Triangle Midsegment

Front

What is a midsegment in a triangle?

Back

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

Front

If DE is a midsegment of triangle ABC, what is the relationship between DE and side BC?

Back

DE is parallel to BC and its length is half the length of BC.

Tags

CCSS.HSG.SRT.B.4

Front

In triangle WXY, if QR is a midsegment, what can be said about segments WX and QR?

Back

QR is parallel to WX and its length is half the length of WX.

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

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

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles when drawn in a triangle.

Tags

CCSS.HSG.SRT.B.4

Front

If segment DE is a midsegment of triangle ABC, and BC = 10, what is the length of DE?

Back

DE = 5, since it is half the length of BC.

Tags

CCSS.HSG.SRT.B.4

Front

What is the relationship between the lengths of midsegments in similar triangles?

Back

The lengths of corresponding midsegments in similar triangles are proportional to the lengths of the corresponding sides.

Tags

CCSS.HSG.SRT.B.4

Front

If segment BD = 8, what is the length of segment AD if they are equal?

Back

Segment AD is also 8.

Tags

CCSS.HSG.CO.C.10

Front

In triangle ABC, if DE is a midsegment, what can be inferred about angles D and E?

Back

Angles D and E are equal to the angles at the vertices of triangle ABC that are not connected to the midsegment.

Tags

CCSS.HSG.SRT.B.4

Front

What is the formula to find the length of a midsegment in terms of the lengths of the sides it connects?

Back

Length of midsegment = (Length of side 1 + Length of side 2) / 2.