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 by a certain scale factor, maintaining the same shape and proportions.

Front

How do you determine if two figures are scaled copies of each other?

Back

Two figures are scaled copies if they have the same shape and their corresponding sides are in proportion, meaning the ratios of their corresponding lengths are equal.

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 the scaled copy is compared to the original.

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 scaled copies?

Back

The area of a scaled copy is equal to the area of the original figure multiplied by the square of the scale factor.

Front

If a rectangle has a length of 10 and a width of 5, what are 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

What does it mean for two polygons to be similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

How can you visually identify a scaled copy?

Back

You can visually identify a scaled copy by checking if the shapes are the same and if the corresponding sides maintain the same ratio.

Front

What is the significance of the term 'corresponding sides' in scaled copies?

Back

Corresponding sides are the sides of two figures that are in the same relative position; they are used to determine similarity and scale factors.