Question

p.1 classwork
name

1. dilate the figure below using a scale factor of 1/2 using b as the center of dilation.
2. dilate the figure of a scale factor of 3 using m as the center of dilation

Explanation:

Step1: Understand Dilation Rules

Dilation scales a figure from a center (M or B) by a factor. For a scale factor \( k \), each vertex's distance from the center is multiplied by \( k \).

Step2: Dilation for Scale Factor \( \frac{1}{2} \) (Center B)

1. Identify vertices of the quadrilateral. Measure their radial distance from B (e.g., count grid circles).
2. Multiply each distance by \( \frac{1}{2} \). Plot new vertices at these scaled distances, keeping the same angular position.
3. Connect the new vertices to form the dilated figure.

Step3: Dilation for Scale Factor 3 (Center M)

1. Identify vertices of the quadrilateral. Measure their radial distance from M.
2. Multiply each distance by 3. Plot new vertices at these scaled distances, same angle.
3. Connect new vertices to form the dilated figure.

Answer:

(Visual completion: For part 1, vertices are half as far from B; for part 2, three times as far from M. Draw the scaled quadrilaterals accordingly.)