Practice with Midsegment of a triangle

Front

What is a midsegment of a triangle?

Back

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

Front

What is the property of midsegments in 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 these sides?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

How do you find the midpoint of a segment?

Back

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

Tags

CCSS.HSG.GPE.B.6

Front

If segment AB is 12 units long, what is the length of the midsegment connecting the midpoints of segments AC and BC?

Back

6 units (half of 12).

Tags

CCSS.HSG.SRT.B.4

Front

What is the relationship between the angles formed by a midsegment and the angles of the triangle?

Back

The angles formed by the midsegment are equal to the angles of the triangle.

Tags

CCSS.HSG.CO.C.10

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 side it is parallel to).

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 ABC has midsegment DE, what can be said about triangles ABC and ADE?

Back

Triangles ABC and ADE are similar by the Midsegment Theorem.

Tags

CCSS.HSG.SRT.B.4

Front

How can you determine if two segments are midsegments?

Back

Two segments are midsegments if they connect the midpoints of two sides of a triangle and are parallel to the third side.