Scaled Copies

Front

What is a scaled copy?

Back

A scaled copy is a figure that is similar to another figure but is a different size, created by multiplying the dimensions of the original figure by a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of scaled copies, it is the ratio of the dimensions of the scaled copy to the dimensions of the original figure.

Front

How can you determine if two figures are scaled copies?

Back

Two figures are scaled copies if they have the same shape and their corresponding sides are in proportion.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their corresponding sides are proportional.

Front

If a triangle has sides of lengths 3, 4, and 5, what would be the sides of a scaled copy with a scale factor of 2?

Back

The sides of the scaled copy would be 6, 8, and 10.

Front

Is a rectangle with dimensions 4 cm by 6 cm a scaled copy of a rectangle with dimensions 2 cm by 3 cm?

Back

Yes, because the dimensions are proportional (2:1 ratio).

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

If the scale factor is 3, what happens to the dimensions of the original figure?

Back

The dimensions of the original figure are multiplied by 3 to create the scaled copy.

Front

Can a figure be a scaled copy of itself?

Back

Yes, a figure can be a scaled copy of itself if the scale factor is 1.

Front

What is the importance of maintaining proportions in scaled copies?

Back

Maintaining proportions ensures that the shape and angles of the figure remain consistent, which is essential for the figure to be a true scaled copy.