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GeometryQuestion 5•For what values of the variables must ABCD be a parallelogram?

GeometryQuestion 5For What Values Of The Variables Must ABCD Be A Parallelogram class=

Sagot :

SOLUTION:

For parallelograms; opposite sides are congruent;

Thus;

[tex]\begin{gathered} 2y-12=y-2 \\ solving\text{ for y} \\ 2y-y=12-2 \\ y=10 \end{gathered}[/tex]

The shorter opposite sides must be equal too, thus;

[tex]\begin{gathered} 2x+1=y+3 \\ substitute\text{ in y = 10} \\ 2x+1=10+3 \\ 2x+1=13 \\ 2x=12 \\ x=6 \end{gathered}[/tex]

Thus, for the figure to be a parallelogram, x = 6 and y = 10

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