Standard
G.CO.10 Prove theorems about triangles... the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length.
Students will learn what a midsegment in a triangle is and the properties attributed to it.
If B is the midpoint of AC and D is the midpoint of CE, then
Statements
Reasons
KG is a midsegment by definition. Therefore KG || JH.
GI is a midsegment by definition. Therefore GI || FJ.
IK is a midsegment by definition. Therefore IK || FH.