Math Problem Statement
What is the scale factor from Figure A to Figure B?
Solution
To find the scale factor from Figure A to Figure B, we compare the corresponding side lengths of the two figures.
From the image:
- The longest side in Figure A is 33.
- The corresponding longest side in Figure B is 11.
Now, calculate the scale factor using the ratio of corresponding side lengths:
Thus, the scale factor from Figure A to Figure B is 1/3.
Would you like more details or have any questions?
Here are some related questions:
- How do we apply the scale factor to find other side lengths?
- What happens to the area of Figure B if we know the area of Figure A and the scale factor?
- Can the scale factor ever be greater than 1? What would that imply?
- How do we confirm that these shapes are similar?
- What role does the scale factor play in 3D figures compared to 2D?
Tip: When finding a scale factor, always ensure you're comparing corresponding sides to maintain accuracy.
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Math Problem Analysis
Mathematical Concepts
Geometry
Ratios
Scale Factor
Formulas
Scale Factor = Side length of Figure B / Side length of Figure A
Theorems
Similarity of figures
Suitable Grade Level
Grades 6-8