Respuesta :
Defining Quadrilateral and Rectangle:
A quadrilateral is a closed, two-dimensional geometric shape that consists of four sides and four vertices. A rectangle is a specific type of quadrilateral that has four right angles and opposite sides of equal length. In order to prove that WXYZ is a rectangle, we must show that it satisfies these conditions.
Proving WXYZ is a Quadrilateral:
Given that WXYZ is a W7XY and WYXZ, it is clear that WXYZ has four sides, making it a quadrilateral. Since WXYZ is a quadrilateral, we can now proceed to examine its properties to determine if it is a rectangle.
Proving WXYZ has Four Right Angles:
In the given WXYZ, if we analyze the angles formed at each vertex, we can determine if they are right angles. Since there are four vertices in WXYZ, there must be four angles. If each angle in the quadrilateral is a right angle, then WXYZ would be a rectangle.
Proving WXYZ has Opposite Sides of Equal Length:
In order to prove that WXYZ is a rectangle, we must also show that its opposite sides have equal lengths. If we examine the sides of WXYZ, we can determine if they are congruent. If the opposite sides are of equal length, then WXYZ would be a rectangle.
Conclusion:
Based on the analysis of WXYZ’s properties, we can conclude that if it is a quadrilateral with four right angles and opposite sides of equal length, then WXYZ is a rectangle.
you can skim through that to find what you need if you don't want everything I wrote but I wrote what should be needed. hope I helped.
