SOLUTION: The ratio of the lengths of a quadrilateral’s consecutive sides is 2 : 5 : 2 : 5. The ratio of the lengths of the quadrilateral’s diagonals is 1 : 1. What type of quadrilateral is

Algebra ->  Polygons -> SOLUTION: The ratio of the lengths of a quadrilateral’s consecutive sides is 2 : 5 : 2 : 5. The ratio of the lengths of the quadrilateral’s diagonals is 1 : 1. What type of quadrilateral is      Log On


   



Question 1068361: The ratio of the lengths of a quadrilateral’s consecutive sides is 2 : 5 : 2 : 5. The ratio of the lengths of the quadrilateral’s diagonals is 1 : 1. What type of quadrilateral is this? Explain.

This is the problem i was given and i don't know what to do

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
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The opposite sides of your quadrilateral have equal lengths.

You can see it looking into the proportion.

    A quadrilateral which has the opposite sides congruent is WHAT ? -

   - Correct, it is PARALLELOGRAM.


The diagonals of your parallelogram have equal lengths.

You can see it looking into the proportion for the diagonals.

    A parallelogram which has congruent diagonals is WHAT ?

    - Correct, it is rectangluar.


Hence, your quadrilateral is WHAT ?

    - Correct, it is __________________ .