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 their corresponding side lengths are proportional.

Front

How do you determine if two polygons are similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

What is the scale factor in similar figures?

Back

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

Front

If two triangles are similar, what can be said about their angles?

Back

If two triangles are similar, then their corresponding angles are equal.

Front

If a model is built at a scale of 1 cm : 3 m, how do you find the real size of the object?

Back

To find the real size, multiply the model size by the scale factor. For example, if the model is 4 cm tall, the real object is 4 cm * 3 m/cm = 12 m.

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 the sides of two similar figures are in the ratio 2:5, what is the ratio of their areas?

Back

The ratio of their areas is 2^2:5^2, which simplifies to 4:25.

Front

What does it mean for side lengths to be proportional?

Back

Side lengths are proportional if the ratios of the lengths of corresponding sides are equal.

Front

If one triangle has sides of 3 cm, 4 cm, and 5 cm, and is similar to another triangle, what could be the sides of the second triangle?

Back

The sides of the second triangle could be in the ratio of 6 cm, 8 cm, and 10 cm, maintaining the same proportions.

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 lengths of corresponding sides from the similar figures.