Scaled Copies

Front

What is a scaled copy?

Back

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

Front

How do 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 sides are proportional.

Front

If a triangle has sides of lengths 3, 4, and 5, what would be the lengths of the sides of a scaled copy that is twice as large?

Back

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

Front

What is the scale factor?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If the scale factor is 3, how does the area of the scaled copy compare to the original?

Back

The area of the scaled copy is 3^2 = 9 times larger than the area of the original figure.

Front

Can a scaled copy be a different shape?

Back

No, a scaled copy must maintain the same shape as the original figure, only differing in size.

Front

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

Back

Maps are scaled copies of real-world locations, where distances are reduced to fit on a smaller surface.

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what would be the dimensions of a scaled copy with a scale factor of 0.5?

Back

The dimensions of the scaled copy would be 5 cm (length) and 2.5 cm (width).

Front

What is the relationship between the scale factor and the dimensions of a figure?

Back

The dimensions of a figure are multiplied by the scale factor to obtain the dimensions of the scaled copy.