Similarity and Scale Factor

Front

What is the definition of similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are congruent, and their corresponding sides are in proportion.

Front

What does it mean if two figures are similar?

Back

If two figures are similar, it means that they have the same shape, their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of similar figures, it is the ratio of the lengths of corresponding sides.

Front

If the scale factor is 2, what does that imply about the sizes of the figures?

Back

If the scale factor is 2, it implies that the second figure is twice as large as the first figure in all dimensions.

Front

Are all angles in similar figures congruent?

Back

True. All corresponding angles in similar figures are congruent.

Front

If two triangles have angles measuring 30°, 60°, and 90°, are they similar?

Back

Yes, they are similar because they have the same angle measures.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and if the lengths of their corresponding sides are proportional.

Front

What is the scale factor if the lengths of corresponding sides are 3 and 6?

Back

The scale factor is 2, calculated as 6 divided by 3.

Front

If two figures are not similar, what can be said about their angles?

Back

If two figures are not similar, their corresponding angles are not equal.

Front

What is the relationship between the areas of two similar figures with a scale factor of 2?

Back

The area of the larger figure is 4 times the area of the smaller figure, since area scales with the square of the scale factor (2^2 = 4).