Triangle Proportionality

Front

What is Triangle Proportionality?

Back

Triangle Proportionality states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

If a line segment divides two sides of a triangle proportionally, what can be said about the segments created?

Back

The segments created on the two sides of the triangle are in proportion to the lengths of the sides of the triangle.

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 into segments that are proportional.

Front

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

Back

Set up a proportion using the known lengths and solve for the missing length.

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

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If a triangle has sides of lengths 3, 4, and 5, what is the ratio of the sides?

Back

The ratio of the sides is 3:4:5.

Front

What is the significance of the Side-Splitter Theorem?

Back

The Side-Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

How can you use cross-multiplication to solve for a missing length in triangle proportionality?

Back

Cross-multiply the proportions to create an equation, then solve for the unknown length.

Front

What is an example of a real-world application of triangle proportionality?

Back

Triangle proportionality can be used in architecture to ensure that structures are built to scale.