Question

solve tyrone draws trapezoid k and its dilation, trapezoid k. draw the center of dilation. what is the scale factor? show your work.

Explanation:

Step1: Identify corresponding side - lengths

Choose a pair of corresponding sides of trapezoid $K$ and trapezoid $K'$. Measure their lengths on the grid. Let the length of a side of trapezoid $K$ be $a$ and the length of the corresponding side of trapezoid $K'$ be $b$.

Step2: Calculate the scale - factor

The scale factor $k$ of a dilation is given by the ratio of the length of a side of the dilated figure to the length of the corresponding side of the original figure. So, $k=\frac{b}{a}$.
To find the center of dilation, we can draw lines connecting corresponding vertices of trapezoid $K$ and trapezoid $K'$. The point of intersection of these lines is the center of dilation.

Since no specific side - length values are given in the problem description (only the general task), assume we have measured a side of the original trapezoid $K$ to be 2 units and the corresponding side of the dilated trapezoid $K'$ to be 4 units.
$k = \frac{4}{2}=2$

Answer:

The scale factor is 2. To find the center of dilation, draw lines connecting corresponding vertices and find their intersection point.