similar polygons

Front

What are similar polygons?

Back

Polygons that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does SSS stand for in the context of similar triangles?

Back

SSS stands for 'Side-Side-Side' similarity, which states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What does SAS stand for in the context of similar triangles?

Back

SAS stands for 'Side-Angle-Side' similarity, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

When two figures are similar, what can be said about their corresponding angles?

Back

Their corresponding angles are equal.

Front

How do you determine if two triangles are similar using the AA criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the relationship between the ratios of the corresponding sides of similar polygons?

Back

The ratios of the corresponding sides of similar polygons are equal.

Front

If the sides of two similar triangles are in the ratio 3:5, what can be said about their areas?

Back

The ratio of their areas will be the square of the ratio of their corresponding sides, which is 9:25.

Front

What is the formula to find the missing side of similar triangles?

Back

If triangle A and triangle B are similar, then (side of triangle A)/(side of triangle B) = (corresponding side of triangle A)/(missing side of triangle B).

Front

What is the significance of the proportionality of sides in similar polygons?

Back

It allows for the calculation of unknown lengths and helps in solving application-based problems involving similar figures.

Front

How can you prove that two triangles are similar using the properties of parallel lines?

Back

If a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally, thus proving similarity.