6.4 Similar Triangles

Front

What is the AA Similarity Postulate?

Back

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

Front

What does SSS Similarity mean?

Back

If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What is SAS Similarity?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

In similar polygons, what is true about corresponding sides?

Back

Corresponding sides are proportional.

Front

In similar polygons, what is true about corresponding angles?

Back

Corresponding angles are congruent.

Front

How can you determine if two triangles are similar?

Back

By using AA, SSS, or SAS similarity criteria.

Front

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

Back

Angle A is congruent to angle D, angle B is congruent to angle E, and angle C is congruent to angle F.

Front

If the sides of triangle XYZ are 3, 4, and 5, and the sides of triangle PQR are 6, 8, and 10, are the triangles similar?

Back

Yes, they are similar by SSS similarity because the sides are in proportion (3:6, 4:8, 5:10).

Front

What is the relationship between the areas of two similar triangles?

Back

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

Front

If two triangles have a pair of congruent angles, what can be concluded?

Back

The triangles are similar by the AA similarity postulate.