The fallowing proofs are done in a much more analytic manner. That is to say that I didn't make constructions and use logic instead I have shown mathematically that they must be true. They are a little more involved than the others so I have also included a 4 page Word document that has all 4 theorems on it.

theorem_6.docx | |

File Size: | 75 kb |

File Type: | docx |

Theorem 6.1:

A parallelogram with two consecutive congruent sides is a rhombus.

Theorem 6.2:

A parallelogram with congruent diagonals is a rectangle.

Theorem 6.3:

A rectangle with perpendicular diagonals is a square.

Theorem 6.4:

A rhombus with one right angle is a square.

A parallelogram with two consecutive congruent sides is a rhombus.

Theorem 6.2:

A parallelogram with congruent diagonals is a rectangle.

Theorem 6.3:

A rectangle with perpendicular diagonals is a square.

Theorem 6.4:

A rhombus with one right angle is a square.