Question

Determine whether each quadrilateral can be a parallelogram. If not, write impossible.

a. Two adjacent angles are right angles, but the quadrilateral is not a rectangle.
b. All of the angles are congruent.

Answer 1

a. If two adjacent angles are right angles, but the quadrilateral is not a rectangle, then the quadrilateral cannot be a parallelogram. b. If all of the angles are congruent in a quadrilateral, then it can be a parallelogram.

Step-by-step explanation:

a. If two adjacent angles are right angles, but the quadrilateral is not a rectangle, then the quadrilateral cannot be a parallelogram. A parallelogram has opposite angles that are congruent, so if the quadrilateral is not a rectangle, it does not have this property.

b. If all of the angles are congruent in a quadrilateral, then it can be a parallelogram. This is because opposite angles in a parallelogram are congruent. So, if all angles in the quadrilateral are congruent, it satisfies this criteria and can be a parallelogram.