Subjects geometry

Scale Factor Enlargement Cbd39D

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1. **State the problem:** We need to find the scale factor of enlargement from the smaller shape to the larger shape in each case. 2. **Formula and rule:** The scale factor of enlargement is the ratio of any corresponding linear lengths in the larger shape to the smaller shape. 3. **Example for shape R to T:** - Shape R covers 1 grid square horizontally and vertically. - Shape T covers approximately 4 grid squares horizontally and vertically. - Scale factor $= \frac{\text{length in larger shape}}{\text{length in smaller shape}} = \frac{4}{1} = 4$ 4. **General explanation:** To find the scale factor, measure a corresponding side length in the smaller shape and the same side in the larger shape, then divide the larger by the smaller. 5. **For other shapes (A to B, P to Q):** - Count the number of small squares or measure lengths on the grid. - Calculate the ratio of lengths. 6. **Summary:** The scale factor is the multiplier that enlarges the smaller shape to the larger one. **Final answers:** - Scale factor from shape A to B (triangles): depends on grid lengths, e.g., if smaller side is 1 and larger is 3, scale factor is 3. - Scale factor from shape P to Q: similarly calculated by length ratio. - Scale factor from shape R to T: 4. Each problem requires measuring corresponding sides and dividing larger by smaller to find the scale factor.