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 concluded?

Back

The line segment is parallel to the third side of the triangle.

Front

What is the formula for finding the length of a side in a proportional triangle?

Back

If AB || CD, then (AE/EB) = (AC/CD) where E is the point of intersection.

Front

How do you solve for x in a proportional triangle?

Back

Set up a proportion based on the lengths of the sides and cross-multiply to solve for x.

Front

What is the significance of similar triangles in relation to proportionality?

Back

Similar triangles have corresponding sides that are proportional, which allows for the use of ratios to find unknown lengths.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

What is the Side-Splitter Theorem?

Back

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

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if their sides are in proportion.

Front

What is the relationship between the lengths of the sides of similar triangles?

Back

The lengths of the corresponding sides of similar triangles are in the same ratio.

Front

If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?

Back

It is a right triangle, as it follows the Pythagorean theorem (3^2 + 4^2 = 5^2).