The 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

Define a midsegment in a triangle.

Back

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

Front

If segment AB is a midsegment of triangle XYZ, what can be said about segment XY?

Back

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

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 are half the length of that side.

Tags

CCSS.HSG.SRT.B.4

Front

If the length of side GH is 16, what is the length of the midsegment connecting the midpoints of sides G and H?

Back

The length of the midsegment is 8.

Tags

CCSS.HSG.SRT.B.4

Front

In triangle ABC, if segment DE is a midsegment, what can be inferred about segments AB and DE?

Back

Segment DE is parallel to segment AB and DE = 1/2 * AB.

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

What is the significance of midsegments in triangle similarity?

Back

Midsegments help establish similarity between triangles by showing proportional relationships.

Tags

CCSS.HSG.SRT.B.4

Front

If segment QR is a midsegment of triangle WUV and its length is 8, what is the length of side WV?

Back

The length of side WV is 16.

Tags

CCSS.HSG.SRT.B.4

Front

What is the measure of angle formed by two midsegments in a triangle?

Back

The angles formed by two midsegments are equal to the angles of the triangle they are part of.

Tags

CCSS.HSG.CO.C.10