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

What does it mean for two segments to be parallel?

Back

Two segments are parallel if they are always the same distance apart and never meet, no matter how far they are extended.

Front

How can you prove that two segments are parallel using proportions?

Back

You can prove that two segments are parallel by showing that the ratios of the lengths of the segments are equal, as stated in the Triangle Proportionality Theorem.

Front

What is the formula for the Triangle Proportionality Theorem?

Back

Front

Back

Front

What is a transversal in geometry?

Back

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

Front

How do you find the missing length in a triangle using proportions?

Back

To find the missing length, set up a proportion using the known lengths and solve for the unknown variable.

Front

What is the significance of corresponding angles when two lines are parallel?

Back

When two lines are parallel, corresponding angles are equal, which can be used to prove that lines are parallel.

Front

What is the relationship between the sides of similar triangles?

Back

In similar triangles, the lengths of corresponding sides are proportional.

Front

Back