Question

1. dilating point a using center c and scale factor 2.5 gives image a. dilating point b using center c and scale factor 2.5 gives image b.

a. what can you say about line ab and line ab?
b. what is the length of segment ab?

Explanation:

Step1: Analyze line relationship

Dilation preserves parallelism, so lines $AB$ and $A'B'$ are parallel.

Step2: Calculate $A'B'$ length

Multiply $AB$ length by scale factor.
$\text{Length of } A'B' = 4 \times 2.5 = 10$

Answer:

a. Line $AB$ and line $A'B'$ are parallel.
b. $10$