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

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent

Front

Back

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

Their corresponding angles are congruent.

Front

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

Back

Their corresponding sides are proportional.

Front

Back

x = 24.5

Front

Back

x = 25.5

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 6 and 9 respectively, what is the ratio of their corresponding sides?

Back

Front

Back

DF = 8.

Front

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

Back

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