Chapter Five:  
Relationships Within Triangles

Geometry   Notes

Chapter  5

Section  5.1
Section  5.2
Section  5.3
Section  5.4
Section  5.5

Geometry Contents

Take notes on the following topics.

Vocabulary

Midsegment of a triangle (p. 243) The midsegment of a triangle is the segment that joins the midpoints of two sides of the triangle.

Coordinate proof (p. 244) A proof is a convincing argument that uses deductive reasoning. A proof can be written in many forms.  In a coordinate proof, a figure is drawn on a coordinate plane and the formulas for slope, midpoint, and distance are used to prove properties of the figure.

Theorem 5-1  Triangle Midsegment Theorem

If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side, and the length of the segment is half the length of the third side.