Triangle proportionality Theorem

Front

Two objects that are the same shape but not the same size are _______.

Back

Similar

Front

The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________.

Back

congruent; similar

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

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

Back

The ratios of their corresponding sides are equal.

Front

Back

x = 24.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about the lengths of their sides?

Back

The lengths of the sides of triangle ABC are proportional to the lengths of the sides of triangle DEF.

Front

Back

This represents the proportionality of the sides of two similar triangles.

Front

What is the Side-Splitter Theorem?

Back

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