Quadrilateral MNOP is dilated by a scale factor of % to create quadrilateral M'N'O'P. The perimeter of quadrilateral MNOP is x units. What is the perimeter in units of quadrilateral M'N'O'P'? A. x units B. ( V2 x units COM X units D. 8/7 x units

Quadrilateral MNOP is dilated by a scale factor of to create quadrilateral MNOP The perimeter of quadrilateral MNOP is x units What is the perimeter in units of class=

Respuesta :

If the perimeter of the quadrilateral MNOP is x

And a scale factor of a dilated image is

[tex]\frac{7}{8}[/tex]

If the perimeter of M'N'O'P' = y

Then

[tex]\text{scale factor = }\frac{perimeter\text{ of y}}{perimeter\text{ of x}}\text{ = }\frac{7}{8}[/tex]

Cross multiplying,

[tex]perimeterofy=M^{\prime}N^{\prime}O^{\prime}P^{\prime}=\frac{7}{8}\text{ x units}[/tex]

The perimeter of M'N'O'P' = 7/8 x units

Option A is correct

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