Side Splitter Theorem Practice ((7))

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 DE is parallel to AB in triangle ABC, and CD = 4, CA = 10, CE = x + 2, and EB = 4x - 7, how do you find the length of CE?

Back

Set up the proportion: CD/CA = CE/EB. Substitute the values and solve for x.

Front

In triangle ABC, if DE is parallel to BC, and AD = 3, DB = 2, what is the relationship between DE and BC?

Back

The lengths of DE and BC are proportional to the segments AD and DB.

Front

Solve for x: 4x - 7 = 3

Back

x = 2.5

Front

If DE = 4 and AB = 10 in triangle ABC, what is the ratio of DE to AB?

Back

The ratio is 4:10 or 2:5.

Front

What does it mean for two lines to be parallel in the context of triangles?

Back

Parallel lines in triangles create similar triangles, allowing for proportional relationships between corresponding sides.

Front

If AD = 3 and DB = 2, what is the total length of AB?

Back

AB = AD + DB = 3 + 2 = 5.

Front

In triangle ABC, if DE is parallel to AB and DE = 4, what can be inferred about the lengths of segments created by DE?

Back

The segments created by DE on the other two sides of the triangle are proportional to the segments on AB.

Front

If CD = 4 and CA = 10, what is the ratio of CD to CA?

Back

The ratio is 4:10 or 2:5.

Front

How do you set up a proportion to solve for a missing length in a triangle with parallel lines?

Back

Use the formula: (length of segment 1)/(length of segment 2) = (length of corresponding segment 1)/(length of corresponding segment 2).