Proving Similar Triangles

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side, a criterion for triangle similarity that states if the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side, a criterion for triangle similarity that states 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

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, a criterion for triangle similarity that states if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

Can similar figures have different sizes?

Back

Yes, similar figures can have different sizes but they must have the same shape and their corresponding sides must be proportional.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are always equal.

Front

What is the relationship between corresponding sides in similar triangles?

Back

In similar triangles, corresponding sides are proportional.

Front

If two triangles have one angle equal and the sides including that angle are proportional, what can be concluded?

Back

The triangles are similar by the SAS similarity criterion.

Front

If two triangles have two angles equal, what can be concluded?

Back

The triangles are similar by the AA similarity criterion.

Front

What is the Side Splitter Theorem?

Back

The Side Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

What is the first step to determine if two triangles are similar?

Back

The first step is to check if any pairs of angles are equal (AA criterion) or if the sides are proportional (SSS or SAS criteria).