A parallelogram is a square in which both bag of opposite sides room parallel .
A parallelogram likewise has the complying with properties:
the contrary angles space congruent; the opposite sides space congruent; surrounding angles space supplementary;A rectangle is a parallel with four right angles, so all rectangles are additionally parallelograms and also quadrilaterals. Top top the other hand, no all quadrilaterals and also parallelograms are rectangles.
A rectangle has all the nature of a parallelogram, add to the following:
The diagonals are congruent.
A rhombus is a parallel with 4 congruent sides. The many of rhombus is rhombi . (I love the word.)
A rhombus has actually all the nature of a parallelogram, to add the following:
The diagonals intersect at appropriate angles.A square can be identified as a rhombus which is likewise a rectangle – in other words, a parallelogram with four congruent sides and four ideal angles.
A trapezoid is a quadrilateral with precisely one pair of parallel sides. (There may be part confusion around this word relying on which nation you"re in. In India and Britain, they speak trapezium ; in America, trapezium usually way a quadrilateral through no parallel sides.)
an isosceles trapezoid is a trapezoid whose non-parallel sides room congruent.
A kite is a square with precisely two pairs of adjacent congruent sides. (This meaning excludes rhombi. Some textbooks speak a kite contends least two pairs of adjacent congruent sides, so a rhombus is a special situation of a kite.)
A scalene quadrilateral is a four-sided polygon that has no congruent sides. Three instances are presented below.
You are watching: If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram
See more: What Does My Candle Burns At Both Ends Meaning, Burning My Candle At Both Ends
Venn diagram of Quadrilateral category
The adhering to Venn Diagram mirrors the inclusions and intersections the the various types of quadrilaterals.