Which quadrilateral will always have 4-fold reflectional symmetry

A quadrilateral is a 2-dimensional closed figure having 4 sides of straight lines. The quadrilateral has four sides, four vertices, and the sum of all four interior angles is 360 degrees.

The types of a quadrilateral are:

The quadrilateral having 4-fold reflectional symmetry is SQUARE.

Reason:

The square can be folded into halves either the fold over the vertical lines or the fold over the horizontal lines or the fold-over of either of the diagonals.

The crease of the fold in the square will always create a reflectional symmetry.

To know more about quadrilateral, refer to the link:

link

Square

Square can be folded in half:

- over the vertical line

-over the horizontal line

-over either diagonal (2 diagonals)

So the square has 4 lines of symetry

Rectangle  2 lines

Trapezoid  1 line

Parallelogram   no lines

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step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180