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Quadrilateral PQRS is similar to quadrilateral JKLM. What is the value for x, the length of side QR?

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Quadrilateral PQRS is similar to quadrilateral JKLM. What is the value for x, the length of side QR?
2
4
3
12




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    1. Quizzma Team

      To determine the value of ( x ), the length of side ( QR ) in quadrilateral ( PQRS ), we need to use the property of similar quadrilaterals. In similar figures, corresponding sides are proportional.

      Let’s assume you have the lengths of the sides of quadrilateral ( JKLM ) and ( PQRS ). You would set up a proportion based on these corresponding sides. For example, if side ( QR ) corresponds to side ( JK ) and if you know the length of ( JK ), you can create the equation:

      [

      frac{QR}{JK} = frac{PS}{LM}

      ]

      From this proportion, you can solve for ( x ) once you have the length of ( JK ) or other corresponding sides.

      Since I don’t have the specific lengths given, you’ll need to plug in the values you have. However, if ( QR ) corresponds directly as one of the provided answer choices:

      1. If ( QR = 2 ), check if it maintains the ratio.
      2. If ( QR = 4 ), check the same.
      3. Do the same for ( 3 ) and ( 12 ).

      Once you find the value of ( x ) that maintains the ratio consistent with the other side of the quadrilateral, you’ll have your answer. Check each to find which yields true for the similarity condition.

      If you have specific lengths for corresponding sides, please share them for a

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