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Quadrilateral ABCD has 2 sets of parallel sides, 4 congruent angles, and 4 congruent

sides. What are all the classifications for Quadrilateral ABCD? Mark all that apply.

Parallelogram
Rectangle
Trapezoid
Square
Kite
Rhombus

User RSinohara
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2 Answers

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Answer:

There are many special types of quadrilateral.

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel .

A parallelogram also has the following properties:

Opposite angles are congruent;

Opposite sides are congruent;

Adjacent angles are supplementary;

The diagonals bisect each other.

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

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

The diagonals are congruent.

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

A rhombus has all the properties of a parallelogram, plus the following:

The diagonals intersect at right angles.

A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles.

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

Explanation:

you should be able to find your answer in this i rlly hope it helps you

User Cool Hand Luke
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2 votes

Answer:

It can be a parallelogram, a square, a rectangle and rhombus too.

User Titus P
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