Prove Triangles Similar with AA, SSS, SAS

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. If the three sides of one triangle are proportional to the three sides of another triangle, the triangles are similar.

Front

How can you prove 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 the AA postulate.

Front

How can you prove triangles are similar using SAS?

Back

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

Front

How can you prove triangles are similar using SSS?

Back

If the ratios of the lengths of corresponding sides of two triangles are equal, then the triangles are similar by the SSS postulate.

Front

What is the relationship between similar triangles and their angles?

Back

Similar triangles have equal corresponding angles.

Front

What is the relationship between similar triangles and their sides?

Back

Similar triangles have proportional corresponding sides.

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

Back

The ratios of the lengths of corresponding sides are equal: \( \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF} \)