4 right angles
rectangle
Yes, a rectangle can be a parallelogram. A rectangle is a type of parallelogram with all angles equal to 90 degrees. Additionally, opposite sides of a rectangle are equal in length. Therefore, all rectangles meet the definition of a parallelogram, but not all parallelograms are rectangles.
Yes, a parallelogram inscribed in a circle must be a rectangle. This is because a circle's inscribed angle theorem states that the opposite angles of a cyclic quadrilateral (a quadrilateral inscribed in a circle) must be supplementary. In a parallelogram, opposite angles are equal, which can only hold true if all angles are right angles, thus making the parallelogram a rectangle.
parallelogram or rectangle
Yes, every rectangle is a parallelogram. Parallelograms are defined as a shape with opposite, but parallel sides. A rectangle is defined as a shape with 90 degree angles, 2 sets of parallel sides, and the opposite sides must be equal in length. Because the sides of any rectangle are parallel, any qualified rectangle is a parallelogram.
rectangle
rectangle
true
If a parallelogram is inscribed in a circle then it must be a cyclic quadrilateral.
Yes, a rectangle can be a parallelogram. A rectangle is a type of parallelogram with all angles equal to 90 degrees. Additionally, opposite sides of a rectangle are equal in length. Therefore, all rectangles meet the definition of a parallelogram, but not all parallelograms are rectangles.
It is a rectangle
No, since all rectangles must be parallelograms.
Yes, a parallelogram inscribed in a circle must be a rectangle. This is because a circle's inscribed angle theorem states that the opposite angles of a cyclic quadrilateral (a quadrilateral inscribed in a circle) must be supplementary. In a parallelogram, opposite angles are equal, which can only hold true if all angles are right angles, thus making the parallelogram a rectangle.
A rectangle, possibly a square. Can you see why a parallelogram must be a rectangle if any one of its angles is right?
parallelogram or rectangle
A parallelogram with at least one right angle
rectangle