Scaled Copies

Front

What is a scaled copy in geometry?

Back

A scaled copy is a figure that is similar to another figure but is either larger or smaller, maintaining the same shape and proportions.

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, check if the corresponding angles are equal and the lengths of corresponding sides are in the same ratio.

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

What is the scale factor in a scaled copy?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures, indicating how much larger or smaller one figure is compared to the other.

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

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 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 scale factor.

Front

If a rectangle has a length of 10 and a width of 5, what would be the dimensions of a scaled copy with a scale factor of 3?

Back

The dimensions of the scaled copy would be 30 (length) and 15 (width).

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 one figure by the length of the corresponding side of the other figure.

Front

What is the significance of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal, which is a key property that helps establish similarity.