1. **State the problem:** We are given two triangles, Triangle A with sides 10, 18, and 15, and Triangle B with sides 6, 4, and 7.2. We need to find the scale factor from figure A to figure B. 2. **Recall the scale factor formula:** The scale factor from figure A to figure B is the ratio of any side length in A to the corresponding side length in B. Since the triangles are similar, all corresponding side ratios are equal. 3. **Identify corresponding sides:** We must match sides from A to B in order. Let's check which sides correspond by comparing ratios: - $\frac{10}{6} = 1.666\ldots$ - $\frac{18}{4} = 4.5$ - $\frac{15}{7.2} = 2.0833\ldots$ These are not equal, so the order of sides in B might be different. Let's try matching 10 with 7.2: - $\frac{10}{7.2} = 1.3889$ - $\frac{18}{6} = 3$ - $\frac{15}{4} = 3.75$ Still no match. Try matching 15 with 6: - $\frac{15}{6} = 2.5$ - $\frac{10}{4} = 2.5$ - $\frac{18}{7.2} = 2.5$ All three ratios equal 2.5, so the corresponding sides are: - 15 in A corresponds to 6 in B - 10 in A corresponds to 4 in B - 18 in A corresponds to 7.2 in B 4. **Calculate the scale factor:** $$\text{Scale factor} = \frac{\text{side in A}}{\text{corresponding side in B}} = \frac{15}{6} = 2.5$$ 5. **Interpretation:** This means figure A is 2.5 times larger than figure B in all corresponding side lengths. **Final answer:** The scale factor from figure A to figure B is $2.5$.