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?

Back

The segments created on the two sides of the triangle are proportional to the lengths of the sides they divide.

Front

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

Back

If a line divides two sides of a triangle, then a/b = c/d, where a and b are segments on one side, and c and d are segments on the other side.

Front

How do you find the missing length in a proportional triangle?

Back

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

Front

What is the significance of the Triangle Proportionality Theorem in geometry?

Back

It helps in solving problems related to similar triangles and finding unknown lengths.

Front

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

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

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

If a triangle has sides of lengths 6, 8, and 10, what is the ratio of the sides?

Back

The ratio of the sides is 6:8:10, which simplifies to 3:4:5.