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:

Scale Factor=Side length of Figure BSide length of Figure A=1133=13\text{Scale Factor} = \frac{\text{Side length of Figure B}}{\text{Side length of Figure A}} = \frac{11}{33} = \frac{1}{3}

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:

  1. How do we apply the scale factor to find other side lengths?
  2. What happens to the area of Figure B if we know the area of Figure A and the scale factor?
  3. Can the scale factor ever be greater than 1? What would that imply?
  4. How do we confirm that these shapes are similar?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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