Question

if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true? the figure must be an isosceles trapezoid because it has 2 congruent base angles. the figure must be a rectangle because all rectangles have exactly 2 lines of symmetry. the figure could be a rhombus because the 2 lines of symmetry bisect the angles. the figure could be a square because the diagonals of a square bisect the right angles.

Explanation:

1. Analyze each option:

• An isosceles trapezoid has 1 line of symmetry, so the first option is incorrect.
• A rectangle has 2 lines of symmetry, but its lines of symmetry are not angle - bisectors in all cases, so the second option is incorrect.
• A rhombus has 2 lines of symmetry which are its diagonals, and the diagonals of a rhombus are angle - bisectors.
• A square has 4 lines of symmetry, so the fourth option is incorrect.

Answer:

The figure could be a rhombus because the 2 lines of symmetry bisect the angles.