Unit 3 Day 9 CW - AA Similarity

Front

What does AA Similarity stand for?

Back

AA Similarity stands for Angle-Angle Similarity, a criterion for determining if two triangles are similar based on having two pairs of corresponding angles that are equal.

Front

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

Back

The corresponding angles of similar triangles are congruent.

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 AA Similarity criterion used for?

Back

The AA Similarity criterion is used to prove that two triangles are similar if two angles of one triangle are equal to two angles of another triangle.

Front

How can you determine if two triangles are similar using AA Similarity?

Back

To determine if two triangles are similar using AA Similarity, check if two pairs of corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, how is this written?

Back

Front

What is the relationship between the sides of similar triangles?

Back

The sides of similar triangles are in proportion, meaning the ratios of the lengths of corresponding sides are equal.

Front

If triangle ABC has sides of lengths 3, 4, and 5, and triangle DEF is similar to triangle ABC with a side length of 6, what is the length of the corresponding side in triangle DEF?

Back

Front

What is the significance of the AA Similarity theorem in geometry?

Back

The AA Similarity theorem is significant because it provides a simple method to prove triangle similarity without needing to measure side lengths.

Front

If two triangles have one angle of 60 degrees and another angle of 30 degrees, what can be concluded about their similarity?

Back

The triangles are similar by AA Similarity because they have two pairs of equal angles.