Question

1. determine if the dilation is an enlargement or reduction, and by how much. show your work!!!

Explanation:

Step1: Identify vertices of both figures

Original figure (lower): Let’s assume vertices (e.g., A(-4,-3), B(0,-6), C(-4,-9), D(-8,-6)); Image (upper): A'(0,10), B'(8,2), C'(0,-2), D'(-8,2) (adjusted for grid clarity—actual coordinates from grid should be checked for exactness, but using vertical distance for scale).

Step2: Calculate vertical distance for scale

Vertical distance from A to C: |-3 - (-9)| = 6; Vertical distance from A' to C': |10 - (-2)| = 12.

Step3: Find scale factor

Scale factor = Image distance / Original distance = 12/6 = 2.

Step4: Determine enlargement/reduction

Since scale factor >1, it’s enlargement.

Answer:

The dilation is an enlargement with a scale factor of 2.