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 sides are in proportion.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

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, their corresponding angles are equal.

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.

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 sides.

Front

If the scale factor of two similar rectangles is 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25.

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.

Front

If a small triangle has sides of 3 cm, 4 cm, and 5 cm, and is similar to a larger triangle, what could be the lengths of the larger triangle's sides if the scale factor is 2?

Back

The larger triangle's sides would be 6 cm, 8 cm, and 10 cm.

Front

What is a real-world application of similar figures?

Back

Similar figures can be used in architecture to create scale models of buildings.