Here is triangle \(ABC\).

1. Dilate each vertex of triangle \(ABC\) using \(P\) as the center of dilation and a scale factor of 2. Draw the triangle connecting the 3 new points.
2. Dilate each vertex of triangle \(ABC\) using \(P\) as the center of dilation and a scale factor of \(\frac 1 2\). Draw the triangle connecting the 3 new points.

3. Measure the longest side of each of the 3 triangles. What do you notice?

4. Measure the angles of each triangle. What do you notice?

Segment \(AB\) measures 3 cm. Point \(O\) is the center of dilation. How long is the image of \(AB\) after a dilation with:

1. Scale factor 5?
2. Scale factor 3.7?
3. Scale factor \(\frac 1 5\)?
4. Scale factor \(s\)?

Here are points \(A\) and \(B\). Plot the points for each dilation described.

1. \(C\) is the image of \(B\) using \(A\) as the center of dilation and a scale factor of 2.
2. \(D\) is the image of \(A\) using \(B\) as the center of dilation and a scale factor of 2.
3. \(E\) is the image of \(B\) using \(A\) as the center of dilation and a scale factor of \(\frac 1 2\).
4. \(F\) is the image of \(A\) using \(B\) as the center of dilation and a scale factor of \(\frac 1 2\).

Make a perspective drawing. Include in your work the center of dilation, the shape you dilate, and the scale factor you use.

Triangle \(ABC\) and triangle \(DEF\) are scaled copies. Side \(AB\) measures 12 cm and is the longest side of \(ABC\). Side \(DE\) measures 8 cm and is the longest side of \(DEF\).

1. Triangle \(ABC\) is a scaled copy of triangle \(DEF\) with what scale factor?
2. Triangle \(DEF\) is a scaled copy of triangle \(ABC\) with what scale factor?