Midsegment Theorem and Coordinate Proofs

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Presentation transcript:

Midsegment Theorem and Coordinate Proofs Ch 5.1

In this section… We will look at the properties of a midsegment and use them to solve for desired distances Learn a new kind of proof

What is a midsegment? A midsegment connects 2 midpoints of a triangle together. There are 3 midsegments for each triangle. Each midsegment is parallel to one side of a triangle. The midsegment is half the length of the side of the triangle that it is parallel to.

What’s what?

Page 298 #3 – 11, 24 - 26

What is a coordinate proof? A coordinate proof uses the coordinate plane to make generalizations. We place a shape onto the coordinate system with dimensions that have variables as the coordinates. Then whatever is concluded works as a proof since it is generalized for any value.

Example Place a square on the coordinate plane find the length of its diagonal and then its midpoint. What can you conclude?

Page 298 #12 – 19, 29 - 30