Theorem

Theorem A quadrilateral is a parallelogram if and only if the diagonals bisect each other.

The diagonals bisect each other. Line segment DE is congruent to line segment EB & line segment AE is congruent to line segment EC. What am I trying to prove?

ABCD is a parallelogram What is the given information?

I have triangles. If I can prove that triangle ABE and triangle DEC are congruent then I can show that line segment DE is congruent to line segment EB & line segment AE is congruent to line segment EC because of CPCTC. First I have to show that the two triangles are congruent. What do I know?

Since I know that ABCD is a parallelogram then I can say that AB is parallel to DC. I can use the theorem about parallel lines. How do I do that?

I can say that these two triangles are congruent because of ASA. I showed all of the requirements. Because I showed that triangle ABE and triangle DEC are congruent, I can state that DE is congruent to EB & AE is congruent to EC. Thus the two diagonal bisect each other. Conclusion

Theorem

Theorem

Presentation Transcript

Pythagoras Theorem

DeMoivre's Theorem

Bayes’ Theorem

Pythagorean Theorem

Stewart’s Theorem

Superposition Theorem, Thevenin’s Theorem

Pythagorean Theorem

Divergence Theorem

Pythagorean Theorem

Pythagorean Theorem

Theorem 29

Theorem

Pythagorean Theorem :

Theorem

Factor Theorem Remainder Theorem

Pythagorean theorem

Theorem

Pythagorean Theorem

THEVENIN’S THEOREM

Pythagorean Theorem