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It is not possible to prove it because it is not true!

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Q: If ABCD is a parallelogram in which AB is parallel to CD prove that angle A equals angle B?
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What are the proofs that a quadrilateral ia s parallelogram?

There are 5 ways to prove a Quadrilateral is a Parallelogram. -Prove both pairs of opposite sides congruent -Prove both pairs of opposite sides parallel -Prove one pair of opposite sides both congruent and parallel -Prove both pairs of opposite angles are congruent -Prove that the diagonals bisect each other


How can i prove that a parallelogram is a parallelogram when you are given opposite sides are congruent?

If two opposite sides are congruent in length and direction then they are parallel sides. THat would mean the other two sides are congruent making 4 parallel sides or a parallelogram


What IS Special About corresponding angles?

Corresponding angle are used to prove if lines are parallel. If they are congruent then the lines cut by the transferal are parallel.


A quadrilateral is a parallelogram if a pair of opposite sides is equal and parallel prove?

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';


Is a rectangle a parallelogarm?

Yes, a rectangle is a special kind of parallelogram - one that has a right angle. (You can prove that if it has one right angle all angles are right.)


A rectangle is a parallelogram with a right interior angle?

Yes, that is what is rectangle is. One can prove that all of the angles are right angles.


Why are opposite angles in a parallelogram equal?

Opposite angles of quadrilaterals in general can vary over quite a range of degrees. In order for a quadrilateral to be a parallelogram, two sets of parallel lines intersect. Imagine a parallelogram resting on its base. Focus on one of the base interior angles. Now flip the parallelogram so that its top is now the base. The shapes will be completely congruent, both in angle size and lengths of sides. Parallelogram is simply a special class of quadrilateral, and this property is part of how parallelograms are defined. Alternative Answer: It is rather difficult to prove a geometric proposition while working within the limitations of this browser! But here goes: Call the parallelogram is ABCD with AB parallel to DC horizontal, and AD parallel to BC. Consider AD and BC which are parallel, with transversal DC. Then the interior angles on the same side are supplementary. That is, angles ADC and DCB are supplementary. Now consider AB and DC which are parallel, with transversal AD. Then the interior anlges on the same side are supplementary. That is, angles BAD and ADC are supplementary. So in the above two paragraphs we have shown that angles ADC + DCB = BAD + ADC therefore angle DCB = angle BAD [subtracting angle ADC from both sides] that is, one pair of opposite angles are equal. You can prove the other pair is equal either by the fact that they are supplementary to these, or by the symmetry of the argument.


Prove that the sum of the measures of the three angles of every triangle is 180 degrees?

Angle a plus angle b subtract from 180 equals angle c


Describe the methods to prove that a quadrilateral is a rectangle?

you can prove any one of these statements to prove that quadrilateral is a rectangle: -- Opposite sides are parallel and any one angle is a right angle. -- Opposite sides are equal and any one angle is a right angle. -- All four angles are right angles. -- Adjacent angles are complementary, and one of them is a right angle. -- Opposite sides are either equal or parallel, and area is equal to the product of two adjacent sides. -- Diagonals are equal.


To prove that two lines cut by a transveral are parallel on must show that?

You can show that two lines cut by a transversal are parallel in a number of ways. (1) Show that the consecutive interior angles are supplementary. Let's say your lines are arranged like this (ignore the periods, they're just there so the spacing is right): ......................1 | 2 --------------------|----------------------- .......................8| 3 .........................| ......................7 | 4 --------------------|----------------------- ......................6 | 5 If the lines are parallel, the measures of all the consecutive interior angles should be supplementary. The following should be true: Angle 8 + Angle 3 = 180 degrees Angle 3 + Angle 4 = 180 degrees Angle 4 + Angle 7 = 180 degrees and Angle 7 + Angle 8 = 180 degrees (2) You can also prove that the lines are parallel by showing that the corresponding angles are congruent. Using the line arrangement above, prove any of the following to be true: Angle 1 = Angle 7 Angle 2 = Angle 4 Angle 3 = Angle 5 or Angle 8 = Angle 6 (3) Finally, you can use alternate angles (either interior or exterior). To use alternate interior angles, prove that: Angle 3 = Angle 7 or Angle 4 = Angle 8 To use alternate exterior angles, prove that: Angle 1 = Angle 5 or Angle 2 = Angle 6 Well, there you have it! Best of luck!


How can you used a triangle to prove quadrilateral is a parallelogram?

A quadrilateral, in general, is not a parallelogram. If it is a parallelogram then you will have some additional information about its sides and angles. If you do not have such information it is not possible to prove that it is a parallelogram. Draw a diagonal which will divide the quadrilateral into two triangles and use the additional information that you have to show that the triangles are congruent. This can then be used to show equality of sides or of angles: the latter can then be used to show that sides are parallel. Note that the choice of which diagonal may influence how (if at all) you proceed.


Prove that if the diagonal of a parallelogram does not bisect the angles through the vertices to which the diagonal is drawn the parallelogram is not a rhombus?

Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.

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