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 parallel sides?

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 the midpoints of these sides?

Back

7 (half of the third side, which is 14).

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

The length of the midsegment is equal to half the length of the side that is parallel to it.

Front

If segment AB is a midsegment of triangle XYZ, what can you say about segment XY?

Back

Segment XY is parallel to segment AB and is twice the length of segment AB.

Tags

CCSS.HSG.SRT.B.4

Front

What is the formula for finding the length of a midsegment in a triangle?

Back

Length of midsegment = 1/2 * Length of the parallel side.

Tags

CCSS.HSG.SRT.B.4

Front

In triangle ABC, if AB = 10 and AC = 14, what is the length of the midsegment connecting the midpoints of AB and AC?

Back

7 (half of the length of side BC, which is 14).

Tags

CCSS.HSG.SRT.B.4

Front

If the midsegment of a triangle is 8 units long, what is the length of the side it is parallel to?

Back

16 units (the midsegment is half the length of the parallel side).

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 triangle DEF has midsegment GH, and GH = 6, what is the length of side EF?

Back

12 units (GH is half the length of EF).

Tags

CCSS.HSG.SRT.B.4