Warm up T. 11/19 similar polygons

Front

What does it mean for two polygons to be similar?

Back

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

Front

How do you find a missing side in similar polygons?

Back

To find a missing side in similar polygons, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the significance of proportional sides in similar figures?

Back

In similar figures, the sides are proportional, meaning the ratios of the lengths of corresponding sides are equal.

Front

What is a similarity statement?

Back

A similarity statement indicates that two figures are similar, typically written in the form of ΔABC~ΔDEF, where corresponding vertices are in the same order.

Front

What is the relationship between the sides of similar triangles?

Back

The sides of similar triangles are in proportion, meaning the ratio of the lengths of any two corresponding sides is the same.

Front

What is the formula for setting up a proportion between two similar polygons?

Back

If two polygons are similar, the proportion can be set up as \( \frac{a}{b} = \frac{c}{d} \), where a and b are corresponding sides of one polygon and c and d are corresponding sides of the other.

Front

What does the symbol '~' represent in geometry?

Back

The symbol '~' represents similarity between two geometric figures.

Front

How can you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if they satisfy one of the following criteria: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side) similarity.

Front

What is the importance of the order of vertices in a similarity statement?

Back

The order of vertices in a similarity statement is important because it indicates which angles and sides correspond to each other.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.