Yes. This is true because opposite angles are congruent and adjacent angles are supplementary.
Definition I was taught: "A rectangle is a parallelogram with one right angle" Sounds weird but when you think it out, having one right angle in a parallelogram means the other three must be right as well.
No because it could be a right angled trapezoid. A rectangle must have four right angles. Yes, a parallelogram with a right angle is always a rectangle. In fact, in my geometry book, some 55 years ago such was the definition of rectangle. A parallelogram with one right angle will always have four right angles. The right angled trapezoids that are not rectangles are not parallelograms.
FALSE because a rectangle has 4 right angles.
A parallelogram with at least one right angle
For angle L, the adjacent angle o, and its opposite angle M, are both 158 degrees. (it's a rhomboid) In a parallelogram, adjacent angles total 180 degrees (they are supplementary), since the opposite angles must be the same and there are two of each.
No parallelogram can have only one right angle. The consecutive angles of a parallelogram must be supplementary, meaning they must add up to 180. 180-90=90, so all the angles must be right angles.
A parallelogram cannot have just one right angle. If it has one, all four of its angles must be right angles and so it must be a rectangle (or, as a special case, a square).
A parallelogram can have either zero or four right angles. If a parallelogram has one right angle, all four angles must be right angles due to the properties of parallel lines and congruent opposite angles. However, a general parallelogram does not necessarily have any right angles.
Yes, it is possible for a parallelogram to have two right angles. In fact, if a parallelogram has one right angle, all four angles must be right angles due to the properties of parallel lines and transversals. This means that such a parallelogram is actually a rectangle. Thus, a parallelogram with two right angles is a special case of a rectangle.
Every parallelogram has 4 sides.If it has 4 right angles, then it's a rectangle.(Actually, a parallelogram with one right angle must be a rectangle.)
Yes, a rectangle is a specific type of parallelogram characterized by having all four angles as right angles (90 degrees). Since a parallelogram only requires opposite angles to be equal and consecutive angles to be supplementary, having one right angle means the other angles must also be right angles. Therefore, while all rectangles are parallelograms, not all parallelograms are rectangles.
Definition I was taught: "A rectangle is a parallelogram with one right angle" Sounds weird but when you think it out, having one right angle in a parallelogram means the other three must be right as well.
No because it could be a right angled trapezoid. A rectangle must have four right angles. Yes, a parallelogram with a right angle is always a rectangle. In fact, in my geometry book, some 55 years ago such was the definition of rectangle. A parallelogram with one right angle will always have four right angles. The right angled trapezoids that are not rectangles are not parallelograms.
FALSE because a rectangle has 4 right angles.
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.
No, a paralleogram that has even one right angle must have all right angles in order to keep the opposite sides parallel. So, a parallelogram will have either no right angles (in which case it will always have 2 acute angles and two obtuse angles) or it will have 4 right angles (in which case it will be called a square or a rectangle, and will obviously have no acute or obtuse angles).
It is not a requirement that any of the angles are right angles (90 degrees), to qualify as a parallelogram.