Triangle Similarity Flashcard

Front

What is the AA similarity criterion for triangles?

Back

The AA (Angle-Angle) similarity criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. It states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. It states that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are proportional.

Front

What is the definition of similar triangles?

Back

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

Front

How can you prove that two triangles are similar using the AA criterion?

Back

To prove that two triangles are similar using the AA criterion, you need to show that two angles of one triangle are equal to two angles of the other triangle.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

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 importance of the proportionality of sides in similar triangles?

Back

The proportionality of sides in similar triangles allows us to use the properties of similar figures to solve problems involving lengths, areas, and other geometric properties.

Front

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

Back

To determine if two triangles are similar using the SSS criterion, you must show that the ratios of the lengths of corresponding sides are equal.