midsegments of Triangles

Front

What is a midsegment of a triangle?

Back

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

Front

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

Back

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

Tags

CCSS.HSG.SRT.B.4

Front

If AC = 42, what is the length of the midsegment DF?

Back

DF = 21 (DF is half of AC).

Tags

CCSS.HSG.SRT.B.4

Front

What are the properties of midsegments in triangles?

Back

1. A midsegment is parallel to the third side. 2. The length of the midsegment is half the length of the third side.

Tags

CCSS.HSG.SRT.B.4

Front

If YW is a midsegment and its length is 10, what is the length of the side it is parallel to?

Back

The length of the side is 20 (since the midsegment is half the length of the side).

Front

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

Back

You can use the formula: Length of midsegment = (Length of side 1 + Length of side 2) / 2.

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

If a triangle has sides of lengths 12 and 16, what is the length of the midsegment connecting these sides?

Back

The length of the midsegment is 12 (half of the third side, which is 24).

Tags

CCSS.HSG.SRT.B.4

Front

What is the formula to find the length of a midsegment in a triangle?

Back

Length of midsegment = 1/2 * (Length of the third side).

Tags

CCSS.HSG.SRT.B.4

Front

If WX is a midsegment, which sides of the triangle does it connect?

Back

WX connects the midpoints of the two sides of the triangle.