A parallel is a square in i m sorry both pairs of opposite sides are parallel .

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A parallelogram also has the complying with properties:

opposite angles are congruent; the contrary sides space congruent; nearby angles space supplementary;

A rectangle is a parallelogram with four right angles, so every rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms room rectangles.

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A rectangle has all the properties of a parallelogram, to add the following:

The diagonals room congruent.

A rhombus is a parallel with four congruent sides. The plural of rhombus is rhombi . (I love that word.)

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A rhombus has actually all the properties of a parallelogram, add to the following:

The diagonals intersect at right angles.

A square have the right to be characterized as a rhombus i m sorry is also a rectangle – in other words, a parallelogram with four congruent sides and four appropriate angles.

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A trapezoid is a square with precisely one pair of parallel sides. (There might be some confusion about this word relying on which country you"re in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)

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an isosceles trapezoid is a trapezoid whose non-parallel sides space congruent.

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A kite is a quadrilateral with exactly two pairs of nearby congruent sides. (This an interpretation excludes rhombi. Some textbooks speak a kite contends least 2 pairs of nearby congruent sides, so a rhombus is a special situation of a kite.)

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A scalene square is a four-sided polygon that has actually no congruent sides. Three examples are displayed below.


You are watching: A quadrilateral with no square corners


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Venn diagram of Quadrilateral category

The adhering to Venn Diagram mirrors the inclusions and also intersections that the various types of quadrilaterals.