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 equal.

Front

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

Back

Two triangles are similar if two of their corresponding angles are equal. If this condition is met, the triangles are similar by AA Similarity.

Front

What is the similarity statement for triangles ΔABC and ΔDEF if they are similar?

Back

The similarity statement is ΔABC ∼ ΔDEF.

Front

If triangle A has angles of 30° and 60°, what are the angles of a similar triangle B?

Back

Triangle B must also have angles of 30° and 60° to be similar to triangle A.

Front

What is the relationship between the sides of similar triangles?

Back

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

Front

If triangle A has sides of lengths 3, 4, and 5, and triangle B is similar to triangle A with a scale factor of 2, what are the lengths of the sides of triangle B?

Back

The lengths of the sides of triangle B are 6, 8, and 10.

Front

What is the formula for finding the scale factor between two similar triangles?

Back

The scale factor is found by dividing the length of a side of one triangle by the length of the corresponding side of the other triangle.

Front

If two triangles are similar and one has a side length of 10 cm, and the corresponding side in the other triangle is 5 cm, what is the scale factor?

Back

The scale factor is 0.5.

Front

What is the significance of the AA criterion in geometry?

Back

The AA criterion is significant because it provides a simple way to prove that two triangles are similar without needing to know the lengths of their sides.

Front

If triangle A is similar to triangle B and the angles of triangle A are 45°, 45°, and 90°, what are the angles of triangle B?

Back

The angles of triangle B are also 45°, 45°, and 90°.