Question

which type of quadrilateral has diagonals that will always divide it into four congruent triangles? rhombus trapezoid rectangle isosceles trapezoid

Explanation:

A rhombus has all sides equal, and its diagonals bisect each other at right angles, creating four triangles with equal side lengths (via the properties of rhombus diagonals: they bisect each other and are perpendicular, so all four triangles have two sides equal to half the diagonals and a right angle, making them congruent by SAS congruence). A trapezoid, rectangle, and isosceles trapezoid do not form four congruent triangles with their diagonals: rectangles form four triangles of two congruent pairs, while trapezoids and isosceles trapezoids have non-congruent triangles from their diagonals.

Answer:

rhombus