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 a different size, created by multiplying the dimensions of the original figure by a scale factor.

Front

What does the term 'scale factor' refer to?

Back

The scale factor is the number by which all dimensions of a figure are multiplied to create a scaled copy.

Front

If the scale factor is 4, what does this imply about the dimensions of the scaled copy compared to the original?

Back

It implies that each dimension of the scaled copy is 4 times larger than the corresponding dimension of the original figure.

Front

How do you determine which sides correspond in scaled copies?

Back

Corresponding sides in scaled copies are the sides that are in the same relative position in both figures.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal.

Front

If side length MQ in Figure 2 corresponds to side length AE in Figure 1, what can be inferred about their lengths if the scale factor is known?

Back

If the scale factor is known, you can calculate the length of MQ by multiplying the length of AE by the scale factor.

Front

What is the significance of identifying corresponding sides in scaled copies?

Back

Identifying corresponding sides is crucial for solving problems related to similarity, scale factors, and proportional relationships.

Front

How can you find the length of a side in a scaled copy if you know the original length and the scale factor?

Back

Multiply the original length by the scale factor to find the length of the corresponding side in the scaled copy.

Front

What is the formula to calculate the area of a scaled copy based on the scale factor?

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

Back

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