Midsegment and Side Splitter Theorem

Front

What is the Midsegment Theorem?

Back

The 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 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 the midsegment of triangle ABC, what is the relationship between DE and BC?

Back

DE is parallel to BC and DE = 1/2 BC.

Front

How do you find the length of a midsegment in a triangle?

Back

To find the length of a midsegment, measure the lengths of the two sides it connects, and use the formula: Midsegment = 1/2 (Base side length).

Front

If a triangle has sides of lengths 10 and 14, what is the length of the midsegment connecting these sides?

Back

The length of the midsegment is 12 (which is 1/2 of the base side length of 24).

Front

What is the formula for the Side Splitter Theorem?

Back

If a line parallel to one side of a triangle intersects the other two sides, then the segments created are proportional: AB/AC = DE/DF.

Front

If DE is parallel to BC and DE = 8, what is the length of BC if the ratio of DE to BC is 1:2?

Back

BC = 16.

Front

In triangle ABC, if AD is a midsegment, and AB = 10 and AC = 14, what is the length of AD?

Back

AD = 7 (AD is half the length of BC).

Front

What does it mean for two segments to be proportional?

Back

Two segments are proportional if the ratio of their lengths is constant.

Front

If a triangle has sides of lengths 6 and 9, what is the length of the midsegment connecting these sides?

Back

The length of the midsegment is 7.5 (which is 1/2 of the base side length of 15).