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

If a midsegment of a triangle is 12 inches long, what is the length of the side it corresponds to?

Back

24 inches.

Tags

CCSS.HSG.SRT.B.4

Front

How many midsegments can be found in a triangle?

Back

A triangle has 3 midsegments.

Front

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

Back

A midsegment is always parallel to one side of the triangle and its length is half the length of that side.

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

DE is half the length of BC.

Tags

CCSS.HSG.SRT.B.4

Front

What is the significance of midsegments in triangle geometry?

Back

Midsegments help in understanding triangle properties, including similarity and proportionality.

Tags

CCSS.HSG.SRT.B.4

Front

If QR is a midsegment of triangle FGH, and QR = 5.5, what is the length of side GH?

Back

11 (since QR is half the length of GH).

Tags

CCSS.HSG.SRT.B.4

Front

What is the formula to find the length of a side of a triangle using its midsegment?

Back

Length of side = 2 * Length of midsegment.

Tags

CCSS.HSG.SRT.B.4

Front

Can the length of a midsegment be determined without knowing the coordinates of the triangle?

Back

Yes, if the lengths of the sides are known.

Tags

CCSS.HSG.SRT.B.4

Front

If segment BD is equal to segment AD, what can be inferred about the triangle?

Back

BD and AD are segments that connect the midpoints of two sides of the triangle.

Tags

CCSS.HSG.CO.C.10