12/10 REDO (457) 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

Define parallel lines in the context of triangles.

Back

Parallel lines are lines in a plane that do not meet; they are always the same distance apart and will never intersect.

Front

What does it mean if two lines are not parallel?

Back

If two lines are not parallel, they will eventually intersect at some point.

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

How do you determine if two segments are parallel using Triangle Proportionality?

Back

To determine if two segments are parallel, check if the ratios of the lengths of the segments are equal.

Front

What is the formula for finding the missing segment in a proportional triangle?

Back

Front

If AB II DE, what can be inferred about the segments?

Back

If AB is parallel to DE, then the segments are proportional to the segments they intersect.

Front

What is the significance of the value of x in triangle proportionality problems?

Back

The value of x often represents a length or segment that maintains the proportional relationship between the sides of the triangle.

Front

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

Back

To set up a proportion, equate the ratios of the corresponding sides of the triangles or segments.

Front

What is the relationship between the segments in similar triangles?

Back

In similar triangles, corresponding sides are proportional, meaning the ratios of their lengths are equal.