Similarity

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, then the triangles are similar.

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if they satisfy any of the following criteria: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side) similarity.

Front

What is the scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If two triangles are similar, how do you find a missing side length?

Back

To find a missing side length in similar triangles, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

What is the significance of the scale factor being less than 1?

Back

If the scale factor is less than 1, it indicates that the second triangle is a reduction of the first triangle.

Front

What is the significance of the scale factor being greater than 1?

Back

If the scale factor is greater than 1, it indicates that the second triangle is an enlargement of the first triangle.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

What is the AA criterion for triangle similarity?

Back

The AA criterion 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 SSS criterion for triangle similarity?

Back

The SSS criterion states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.