Triangle Midsegment

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 midsegment and the third side of the triangle?

Back

The length of a midsegment is always half the length of the third side of the triangle.

Tags

CCSS.HSG.CO.C.10

Front

If GH is a midsegment of triangle DEF, what is the equation that represents its length?

Back

GH = 1/2 DF.

Tags

CCSS.HSG.SRT.B.4

Front

In triangle BCD, if QR is a midsegment, how do you find the value of x if QR = 1/2 BC?

Back

Set up the equation QR = 1/2 BC and solve for x.

Tags

CCSS.HSG.SRT.B.4

Front

What is the formula to calculate the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all its sides.

Tags

CCSS.3.MD.D.8

Front

If BD = 16, EA = 5, and FC = 3, how do you find the perimeter of triangle ABC?

Back

Add the lengths of all sides: Perimeter = AB + BC + CA = BD + EA + FC.

Tags

CCSS.3.MD.D.8

Front

What is the significance of midsegments in triangle geometry?

Back

Midsegments help in understanding triangle properties, such as similarity and proportionality.

Tags

CCSS.HSG.SRT.B.4

Front

How can you identify a midsegment in a triangle?

Back

A midsegment can be identified by locating the midpoints of two sides and drawing a line segment between them.

Front

What is the length of a midsegment if the third side of the triangle is 30 units?

Back

The length of the midsegment would be 15 units.

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

Segments AB and AC are proportional to the lengths of the sides of triangle ABC.

Tags

CCSS.HSG.SRT.B.4