8.2B HW - Side Splitter Theorem

Front

What is 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

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

Back

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

Front

In a triangle, if segment DE is parallel to side BC and divides sides AB and AC, what is the relationship between the lengths?

Back

AB/AD = AC/AE.

Front

If AD = 3, AB = 6, and AE = 4, what is the length of AC?

Back

AC = 8 (using the proportion AB/AD = AC/AE).

Front

What is the formula to find the missing length using the Side Splitter Theorem?

Back

If DE || BC, then AB/AD = AC/AE.

Front

If a triangle has sides of lengths 10 and 15, and a line segment divides these sides into lengths of 4 and x, what is x?

Back

x = 6 (using the proportion 10/4 = 15/x).

Front

How do you determine if two triangles are similar using the Side Splitter Theorem?

Back

If the corresponding sides are proportional, the triangles are similar.

Front

What is the significance of parallel lines in the context of the Side Splitter Theorem?

Back

Parallel lines create proportional segments on the intersected sides of the triangle.

Front

If a triangle has sides of lengths 12 and 18, and a line segment divides these sides into lengths of 5 and y, what is y?

Back

y = 7.5 (using the proportion 12/5 = 18/y).

Front

What is the relationship between the segments created by a transversal intersecting two parallel lines?

Back

The segments are proportional to the lengths of the sides of the triangle.