Geo Similarity Review

Front

What is the definition of similar triangles?

Back

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

Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for 'Angle-Angle Similarity', which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SAS~ stand for in triangle similarity?

Back

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

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for 'Side-Side-Side Similarity', which states that if the three sides of one triangle are proportional to the three sides of another triangle, the triangles are similar.

Front

If triangle ABC is similar to triangle DEF, how can you write a similarity statement?

Back

Triangle ABC ~ Triangle DEF.

Front

What is a similarity ratio?

Back

A similarity ratio is the ratio of the lengths of corresponding sides of two similar figures.

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 significance of the similarity postulates in geometry?

Back

Similarity postulates (AA~, SAS~, SSS~) provide criteria to determine if two triangles are similar, which is essential for solving problems involving proportional relationships.

Front

Can two triangles be similar if only one pair of angles is equal?

Back

No, two triangles cannot be similar if only one pair of angles is equal; at least two pairs of angles must be equal.

Front

What is the relationship between the areas of similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.