Similar Triangles

Front

What does AA~ stand for in triangle similarity?

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 does SSS~ stand for in triangle similarity?

Back

SSS~ stands for Side-Side-Side similarity, which states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

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 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

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

Front

How can you determine if two triangles are similar using SSS~?

Back

If the lengths of the corresponding sides of two triangles are in the same ratio, then the triangles are similar by SSS~.

Front

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

Back

If two sides of one triangle are proportional to two sides of another triangle and the angles between those sides are equal, then the triangles are similar by SAS~.

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 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, triangle XYZ and triangle PQR are similar by SSS~ because the sides are in proportion (3:6, 4:8, 5:10).