A Quadrilateral With Only 1 Pair of Parallel Sides

Find the fourth angle of a quadrilateral whose angles are 90 45 and 60. Quadrilaterals that have a single pair of parallel sides are called trapezoids.

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According to some math books a trapezoid holds at least one pair of parallel sides.

. Which has only one pair of sides as parallel and the sides may not be equal to each other. A rhombus is a four-sided shape where all sides have equal length marked s. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram.

It means that this would form a parallelogram if there are two sets of parallel sides making it a special kind of a trapezoid. This test turns out to be very useful because it uses only one pair of opposite sides. Free PDF download of NCERT Solutions for Class 9 Maths Chapter 8 Exercise 81 Ex 81 and all chapter exercises at one place prepared by expert teacher as per NCERT CBSE books guidelines.

Register and get all exercise solutions in your emails. This non-adjacent pair of angles are formed on the opposite sides of the transversal. A square also fits the definition of a rectangle all angles are 90 and a rhombus all sides are equal length.

So 90 45 60. Third test for a parallelogram One pair of opposite sides are equal and parallel. If one pair of opposite sides of a quadrilateral are equal and parallel then the quadrilateral is a parallelogram.

In the above figure b the pairs of alternate interior angles are 1 and 3 2 and 4. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent. 169 For a self-crossing quadrilateral the Varignon parallelogram can degenerate to four collinear points forming a line segment traversed twice.

Hence a parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal. Class 9 Maths Chapter 8 Quadrilaterals Exercise 81 Questions with Solutions to help you to revise complete Syllabus and Score More marks. An isosceles trapezium has two parallel sides and two non-parallel sides of equal length it has only one line of symmetry along the line segment joining the midpoints of the two parallel sides.

Sum of all the interior angles of a quadrilateral 360 Let the unknown angle be x. Also opposite sides are parallel. Furthermore a rhombus holds four sides of equal length.

A trapezium is a four-sided two-dimensional shape having two of its sides parallel to each other. The Varignon parallelogram is a rectangle if and only if the diagonals of the quadrilateral are perpendicular that is if the quadrilateral is an orthodiagonal quadrilateral. They are equal in measurement if two parallel lines are cut by a transversal.

By the angle sum property we know.

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