Question

1. describe the dilation of quadrilateral mnop, using the origin as the center.

Explanation:

First, identify coordinates of original and dilated points:

• Original quadrilateral MNOP: $M(6,3)$, $N(8,9)$, $O(0,0)$, $P(8,5)$
• Dilated quadrilateral M'N'O'P': $M'(2,1)$, $N'(3,3)$, $O'(0,0)$, $P'(3,\frac{5}{3})$

Next, calculate the scale factor $k$ by dividing dilated coordinates by original coordinates (e.g., $\frac{2}{6}=\frac{1}{3}$, $\frac{1}{3}=\frac{1}{3}$). All points show the same scale factor, and the center is the origin as given.

Answer:

This is a reduction dilation with a scale factor of $\frac{1}{3}$ centered at the origin. Each vertex of quadrilateral MNOP is mapped to a vertex of M'N'O'P' by multiplying its $x$- and $y$-coordinates by $\frac{1}{3}$.