Unit 3 Review: Dilations and Similarity

Front

What does SAS similarity stand for?

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, then the triangles are similar.

Front

What does SSS similarity stand for?

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, then the triangles are similar.

Front

What is the AA similarity postulate?

Back

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

Front

What is the Cross Products Property?

Back

Front

If triangle A is similar to triangle B, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle A has sides of length 3, 4, and 5, and triangle B has sides of length 6, 8, and 10, are the triangles similar?

Back

Yes, triangle A and triangle B are similar because the sides are in proportion (3:6, 4:8, 5:10).

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 proportional.

Front

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

Back

To determine if two triangles are similar using the SSS criterion, check if the ratios of the lengths of their corresponding sides are equal.

Front

What is the relationship between the areas of two 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.

Front

If triangle A has a side length of 5 and triangle B has a corresponding side length of 10, what is the scale factor?

Back

The scale factor from triangle A to triangle B is 2, since 10 divided by 5 equals 2.