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What is the name of a quadrilateral with two pairs of parallel sides and one right angle?
A rectangle. Any quadrilaterial with two pairs of parallel sides is a parallelogram. And each side will be the same dimension as its opposite. It must be if there are two pairs of parallel sides. And if one interior angle is right, then all the interior angles are right angles. You may have a square, but it is only a special case of a rectangle, which you must have if your figure is constructed with the given constraints.
What shape has 4 sides with opposite sides equal in length and 3 of the 4 angles are right angles?
If three of the angles of a quadrilateral are right angles, then the fourth angle must also be a right angle. The sum of the interior angles of any two-dimensional (planar) geometric figure must add up to 360 degrees. As this is the case, three times 90 equals 270, and 270 subtracted from 360 leaves 90. The quadrilateral described here is a rectangle. If all the sides are the same length, it is a special case of a rectangle that we call a square.
Can you draw a quadrilateral that has three right angles?
The sum of the interior angles of a quadrilateral is 360 degrees. If three of the angles are right angles, that is, of 90 degrees each, the the fourth must be 90 degrees. So you can have a quadrilateral with three right angles but its fourth angle will also be a right angle. So exactly 3 right angles is not possible.
What is a parallelogram with 1 right angle?
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).
How are rectangles and trapezoids different?
A rectangle must have two (2) pairs of parallel sides, a trapezoid only needs one (1). A rectangle is a quadrilateral with 4 right angles, a trapezoid is a quadrilateral with 1 pair of opposite parallel sides.
A quadrilateral with one right angle must be a rectangle true or false?
FALSE because a rectangle has 4 right angles.
Which quadrilateral always have a 90-degree angles?
The only quadrilaterals that always have all four right angles are the square and the rectangle. All four angles in a quadrilateral must add up to 360 degrees.It is possible to have non-regular quadrilaterals with one or two right angles. A quadrilateral with three right angles becomes either a square or a rectangle, because its fourth angle must also be a right angle.
How would you determine if a rectangle has a 90 degree right angle?
By definitions: two levels of them. If it is has a right angle, it must be 90 degrees. If it is a rectangle it must have right angles, otherwise it is not a rectangle.
Which quadrilateral must have four congruent angles?
A rectangle and a square are two types of quadrilaterals having four equal angles, where each of them equals a right angle.
Can a quadrilateral be a parallelogram is the diagonals are congruent but the quadrilateral has no right angles?
No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).
Which of these figures must be a rectangle?
A parallelogram with at least one right angle
What does a trapezoid with three right angles look like?
A trapezoid can't have three right angles. A quadrilateral with three right angles must have a total of four right angles, since a quadrilateral's interior angles add up to 360. 360 - (3*90) = 90, so the fourth angle would have to be right as well. A quadrilateral with four right angles is not a trapezoid; instead it is a rectangle or a square.
Which quadrilateral must have diagonals that are congruent and perpendicular?
The quadrilateral that must have diagonals that are congruent and perpendicular is the square. This is because its diagonals form a right angle at its center.
What shapes must contain a right angle?
Here's a list of shapes that need a right angle: square rectangle right triangle
What is the name of a quadrilateral with two pairs of parallel sides and one right angle?
A rectangle. Any quadrilaterial with two pairs of parallel sides is a parallelogram. And each side will be the same dimension as its opposite. It must be if there are two pairs of parallel sides. And if one interior angle is right, then all the interior angles are right angles. You may have a square, but it is only a special case of a rectangle, which you must have if your figure is constructed with the given constraints.
Can a quadrilateral have three acute angles and one right angle?
No, a quadrilateral can't have three acute angles and one right angle. The angles of a quadrilateral must total 360. The three other angles of a quadrilateral with one right angle would then have to total 270 degrees. If all three were acute (less than 90 degrees), they could not total 270.
If a parallelogram has a right angle then it is a rectangle?
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.
