Similarity and Proportions

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 equal, and their corresponding sides are in proportion.

Front

What is the concept of proportionality in similar figures?

Back

Proportionality in similar figures means that the ratios of the lengths of corresponding sides are equal.

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

How do you find the missing side length in similar figures?

Back

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

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the sides of a similar triangle with a scale factor of 2?

Back

The sides of the similar triangle would be 6, 8, and 10.

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 two similar polygons have a scale factor of 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25, since (3/5)² = 9/25.

Front

How can 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 proportional.

Front

What is the missing side length if two similar triangles have sides of 4 and 6, and the corresponding side of the second triangle is x?

Back

x = 6/4 * 4 = 6.