Question 543003
yes, the diagonals of a rhombus are perpendicular; but not all rhombuses are squares


the four congruent isosceles right triangles all have the same hypotenuse, so the quadrilateral formed is a rhombus


the base angles of four congruent isosceles right triangles are all 45º, so when two are adjacent (to form a corner)
___ the corner is a right angle - making the rhombus a square