Question

Define:

a. A quadrilateral with all sides congruent.
b. A quadrilateral in which the diagonals bisect each other.
c. A quadrilateral in which the diagonals are congruent.
d. A quadrilateral in which adjacent angles add up to 180 degrees.

Answer 1

A square has all sides congruent, a parallelogram has diagonals that bisect each other, a rhombus has diagonals that are congruent, and a trapezoid has adjacent angles that add up to 180 degrees.

Step-by-step explanation:

a. A quadrilateral with all sides congruent is called a square. In a square, all four sides are equal in length.

b. A quadrilateral in which the diagonals bisect each other is called a parallelogram. The diagonals of a parallelogram divide each other into equal parts.

c. A quadrilateral in which the diagonals are congruent is called a rhombs . In a rhombus, the diagonals are also equal in length.

d. A quadrilateral in which adjacent angles add up to 180 degrees is called a trapezoid. In a trapezoid, one pair of opposite sides are parallel, and the other pair are not.