8.5Rhombi and Squares
Quick Answer
A rhombus is a parallelogram with four congruent sides; its diagonals are perpendicular bisectors of each other and bisect the vertex angles. A square is both a rectangle and a rhombus.
Essential Question
How do the diagonal properties of a rhombus differ from those of a rectangle, and what makes a square the most special parallelogram?
Learning Goals
- 1Define rhombus and state its diagonal properties.
- 2Apply the rhombus diagonal theorems.
- 3Define a square as a rectangle and a rhombus.
- 4Classify quadrilaterals using a hierarchy.
Key Vocabulary
Rhombus
A parallelogram with four congruent sides.
Rhombus Diagonal Theorem
The diagonals of a rhombus are perpendicular bisectors of each other and bisect the vertex angles.
Square
A quadrilateral that is both a rectangle and a rhombus.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.