September 26th Flashcardziz Triangle Similarity Postulates

Front

What does AA similarity postulate state?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does SSS similarity postulate state?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What does SAS similarity postulate state?

Back

If two sides of one triangle are in proportion 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 using AA?

Back

Check 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 SSS?

Back

Measure the lengths of the corresponding sides and check if the ratios are equal.

Front

How can you determine if two triangles are similar using SAS?

Back

Check if two sides are in proportion and the angle between them is equal.

Front

What is the relationship between similar triangles and their corresponding angles?

Back

In similar triangles, corresponding angles are equal.

Front

What is the relationship between similar triangles and their corresponding sides?

Back

In similar triangles, the lengths of corresponding sides are in proportion.

Front

If triangle ABC is similar to triangle DEF, what can be said about their angles?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Front

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

Back

The ratio of their areas is equal to the square of the ratio of their corresponding sides.