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Questions and Answers
What is a scale factor in geometry?
What is a scale factor in geometry?
- A number we multiply side lengths by to give us a new figure. (correct)
- A number that adds to the side lengths to form a new figure.
- A ratio used to compare angles in different figures.
- A measurement that determines the area of a figure.
If a triangle has side lengths of 3, 4, and 5 units, what will be the new side lengths if the scale factor is 2?
If a triangle has side lengths of 3, 4, and 5 units, what will be the new side lengths if the scale factor is 2?
- 5, 7, and 9 units
- 6, 8, and 10 units (correct)
- 1.5, 2, and 2.5 units
- 4, 6, and 7 units
What happens to the figure when a scale factor less than 1 is applied?
What happens to the figure when a scale factor less than 1 is applied?
- The figure is reduced in size. (correct)
- The figure remains the same size.
- The figure becomes larger.
- The figure is enlarged by a certain percentage.
If a rectangle's dimensions are multiplied by a scale factor of 3, how will the area change?
If a rectangle's dimensions are multiplied by a scale factor of 3, how will the area change?
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Which statement is true about a scale factor of 0?
Which statement is true about a scale factor of 0?
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Study Notes
Scale Factor
- Definition: A scale factor is a multiplier used to change the size of a figure.
- Application: It is crucial for enlarging or reducing geometric shapes, maintaining the shape's proportionality.
- New Figure: When each side length of a figure is multiplied by a scale factor, the resulting dimensions create a new, similar figure.
- Example: If a triangle has sides measuring 3 cm, 4 cm, and 5 cm, and a scale factor of 2 is applied, the new side lengths will be 6 cm, 8 cm, and 10 cm respectively.
- Ratio: The scale factor can also be expressed as a ratio of the lengths of corresponding sides in two similar figures.
- Importance: Understanding scale factors is essential for applications in real-world scenarios such as architecture, art, and design.
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