1. **Problem:** Given that ΔA'B'C' is the image of ΔABC after a dilation of scale factor 2, determine which statement is true. 2. **Recall:** A dilation with scale factor $k$ changes lengths by multiplying them by $k$, but angle measures remain the same. 3. **Analyze each statement:** - Statement 1: $AB = A'B'$ - Since dilation scales lengths by 2, $A'B' = 2 \times AB$, so this is false. - Statement 2: $BC = 2(B'C')$ - After dilation, $B'C' = 2 \times BC$, so $BC = 2(B'C')$ means $BC = 2 \times 2 BC = 4 BC$, which is false. - Statement 3: $m\angle B = m\angle B'$ - Dilation preserves angle measures, so this is true. - Statement 4: $m\angle A = \frac{1}{2} m\angle A'$ - Angles do not change size under dilation, so this is false. 4. **Conclusion:** The true statement is **3) $m\angle B = m\angle B'$**.