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Quadrilateral abcd is a parallelogram is side ab equal to side CD?

always


E is the midpoint of ab and db is a diagonal of parallelogram abcd what is the ratio of areas of triangle Δabd to parallelogram abcd?

Either diagonal of a parallelogram divides the parallelogram into two triangles of equal areas. Thus area of triangle abd = half that of the parallelogram abcd. The required ratio is 1 / 2.


Abcd is a parallelogram ab equals bc and angle abc equals 90 degree explain why abcd is a square?

Opposite sides of a parallelogram are equal. So ab = dc and ad = bc. But you are also told that ab = bc. So all four sides are equal. Opposite angles of a parallelogram are equal. So abc =90 degrees implies that cda is 90 degrees. The remaining two angles add up to 360 - (abc + cda) = 180 degrees and both are equal. So they, too , must be 90 degrees each. So all four angles are equal. A parallelogram with four equal sides and four equal angles is called a square.


In the given truss bridge parallelogram ABCD and PQRS are congruent if AB 24 feet what is PQ?

In the given truss bridge parallelogram ABCD and PQRS are congruent if AB 24 feet what is PQ?


What is the perimeter of parallelogram ABCD?

Assuming ABCD marks the four corners, the perimeter = sum of the four sides = (AB + BC + CD + DA) where AB == the side from A to B etc.


What is the perimeter of parallelogram abcd with ad equals 10 units ab equals 8 units ac equals 12 units ed equals 4.5 units?

If abcd is a parallelogram, then the lengths ab and ad are sufficient. The perimeter is 36 units.


Abcd is a parallelogram If ad is 10 units and ab is 8 units what is the measure of bc?

6


If one pair of sides of a quadrilateral is parallel and congruent then the quadrilateral is a parallelogram?

== == yes. suppose the quad ABCD has AB and CD equal and parallel. Then the triangles ABC and CDA are congruent by SAS axiom; so the quad is a parallelogram


In the parallelogram ABCD name three pairs of congruent angles and three pairs of congruent sides?

If the parallelogram is a square then angle A is congruent to angle B ,is congruent to angle C. AB is congruent to BC is congruent to CD.


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';


Given quadrilateral ABCD with diagonals AC and BD angle 1 is congruent to angle 2 and segment BD bisects segment AC at A prove ABCD is a parallelogram Can someone help me prove this?

To prove that quadrilateral ABCD is a parallelogram, we can use the properties of the angles and the bisected segment. Since angle 1 is congruent to angle 2 and BD bisects segment AC at point A, it follows that triangle ABD is congruent to triangle CDB by the Angle-Side-Angle (ASA) criterion. This congruence implies that sides AB and CD are equal and sides AD and BC are equal, which are the defining properties of a parallelogram. Therefore, quadrilateral ABCD must be a parallelogram.


Ef is a median of isosceles trapezoid abcd ab is equal to ef?

sometimes