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 in proportion to the lengths of the sides they divide.

Front

What is the basic formula for Triangle Proportionality?

Back

If a line segment 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 can you find the missing length in a proportional triangle?

Back

Use the proportion formula: a/b = c/x, where x is the missing length.

Front

What is the significance of similar triangles in Triangle Proportionality?

Back

Similar triangles have corresponding sides that are proportional, which is the basis for applying Triangle Proportionality.

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 relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

How do you set up a proportion to solve for x in a triangle?

Back

Identify the corresponding sides and set up the equation: (side1/side2) = (side3/x).

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle Midsegment Theorem states that a segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.

Front

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

Back

Length of midsegment = 1/2 * Length of the third side.