Quadrilaterals Theorems
Terms
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- Theorem 7.1
- If a quadrilateral is a parallelogram, then its opposite sides are congruent.
- Theorem 7.12
- A parallelogram is a rectangle if and only if its diagonals are congruent.
- Theorem 7.3
- If a quadrilateral is a parallelogram, then its consecutive angles are supplementary
- Theorem 7.10
- A parallelogram is a rhombus if and only if its diagonals are perpendicular.
- Theorem 7.5
- Converse of 7.1
- Theorem 7.8
- Converse of 7.4
- Theorem 7.7
- Converse of 7.3
- Theorem 7.6
- Converse of 7.2
- Theorem 7.9
- If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram.
- Theorem 7.4
- If a quadrilateral is a parallelogram, then its diagonals bisect each other.
- Theorem 7.11
- A quadrilateral is a rhombus if and only if each diagonal bisects a pair of opposite angles.
- Theorem 7.2
- If a quadrilateral is a parallelogram, then its opposite angles are congruent.
- Theorem 7.13
- A parallelogram is a square if and only if its diagonals are both perpendicular and congruent.