Midsegments Objective: Students will understand and apply properties of midsegments in triangles and trapezoids.

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Presentation transcript:

Midsegments Objective: Students will understand and apply properties of midsegments in triangles and trapezoids.

Midsegment What is it? Connects 2 midpoints of the sides (legs) How many does a triangle have? 3 How many does a trapezoid have? 1

Midsegment in a Triangle What is special about midsegments in Triangles? Midsegment bisects sides (midpoint) Midsegment parallel to side it doesn’t touch Corresponding angles Midsegment half the length of the side it doesn’t touch

Congruent Triangles Prove the 4 triangles formed are congruent

Example

Example 2

Example 3

Trapezoid Midsegment Trapezoid is part of a triangle Midsegment is parallel to both bases Midsegment bisects both legs Midsegment is average of both bases (b1+b2)/2

Example

Homework Pg 277 1-8 Honors 10