All rectangles have four equal angles and opposite sides of. In euclidean plane geometry a rectangle is a quadrilateral with four right angles.

Quadrilaterals Anchor Chart For Interactive Notebooks And Posters

What shapes can be a rectangle.

Are all rhombuses rectangles. Thus all rhombuses are not rectangles. Rhombuses are parallelograms with 4 equal sides while rectangles are parallelograms where all the angles are right. A quadrilateral is a rectangle if and only if it has four right angles.

A rhombus has all 4 sides of equal length. A rhombus has opposite angles equal but they do not need to be 90o. A rectangle has all angles equal to 90o.

A quadrilateral is a rhombus if and only if it has four congruent sides. The square has the following properties. Rhombuses that are also rectangles are called squares.

All the properties of a rhombus apply the ones that matter here are parallel sides diagonals are perpendicular bisectors of each other and diagonals bisect the angles. A rhombus has all 4 sides of equal length. Thus all rhombuses are not rectangles.

All angles are right angles by definition. All rectangles have four equal angles and opposite sides of equal length all four sides need not be the same length. Equal length all four sides need not be the same length.

So yes all squares are rhombuses but not all rhombuses are squares. The diagonals are congruent.