Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the ratios of their corresponding sides are proportional.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, compare the ratios of their corresponding sides. If the ratios are equal, the figures are similar.

Front

What is the significance of corresponding angles in similar figures?

Back

In similar figures, corresponding angles are equal, which helps establish the similarity of the figures.

Front

If two triangles have sides in the ratio of 3:5, are they similar?

Back

Yes, if the corresponding angles are also equal, the triangles are similar.

Front

What is a scale factor in the context of similar figures?

Back

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

Front

How can you find a missing side length in similar figures?

Back

To find a missing side length, set up a proportion using the ratios of the corresponding sides of the similar figures.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2:1, meaning triangle DEF is twice the size of triangle ABC.

Front

What does it mean if two figures are not similar?

Back

If two figures are not similar, it means that their corresponding angles are not equal or the ratios of their corresponding sides are not proportional.

Front

How do you find the height of an object using similar figures?

Back

You can find the height of an object by using the proportions of similar triangles formed by the object and a reference triangle.