Triangle Similarity Theorems and Postulates

Front

What is the Angle-Angle (AA) Similarity Theorem?

Back

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

Front

What does the Side-Side-Side (SSS) Similarity Theorem state?

Back

Two triangles are similar if their corresponding sides are in proportion.

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.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

What does the Side-Angle-Side (SAS) Similarity Theorem state?

Back

If an angle of one triangle is equal to an angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

How can you determine if two triangles are similar using their angles?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA similarity).

Front

What is the significance of proportional sides in triangle similarity?

Back

Proportional sides indicate that the triangles are similar, meaning they have the same shape but not necessarily the same size.

Front

What is a transversal in geometry?

Back

A transversal is a line that intersects two or more lines at different points.

Front

How does the Side Splitter Theorem apply to parallel lines?

Back

It states that segments created by a transversal intersecting parallel lines are proportional to the lengths of the segments on the other side.

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.