Midsegments

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

How many midsegments can be found in a triangle?

Back

A triangle has three midsegments, one for each pair of sides.

Front

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

Back

A midsegment is parallel to the third side of the triangle and is half its length.

Tags

CCSS.HSG.SRT.B.4

Front

If DE is a midsegment of triangle ABC, what can be said about segments DE and BC?

Back

Segment DE is parallel to segment BC and its length is half of BC.

Tags

CCSS.HSG.SRT.B.4

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create smaller triangles that are similar to the original triangle.

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 formula for the length of a midsegment in a triangle?

Back

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

Tags

CCSS.HSG.SRT.B.4

Front

Can a midsegment be longer than the sides it connects?

Back

No, a midsegment cannot be longer than the sides it connects; it is always shorter.

Tags

CCSS.HSG.SRT.B.4

Front

What is the relationship between midsegments and trapezoids?

Back

In a trapezoid, the segment connecting the midpoints of the non-parallel sides is called the midsegment and is parallel to the bases.

Front

If segment AD is equal in length to segment BD, what can be inferred about triangle ABC?

Back

Segments AD and BD are likely the segments created by the midpoints of sides AB and AC.

Tags

CCSS.HSG.CO.C.10