Objectives
Students will:
- Prove that if a parallelogram has two consecutive sides congruent, it is a rhombus.
- Prove that a parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles.
- Prove that a parallelogram is a rhombus if and only if the diagonals are perpendicular.
Skills Needed
Students must be able to:
- Know triangle properties, theorems, and postulates.
- Know properties of parallel lines intersected by transversals.
- Understand parallelograms and their properties.
- Understand the basics of constructing geometric proofs.
