its value.
value of
length of
value of
length of
16
arrowRight
4
arrowRight
3
arrowRight
6
arrowRight

Respuesta :

cdj8498

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      

jayilych4real

The correct matching of the elements to their values are:

  • 16 ==>> Length of PR
  • 4 ==>> Value of A
  • 3 ==>> Value of B
  • 6 ==>> Length of QS

What is a Parallelogram?

This refers to the plane that has four sides and their opposite sides are parallel.

Hence, because PQRS is a parallelogram, the diagonals are symmetrically split by a shared midpoint:

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

2B - 3 = B

B = 3

A + 4 = 2A

4 = A

Length of the diagonals:

2(3) - 3   +   (3) =6

(4) + 4     +   2(4)  =16      

Read more about parallelograms here:

https://brainly.com/question/3050890

#SPJ2

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