6.4 Triangle Midsegment Theorem

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle Midsegment Theorem states that a midsegment of a triangle is parallel to one side of the triangle and its length is half the length of that side.

Tags

CCSS.HSG.SRT.B.4

Front

What is a midsegment in a triangle?

Back

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

Front

If QR is a midsegment of triangle BCD, what can be said about the lengths of QR and side BD?

Back

QR is half the length of side BD.

Tags

CCSS.HSG.SRT.B.4

Front

Name a midsegment of triangle ABC.

Back

Segment DE, where D and E are midpoints of sides AB and AC respectively.

Front

Complete the statement: The midsegment of a triangle is half the length of the ___ ____ to it.

Back

side parallel.

Tags

CCSS.HSG.SRT.B.4

Front

If the length of side BC is 20, what is the length of the midsegment DE?

Back

10, because DE is half the length of BC.

Tags

CCSS.HSG.SRT.B.4

Front

How do you find the length of a midsegment if you know the lengths of the two sides it connects?

Back

The length of the midsegment is the average of the lengths of the two sides it connects.

Front

If segment DE is a midsegment of triangle ABC, and AB = 14, what is the length of DE?

Back

DE = 7, because DE is half the length of AB.

Tags

CCSS.HSG.SRT.B.4

Front

What is the relationship between midsegments and the sides of a triangle?

Back

Midsegments are always parallel to one side of the triangle and half its length.

Tags

CCSS.HSG.SRT.B.4

Front

If the midsegment of triangle XYZ is 9, what is the length of the side it is parallel to?

Back

18, because the midsegment is half the length of the side it is parallel to.

Tags

CCSS.HSG.SRT.B.4