We appreciate your visit to Practice proving that a quadrilateral is a parallelogram In quadrilateral tex WXYZ tex tex WC 2x 5 tex and tex CY 3x 2 tex What. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To prove that quadrilateral [tex]\( WXYZ \)[/tex] is a parallelogram, one of the conditions we can use is that opposite sides must be equal.
In this quadrilateral, we are given that:
- [tex]\( WC = 2x + 5 \)[/tex]
- [tex]\( CY = 3x + 2 \)[/tex]
Since [tex]\( WC \)[/tex] and [tex]\( CY \)[/tex] are opposite sides of the quadrilateral, for [tex]\( WXYZ \)[/tex] to be a parallelogram, these sides must be equal. Therefore, we set their expressions equal to each other:
[tex]\[ 2x + 5 = 3x + 2 \][/tex]
Now, let's solve this equation step-by-step to find the value of [tex]\( x \)[/tex]:
1. Subtract [tex]\( 2x \)[/tex] from both sides of the equation:
[tex]\[ 5 = x + 2 \][/tex]
2. Subtract 2 from both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ x = 3 \][/tex]
Thus, the value of [tex]\( x \)[/tex] that makes quadrilateral [tex]\( WXYZ \)[/tex] a parallelogram is [tex]\( x = 3 \)[/tex].
In this quadrilateral, we are given that:
- [tex]\( WC = 2x + 5 \)[/tex]
- [tex]\( CY = 3x + 2 \)[/tex]
Since [tex]\( WC \)[/tex] and [tex]\( CY \)[/tex] are opposite sides of the quadrilateral, for [tex]\( WXYZ \)[/tex] to be a parallelogram, these sides must be equal. Therefore, we set their expressions equal to each other:
[tex]\[ 2x + 5 = 3x + 2 \][/tex]
Now, let's solve this equation step-by-step to find the value of [tex]\( x \)[/tex]:
1. Subtract [tex]\( 2x \)[/tex] from both sides of the equation:
[tex]\[ 5 = x + 2 \][/tex]
2. Subtract 2 from both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ x = 3 \][/tex]
Thus, the value of [tex]\( x \)[/tex] that makes quadrilateral [tex]\( WXYZ \)[/tex] a parallelogram is [tex]\( x = 3 \)[/tex].
Thanks for taking the time to read Practice proving that a quadrilateral is a parallelogram In quadrilateral tex WXYZ tex tex WC 2x 5 tex and tex CY 3x 2 tex What. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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