In the given truss bridge parallelogram ABCD and PQRS are congruent if AB 24 feet what is PQ?
sometimes
7x
12
The answer will depend on which two sides are bisected by E and F.
always
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.
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?
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.
If abcd is a parallelogram, then the lengths ab and ad are sufficient. The perimeter is 36 units.
6
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.
== == 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
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';
sometimes
sometimes