Triangle Proportionality Theorem

Front

What is the Triangle Proportionality Theorem?

Back

If a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the SAS similarity criterion?

Back

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 is the AA similarity criterion?

Back

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

Front

What is the SSS similarity criterion?

Back

If the three sides of one triangle are proportional to the three sides of another triangle, the triangles are similar.

Front

If two figures are similar, what can be said about their corresponding sides?

Back

The corresponding sides are proportional.

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 6 and the corresponding side in triangle B is 9, what is the ratio of their sides?

Back

The ratio of their sides is 6:9 or 2:3.

Front

What is the relationship between parallel lines and triangle similarity?

Back

Parallel lines create proportional segments in triangles, which can be used to establish similarity.

Front

If two triangles have a corresponding angle of 30 degrees, what can be inferred about their similarity?

Back

More information is needed; at least two angles or a pair of proportional sides must be known.

Front

What is the significance of the hint 'ST and CB are NOT parallel' in a similarity question?

Back

It indicates that the proportionality of sides cannot be assumed based on parallel lines.