Lesson 14A Exit G1 Midsegments of Triangles

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

If a midsegment is parallel to one side of a triangle, what is the relationship between their lengths?

Back

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

Front

Given a triangle with sides of lengths 10, 14, and 18, what is the length of the midsegment connecting the sides of lengths 10 and 14?

Back

The length of the midsegment is 7.

Front

If the midsegment of a triangle is 12 inches long, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 24 inches.

Front

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

Back

The length of a midsegment = (length of the side it is parallel to) / 2.

Front

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

Back

The length of DF is 21.

Front

In a triangle, if one side measures 28 and the midsegment measures 14, what can be inferred?

Back

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

Front

What is the significance of midsegments in triangle geometry?

Back

Midsegments help in understanding triangle properties and relationships between sides.

Front

If the midsegment of a triangle is represented as (x + 4), how do you find x if the midsegment length is known?

Back

Set (x + 4) equal to the known length and solve for x.

Front

What is the relationship between the lengths of the midsegment and the opposite side in a scalene triangle?

Back

The midsegment length is always half the length of the side it is parallel to, regardless of the triangle type.