Scaled Copies

Front

What is a scaled copy?

Back

A scaled copy is a figure that is proportional in size to another figure, meaning all corresponding lengths are in the same ratio.

Front

How can you determine if one figure is a scaled copy of another?

Back

To determine if one figure is a scaled copy of another, compare the ratios of corresponding lengths and angles. If they are equal, the figures are scaled copies.

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, which means their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the significance of the scale factor in scaled copies?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much larger or smaller the scaled copy is compared to the original.

Front

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

Back

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

Front

Can a figure be a scaled copy of itself?

Back

Yes, a figure is always a scaled copy of itself with a scale factor of 1.

Front

What is the relationship between the areas of two similar figures with a scale factor of k?

Back

The area of the scaled copy is k^2 times the area of the original figure.

Front

If two polygons are similar, how do their corresponding angles compare?

Back

The corresponding angles of similar polygons are equal.

Front

What is an example of a real-world application of scaled copies?

Back

Maps are scaled copies of geographical areas, where distances on the map are proportional to actual distances on the ground.

Front

How do you find the scale factor between two similar figures?

Back

To find the scale factor, divide the length of a side of the scaled copy by the length of the corresponding side of the original figure.