Question

Quadrilateral ABCD has congruent angles and opposite sides that are congruent. What classification can be given to ABCD? (5 points)
Parallelogram
Rectangle
Rhombus
Square

Answer 1

Answer:

rectangle

Step-by-step explanation:

A rectangle must have four congruent angles that all measure 90 degrees. It must also have four sides, and the opposite sides must be congruent.

Answer 2

All angles are congruent.
The sum of the measures of the interior angles of a quadrilateral is 360.
Since all angles are congruent, then each angle must measure 360/4 = 90.
Every angle measures 90 degrees.
The quadrilateral must be a rectangle.
Is the quadrilateral also a square?
We are told "opposite sides that are congruent." Since only opposites sides are congruent, and not all sides are congruent, then it is a rectangle, but not necessarily a square.

Answer: B. rectangle