A Quadrilateral With All Congruent Sides

O nep ai rof st dl congruent. Both pairs of opposite sides.

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About Angles If both pairs of opposite angles of a quadrilateral are congruent the quadrilateral is a parallelogram.

. A quadrilateral with only 2 right angles A parallelogram is a quadrilateral with 2 pair of opposite sides parallel. And for the exact same reason-- corresponding sides of congruent triangles. Diagonals bisect each other.

AD is equal to CB. And by that exact same logic AD corresponds to CB. Note for example that the angles ABD and ACD are always equal no matter what you do.

Has a right angle. It can also be defined as. The angle sum of a quadrilateral is 360 degrees.

Both pairs of opposite angles are congruent. A quadrilateral is a polygon with 4 sides. Now lets go the other way.

A square is a special rectangle that has all four sides congruent. Opposite angles are congruent As you drag any vertex in the parallelogram above note that the opposite angles are congruent equal in measure. Lets say that we have some type of a quadrilateral and we know that the opposite sides are congruent.

And then were done. The angle between these two sides could be a right angle but. 3 Both pairs of opposite sides are parallel.

Criteria proving a quadrilateral is parallelogram. Or a parallelogram containing a right angle. A diagonal of a quadrilat-eral is a line segment whose end-points are opposite vertices of the quadrilateral.

A kite has two consecutive sides congruent. Congruent 2 both pairs of opposite sides are congruent 3 Both pairs of opposite angles are congruent or 4 Its diagonals bisect each other. If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram.

The angle sum of any n-sided polygon is 180n - 2 degrees. 1 If a quadrilateral has one pair of sides that are both parallel and congruent. About Sides If both pairs of opposite sides of a quadrilateral are parallel the quadrilateral is a parallelogram.

Weve proven that opposite sides are congruent. Consecutive angles are supplementary. A rectangle is a special parallelogram that has 4 right angles.

If a quadrilateral meets any of the 5 criteria below then it must be a parallelogram. A polygon with. 2 If all opposite sides of the quadrilateral are congruent.

Convex isogonal cyclic Opposite angles and sides are congruent In Euclidean plane geometry a rectangle is a quadrilateral with four right angles. If one pair of opposite sides of a quadrilateral is both parallel and congruent then the quadrilateral is a parallelogram. Both pairs of opposite sides are parallel.

If both pairs of opposite sides of a quadrilateral are congruent the quadrilateral is a parallelogram. Both pairs of opposite sides are congruent. All the properties of a kite.

An equiangular quadrilateral since equiangular means that all of its angles are equal 3604 90. Both pairs of opposite sides are parallel2. Some trapezoids Given.

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