Quadrilaterals
Compare side and angle conditions and explain inclusion between classes.
Meaning
Quadrilaterals are enclosed by four segments and classified by parallelism, lengths, and angles. Parallelograms have two parallel opposite-side pairs; rectangles have four right angles; rhombuses have four equal sides.
Example
A square has both four right angles and four equal sides, so it is a rectangle and a rhombus. A shape may belong to several classes. Equal side lengths do not guarantee right angles. For names with differing conventions, such as trapezoid, check the definition being used.
Practice for this concept
Scope and references
Topics
Trapezoids, parallelograms, rectangles, rhombuses, squares
Learning goal
Compare side and angle conditions and explain inclusion between classes.
Helpful background
Compare side lengths and parallel/perpendicular conditions.
Quadrilaterals
These choice exercises use stated geometric conditions. They do not establish construction, drawing, spatial manipulation, written proof, or mastery of the whole geometry area.