College

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!

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 must [tex]x[/tex] equal for quadrilateral [tex]WXYZ[/tex] to be a parallelogram?

[tex]x = \square[/tex]

Answer :

To determine what [tex]\( x \)[/tex] must equal for quadrilateral [tex]\( WXYZ \)[/tex] to be a parallelogram, we need to ensure that opposite sides are equal. The problem gives us the expressions for two sides of the quadrilateral:

- [tex]\( WC = 2x + 5 \)[/tex]
- [tex]\( CY = 3x + 2 \)[/tex]

Since the quadrilateral is a parallelogram, opposite sides should be equal, so we can set:

[tex]\[ 2x + 5 = 3x + 2 \][/tex]

Now, let's solve this equation step-by-step:

1. Start with the equation:

[tex]\[ 2x + 5 = 3x + 2 \][/tex]

2. To isolate [tex]\( x \)[/tex] on one side, first subtract [tex]\( 2x \)[/tex] from both sides:

[tex]\[ 5 = x + 2 \][/tex]

3. Next, subtract 2 from both sides to solve for [tex]\( x \)[/tex]:

[tex]\[ 5 - 2 = x \][/tex]

[tex]\[ 3 = x \][/tex]

So, [tex]\( x \)[/tex] must be equal to 3 for quadrilateral [tex]\( WXYZ \)[/tex] to be a parallelogram.

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!

Rewritten by : Barada