Are Both Pairs of Opposite Sides Congruent in a Rectangle

Each diagonal bisects two angles of the polygon. By definition a rectangle is a parallelogram because its pairs of opposite sides are parallel.

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Both pairs of opposite sides are parallel both pairs of opposite sides are congruent all angles are 90 degrees both pairs of opposite angles.

. The sum of the interior angles of a convex polygon is. It has two pairs of parallel opposite sides. All four of its angles are congruent.

Both pairs of my opposite angles are congruent My consecutive angles are supplementary My diagonals bisect each other but my diagonals are not congruent 2. Which of the following properties proves that a parallelogram is a rectangle. The opposite sides parallel to each other.

Both pairs of opposite sides are parallel. Both pairs of opposite sides are congruent. In any trapezoid the bases are NEVER congruent Choice letter C.

What are five characteristics of a rectangle. To prove a quadrilateral is a parallelogram you must use one of these five ways. Exactly one pair of opposite sides are parallel.

-A parallelogram is a quadrilateral with 2 pairs of opposite equal and parallel sides. Four properties of a parallelogram. A square is also a parallelogram because its opposite sides are parallel.

A0 -3 B-4 0 C2 8 D6 5 - Show that both pairs of opposite sides are congruent. The sum of the measures of the interior angles of a hexagon is 360. Properties of rectangles 2 all angles are right diagonals are congruent.

On the other hand not all quadrilaterals and. A rectangle is defined with four right angles Properties of the Sides. Prove it is a Rectangle - The opposite sides are parallel and congruent.

Thereof are opposite sides of a square parallel. Opposite angles are congruent. Properties of parallelograms 6 two pairs of opposite sides opposite sides are congruent opposite angles are congruent consecutive sides are supplementary diagonals bisect each other one pair of opposite sides are congruent and parallel.

Which figure does not always have congruent diagonals. In isosceles trapezoids only the legs are congruent. - There are 4 right angles.

Consecutive angles are supplementary. Tap card to see definition. Both pairs of opposite angles congruent o F I and E H Consecutive angles are supplementary o.

Two pairs of opposite sides are of equal lengths. 2 sets of parallel sides. - The diagonals are congruent.

A rectangle is a parallelogram with four right angles so all rectangles are also parallelograms and quadrilaterals. So all the angles are congruent in a rectangle. Parallelogram has at least one rt angle.

It is a special case of a parallelogram that has four congruent sides and four right angles. Since all the angles in a rectangle are right all the angles are congruent whether they are consecutive angles or opposite angles. Click again to see term.

Prove that both pairs of opposite sides are congruent. So the diagonals are congruent. Opposite angles are congruent.

Parallelogram rhombus square rectangle. I am a parallelogram My diagonals are congruent I have all right angles 3. Opposite sides are congruent.

Square rhombus rectangle isosceles trapezoid. Because the measures. Only in rectangles are opposite sides congruent.

Its diagonals bisect each other. Diagonals bisect each other. So in both the opposite sides are congruent.

Click card to see definition. Since the question is asking if a rectangle is a parallelogram you would check to make sure all the properties of the parallelogram agree with those of a rectangle and since they all do the answer is always. FH EI and FE Both pairs of opposite sides congruent o.

Exactly 1 pair opposite sides. A square is also a rectangle because it has two sets of. - Show that both pairs of opposite sides are parallel.

In a rectangle opposite sides are equal. A parallelogram has the 2 pair of opposite congruent sides but a rectangle special case of parallelogram also has the four congruent angles. Prove that both pairs of opposite sides are parallel.

Adjacent angles are supplementary. Both pairs of opposite sides parallel. Opposite sides are congruent.

The diagonals bisect each other. 2 pairs opposite congruent sides. The sum of the exterior angles of a convex polygon is.

All four sides are congruent. FH EI and FE HI. The opposite sides are equal to each other.

By definition a rectangle is a parallelogram because its pairs of opposite sides are parallelA rectangle also has the special characteristic that all of its angles are right angles. All the angles in a rectangle is 90 degrees. Parallelogram square rectangle rhombus.

Calculate the lengths of all sides and show that both pairs of opposite sides are congruent. If the diagonals of a parallelogram are congruent then its a rectangle and also if a parallelogram contains a right angle then its a rectangle. All 4 angles are congruent.

Both pairs of opposite sides are congruent. Both pairs of opposite sides parallel. A parallelogram also has the following properties.

Rectangle Rhombu s Squar e Trapezoi d Isosceles Trapezoi d Kite 1. Which figure cannot have both pairs of opposite sides parallel. One may also ask what does opposite.

If one pair of opposite sides of a quadrilateral are parallel and congruent then the quadrilateral is a parallelogramIf both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram. In both rectangle and parallelogram. Lets look at the properties of a rectangle.

Prove that one pair of opposite sides is both congruent and parallel. It is a parallelogram and its diagonals are. By the transitive property of you have all four angles congruent.

I am a parallelogram I am a rectangle I am a rhombus I have four congruent sides My diagonals are. Parallelogram rectangle rhombus and square. Diagonals of both rectangle and parallelogram bisect each other.

It has two pairs of equal and parallel opposite sides. 1parallelogram 2rectangle 3rhombus. Proving a Quadrilateral is a Rectangle To prove a quadrilateral is a rectangle prove any of the following conditions.

Hence option 2 is correct which states that. It has two pairs of equal opposite angles. - The diagonals bisect each other.

A pair of opposite sides is both parallel and congruent. Opposite sides of a rectangle are the same length congruentThe angles of a rectangle are all congruent the same size and measure Remember that a 90 degree angle is called a right angle So a rectangle has four right angles. The diagonals of a rectangle are equal.

Both pairs opposite angles are congruent. Diagonals bisect each other. We need to consider a rectangle.

Tap again to see term. All four angles are congruent. Prove that the diagonals bisect each other.

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