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7th Grade Math: Scale Factor

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Questions and Answers

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?

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?

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?

<p>The area is multiplied by 9.</p> Signup and view all the answers

Which statement is true about a scale factor of 0?

<p>It transforms the figure into a point.</p> Signup and view all the answers

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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Description

This quiz covers the concept of scale factors, focusing on how this number affects the side lengths of shapes. It is essential for understanding geometry in 7th-grade math. Prepare to test your knowledge on multiplying side lengths to create new figures.