Answer:
To determine whether a quadrilateral is a rectangle, rhombus or square, you must show that it meets the definition of that shape OR that it has properties that only that shape has.
A rectangle is a quadrilateral with four right angles. Thus, all the angles in a rectangle are equal (360°/4 = 90°). Moreover, the opposite sides of a rectangle are parallel and equal, and diagonals bisect each other.
A rhombus is a quadrilateral with all sides equal in length. The opposite angles are equal in measure. The diagonals bisect each other at right angles.
A square is a quadrilateral with all sides equal in length and all angles equal to 90 degrees4.
To determine whether ▱ABCD with vertices A(−2,3), B(2,3), C(2,−1),and D(−2,−1) is a rectangle, we can check if all angles are right angles or if the diagonals of the parallelogram are congruent.
Explanation: