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, maintaining the same shape and proportions.

Front

How can you determine if two figures are scaled copies?

Back

Two figures are scaled copies if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

What does it mean for two polygons to be similar?

Back

Two polygons are similar if they have the same shape but may differ in size, meaning their corresponding angles are equal and their sides are proportional.

Front

If polygon A has sides of length 2, 4, and 6, what would be the lengths of the sides of a scaled copy that is twice as large?

Back

The lengths would be 4, 8, and 12.

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.

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.

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 an example of a real-world scaled copy?

Back

A map is a scaled copy of a geographical area, where distances are reduced proportionally.

Front

If figure F is scaled down by a factor of 0.5, what happens to its dimensions?

Back

All dimensions of figure F are halved.

Front

What is the relationship between the scale factor and the corresponding angles in scaled copies?

Back

The corresponding angles remain equal regardless of the scale factor.