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

How does the length of a midsegment compare to the length of the third side of a triangle?

Back

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

Front

If the lengths of two sides of a triangle are 10 and 14, what is the length of the midsegment connecting these two sides?

Back

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

Tags

CCSS.HSG.SRT.B.4

Front

What is the relationship between midsegments in a triangle?

Back

Midsegments are parallel to the third side of the triangle.

Tags

CCSS.HSG.SRT.B.4

Front

If a triangle has sides of lengths 8, 6, and 10, what is the length of the midsegment connecting the sides of lengths 8 and 10?

Back

5 (half of the length of the third side, which is 10).

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

In triangle ABC, if D and E are midpoints of sides AB and AC respectively, what is segment DE?

Back

Segment DE is the midsegment of triangle ABC.

Tags

CCSS.HSG.SRT.B.4

Front

If the midsegment of a triangle is 4 cm long, what is the length of the third side?

Back

8 cm (since the midsegment is half the length of the third side).

Tags

CCSS.HSG.SRT.B.4

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles when drawn in a triangle.

Tags

CCSS.HSG.SRT.B.4

Front

If a midsegment is parallel to one side of a triangle, what can be said about the triangles formed?

Back

The triangles formed are similar by the Basic Proportionality Theorem.

Tags

CCSS.HSG.SRT.B.4