What attributes do all rectangles have in common? (Select all that apply.) Opposite sides may be of different length.

Question: What attributes do all rectangles have in common? (Select all that apply.)

Opposite sides may be of different length.

They have four sides of equal length.

They are concave polygons.

They are convex polygons.

The diagonals are perpendicular.

The diagonals are congruent.

Opposite sides are parallel.

They have four right angles.

Answer

The attributes that all rectangles have in common are:

They have four right angles. By definition, all rectangles have four internal angles that each equal 90 degrees or a right angle. Hence rectangles differ from such other quadrilaterals as squares, rhombuses and trapezoids.

Opposite sides are parallel. In a rectangle, the pairs of opposite sides are always parallel. This implies that opposite sides are never meeting and the distance between them is always equal. Rectangles have elongated shape due to their parallel sides.

They are convex polygons. A convex polygon does not have any interior angles larger than 180 degrees. A rectangle has four 90 degree angles and thus is a convex polygon. One or more of the angles in a concave polygon are greater than 180°, and they form an angle that bends toward the center rather than away.

They are polygons with four angles. A rectangle is by definition a four-sided polygon that has 4 vertices and 4 edges. For example, other features may differ such as the length of sides but rectangles will always have straight edges that are interconnected to form a closed shape.

Four main features that connect all rectangles are their four right angles, parallel opposite sides, convex shape and quadrilateral design with 4 straight sides . These unchanging characteristics are what makes the rectangle distinct from other geometric shapes.