Triangle Midsegments

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

What is the relationship between a triangle's midsegment and its opposite side?

Back

The length of the midsegment is half the length of the opposite side.

Tags

CCSS.HSG.SRT.B.4

Front

If QR is a midsegment of triangle FGH, what is the formula to find the length of the opposite side?

Back

2(midsegment) = opposite side.

Tags

CCSS.HSG.SRT.B.4

Front

Is the midsegment of a triangle always parallel to the opposite side?

Back

Yes, the midsegment is always parallel to the side opposite to it.

Front

What can you conclude if two segments have arrow markings indicating they are parallel?

Back

The segments are parallel due to the arrow markings.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

If the midsegment of a triangle is 5 units long, what is the length of the side it is parallel to?

Back

10 units.

Tags

CCSS.HSG.SRT.B.4

Front

What is the significance of the midsegment in triangle similarity?

Back

The midsegment creates two smaller triangles that are similar to the original triangle.

Tags

CCSS.HSG.SRT.B.4

Front

If segment DE is a midsegment of triangle ABC, what can be said 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

What is the value of x if the midsegment is 5.5 units long?

Back

x = 11 units.

Tags

CCSS.HSG.SRT.B.4

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