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Q: Quadrilateral ABCD is a parrallelogram Is side AB equal to side CD?

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If the quadrilateral is a square then all of its sides are the same length. ac is not one of the sides but is a diagonal which forms the hypotenuse of a right angle triangle with sides ab and bc. According to Pythagoras the sum of the square of the hypotenuse is equal to the sum of the squares of the other two sides. As side ab measures 10 then 10 squared = 100. Side bc has the same measurements. The square of side ac must equal 200 (100 + 100) so the length of side ac must equal the square root of 200 (100 + 100) which is 14.14 (to 2 decimal places).

The perimeter of a quadrilateral is 'side + side + side + side = perimeter'. If the quadrilateral is a square, you can simplify this to 'side x 4 = perimeter'.

rectangle,square and parallelogram in general.

There is no particular name for such a shape.

A rectangle

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A quadrilateral is a parallelogram if one pair of opposite sides are equal and parallel Let ABCD be a quadrilateral in which ABCD and AB=CD, where means parallel to. Construct line AC and create triangles ABC and ADC. Now, in triangles ABC and ADC, AB=CD (given) AC = AC (common side) Angle BAC=Angle ACD (corresponding parts of corresponding triangles or CPCTC) Triangle ABC is congruent to triangle CDA by Side Angle Side Angle BCA =Angle DAC by CPCTC And since these are alternate angles, ADBC. Thus in the quadrilateral ABCD, ABCD and ADBC. We conclude ABCD is a parallelogram. var content_characters_counter = '1032';

What is ABCD? It is a quadrilateral, but what it is? What is 3x - 7? A side, a perimeter, or what else? Please, give me some additional information in order to be able to solve this problem.

A quadrilateral. It may be a rectangle, parallelogram, trapezoid, or an irregular quadrilateral.

a trapezoid that is NOT isosceles

trapezoid

A rhombus.

A general quadrilateral has no equal sides, but it also has no specific name. Among quadrilaterals with a name, a trapezium (unless it is isosceles) can have no equal sides.

No, a quadrilateral must have 4 sides. If it is a proper quadrilateral it must have 4 sides of equal length but if it is an irregular quadrilateral it must have 4 sides but not have equal sides. An example of a quadrilateral could be a square. A pentagon on the other side must have 5 sides.

It is a rectangle

If the quadrilateral is a square then all of its sides are the same length. ac is not one of the sides but is a diagonal which forms the hypotenuse of a right angle triangle with sides ab and bc. According to Pythagoras the sum of the square of the hypotenuse is equal to the sum of the squares of the other two sides. As side ab measures 10 then 10 squared = 100. Side bc has the same measurements. The square of side ac must equal 200 (100 + 100) so the length of side ac must equal the square root of 200 (100 + 100) which is 14.14 (to 2 decimal places).

square