Triangle Theorems Warm-Up

Front

What is the Triangle Proportionality Theorem?

Back

The Triangle Proportionality Theorem states that 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 corresponding sides of similar triangles are in proportion.

Front

Back

x = 24.

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart.

Front

What is the relationship between the angles formed by a transversal intersecting two parallel lines?

Back

When a transversal intersects two parallel lines, alternate interior angles are equal, and corresponding angles are equal.

Front

Back

x = 12.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are in proportion.

Front

Back

Front

Back

x = 31.5.

Front

What is the definition of a transversal?

Back

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