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12. Given that D and E are midpoints. Prove AE BD

12. Given that D and E are midpoints. Prove AE BD. C(0,3m). E. D. A(-m,0). B(m,0). What is the slope formula? What do you know about parallel lines? What do you know about perpendicular lines? What is the distance formula?

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12. Given that D and E are midpoints. Prove AE BD

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  1. 12. Given that D and E are midpoints. Prove AE BD C(0,3m) E D A(-m,0) B(m,0)

  2. What is the slope formula? What do you know about parallel lines? What do you know about perpendicular lines? What is the distance formula? If you don’t know the distance formula, what is another way you could figure out the length of a slanted line? What is the midpoint formula? What is the r-formula, and when do you use it? What is r in the r formula

  3. 13.8 The Use of Coordinate System in Proving Geometric Theorem

  4. Plot the points A(-2,3), B(5,1), C(0,10) • Find the slopes of the three sides of ABC • Find the lengths of the three sides of ABC • What special type of triangle is ABC if any?

  5. What formula would you need to show that a quadrilateral is a Rhombus? • What formula would you need to show that a quadrilateral is a parallelogram? • What formula would you need to prove that a quadrilateral is a trapezoid? • What formula would you need to prove that a triangle is isosceles?

  6. Use letter coordinates to represent a parallelogram and then prove the opposite sides are parallel

  7. Theorem A • The midpoint of the hypotenuse of a right triangle is equidistant from the vertices. (0,y) C ( ) D ? (x,0) A B (0,0)

  8. Theorem B • If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

  9. Pg. 435(1-3,5) Pg. 425(1e,h,9,14a)

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