1. **State the problem:** We have two triangles, Figure A and Figure B, where Figure B is a dilation of Figure A centered at the origin. We need to find the scale factor of this dilation. 2. **Recall the formula for dilation:** If a point $(x,y)$ is dilated by a scale factor $k$ centered at the origin, the new point is $(kx, ky)$. 3. **Identify corresponding points:** From the problem, approximate coordinates are: - Figure A vertices: $(9,7)$, $(14,7)$, $(14,4)$ - Figure B vertices: $(3,2)$, $(5,2)$, $(5,1)$ 4. **Calculate scale factor using corresponding points:** Using the first vertex pair: $$k = \frac{\text{coordinate of B}}{\text{coordinate of A}}$$ For the x-coordinate: $$k = \frac{3}{9}$$ Simplify: $$k = \frac{\cancel{3}^1}{\cancel{9}^3} = \frac{1}{3}$$ 5. **Verify with another vertex:** For the second vertex x-coordinate: $$k = \frac{5}{14}$$ This is approximately $0.357$, which is close to $\frac{1}{3} = 0.333$ considering rounding. For the y-coordinate of the first vertex: $$k = \frac{2}{7} \approx 0.286$$ For the y-coordinate of the third vertex: $$k = \frac{1}{4} = 0.25$$ Since the points are approximate, the best consistent scale factor is $\frac{1}{3}$. 6. **Conclusion:** The scale factor of the dilation is $\boxed{\frac{1}{3}}$. This means every coordinate of Figure A is multiplied by $\frac{1}{3}$ to get Figure B.