Question

If a quadrilateral has exactly 2 lines of symmetry and both are angle bisectors then which statement would be true

Answer 1

A quadrilateral with exactly 2 lines of symmetry which are angle bisectors suggests a kite or an isosceles trapezoid, fitting the description of bilateral symmetry where the object can be divided along a unique plane into two mirror-imaged halves.

Step-by-step explanation:

If a quadrilateral has exactly 2 lines of symmetry and both are angle bisectors, this likely describes a kite or an isosceles trapezoid. The definition of bilateral symmetry is relevant here because a quadrilateral with exactly 2 lines of symmetry that are also angle bisectors would have two distinct left and right sides that are mirror images of each other. This fits the description of a shape with bilateral symmetry, where a unique plane can divide the object into two symmetrical parts.

For a kite, the lines of symmetry are the diagonals of the kite where one bisects the angles where the equal sides of the kite meet, and the other bisects the angles between the unequal sides. In an isosceles trapezoid, the lines of symmetry would be the line that divides the trapezoid into two congruent triangles and the line perpendicular to the bases, passing through the midpoint of both bases.

Answer 2

If a quadrilateral has exactly 2 lines of symmetry and both are angle bisectors then the figure must be a rhombus because it has exactly 2 pairs of congruent angles.

I hope this helps! :)