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 midsegment and the sides of a triangle?

Back

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

Tags

CCSS.HSG.SRT.B.4

Front

If a triangle has sides of lengths 10 and 14, what is the length of the midsegment connecting those sides?

Back

7 (half of 14).

Tags

CCSS.HSG.SRT.B.4

Front

How do you find the midpoint of a line segment?

Back

To find the midpoint, average the x-coordinates and the y-coordinates of the endpoints.

Tags

CCSS.HSG.GPE.B.6

Front

What is the formula for the length of a midsegment?

Back

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

Front

If the midsegment of a triangle is 9, what is the length of the side it is parallel to?

Back

18 (since the midsegment is half the length of the side it is parallel to).

Tags

CCSS.HSG.SRT.B.4

Front

In triangle ABC, if D and E are midpoints of AB and AC respectively, what can be said about DE?

Back

DE is parallel to BC and DE = 1/2 * 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

If the lengths of two sides of a triangle are 8 and 6, what is the maximum length of the midsegment?

Back

4 (half of the shorter side, which is 8).

Tags

CCSS.HSG.SRT.B.4

Front

What is the relationship between midsegments in a trapezoid?

Back

The midsegment of a trapezoid is parallel to the bases and its length is the average of the lengths of the bases.