Midsegments and SideSplitting Theorem

Front

What is the Midsegment of a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

What does the Side-Splitting Theorem state?

Back

The Side-Splitting 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

If segment AB is the midsegment of triangle CDE, what can be said about segment AB?

Back

Segment AB is parallel to segment CD and its length is half the length of segment CD.

Front

What are similar figures?

Back

Similar figures are two shapes that have the same shape but may differ in size.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are in proportion.

Front

If the length of one side of a triangle is 12 cm and the corresponding side of a similar triangle is 18 cm, what is the scale factor?

Back

The scale factor is 3/2 or 1.5.

Front

What is the relationship between the lengths of the sides of similar triangles?

Back

The lengths of the corresponding sides of similar triangles are proportional.

Front

If the midsegment of a triangle measures 10 cm, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 20 cm.

Front

What is the formula to find the length of a midsegment in a triangle?

Back

The length of the midsegment is equal to half the length of the side it is parallel to.

Front

If triangle ABC has midsegment DE, and DE = 9 cm, what is the length of side AC?

Back

The length of side AC is 18 cm.