My quadrilateral has no lines of symmetry but it does have rotation symmetry. what is it? ”

We have to identify the quadrilateral with no line of symmetry and have rotational symmetry.

Line of symmetry  is the imaginary line which divide the given quadrilateral in two equal halves.

Rotational symmetry is when an object is rotated around a center point (turned) a number of degrees and the object appear the same.

Parallelogram is a quadrilateral which has no line of symmetry as we can not draw any imaginary line which divides the parallelogram in two equal halves.

But Parallelogram has rotational symmetry as when a parallelogram is rotated around a center point (turned) a number of degrees and parallelogram appear the same.

Hence, Parallelogram is the quadrilateral.

lo.lll

step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.