Are adjacent sides of a rectangle congruent always, sometimes, or never?
611309
Adjacent sides of a rectangle...those are the sides that are at 90 degree angles of one another.  Sometimes, such as in squares, they are congruent.  They are not always congruent.  So, there's your answer, sometimes.
170229
Well, a rectangle is not a triangle it is a parallelogram, I think. It has four right angles and two long sided and two short sides. Therefore, the dimensions are as follows: To figure area it is short side * long side. To figure how long all sides are you simply do two short sides plus two long sides. However, I am assuming that this was trick question to see who is paying attention to what a rectangle is.
1112455
You might be thinking of a Reuleaux (or Rouleaux) triangle, but it has rounded sides, not rounded corners.
190151
1.  When two lines cross, pairs of vertical angles are congruent.\n\n2. If two parallel lines are cut by a transbersal, alternate interior angles formed are congruent.\n\n3. If two parallel lines are cut by a transbersal, alternate exterior angles formed are congruent.\n\n4. If two parallel lines are cut by a transbersal, corresponding angles formed are congruent.\n\n5.  Opposite angles of a parallelogram are congruent.\n\n6. Base angles of an isosceles triangle or trapezoid are congruent.\n\n7. Perpendicular lines meet to form congruent angles.\n\n8.  If two angles are both congruent to a third angle, they are congruent to each other.\n\n9.  A pair of right angles are congruent. \n\n10.  Any two angles of an equilateral triangle are congruent.\n\nThere are more but most are variations of the above.
375748
All squares are rectangles,\nall parallelograms are quadrilaterls\nand all squares are parallelograms
179545
Wow, that last person used way too much stuff.\n\nDraw in one diagonal of parallelogram ABCD, say BD.  You have congruent angles ABD and BDC, ADB and DBC because they are alternate interior angles and BD is congruent to itself.  The two triangles are congruent (ASA) which makes the parts you want congruent by CPCTC.
624413
yep\n\n*** Edit - for you idiot types, if a quadrangle has four sides that are not congruent, then it is NOT a square. A square has 4 right angles and 4 sides of equal length, ALWAYS.
669147
number of sides, congurency?, size of angles, distinguishing characteristics
414775
Not all Parallelograms are rectangles, But all rectangles are parallelograms.
953424
Yes. Right triangles have them all the time. it's called the orthocenter i think....it's been a while since Geometry.
846631
Construct meaning with a compass and straightedge? And by "adjacent" they're already at right angles? Just measure each side with the compass, move it so one leg is at the other corner, and draw a small arc approximately where the other leg extends. Do this for both sides, then the point of intersection is your missing point, and you can draw out the rectangle with the straightedge.\n\nIf the sides are not at 90 degrees, just turn one of them (measure one with the compass, draw a circle based on it, then take the two points of intersection and construct the perpendicular bisector, then take the point where that intersects....)
703405
If you connect the opposing corners of a parallelogram you make two triangles, thus the area of the triangle is always half that of the parallelogram. Conversely, the area of a parallelogram is always double that of the triangle.
1037990
All these answers are wrong.\n\nTheres always two sides to an object, person place or thing. study it you will figure it out.
749245
For indirect proofs you start with the opposite of the conclusion.\nIn this case, you take the opposite of "the angles opposite those sides are not congruent" and make it "the angles opposite those sides are congruent".  Therefore, two sides of a triangle are congruent since if the base angles are congruent, the sides are congruent.  Then you state it's a contradiction because it contradicts the given fact that the two sides of a triangle are not congruent.  Then you just say therefore, our assumption is incorrect and the angles opposite those sides are not congruent.
60892
A rectangle...equillateral means all equal sides, equiangular means all equal angles\n\nthe rectangle has all equal angles, 90 degress but teh sides are different, if the sides were the same it woudl be a square\n\na rhombus has equal sides but not necessarily equal angles\n\na parallelogram does not have to have equal angles or equal sides, it needs to have to sets of equal opposite angles and equal opposite sides\n\nhope this helps!!
50248
Yes the triangles are congruent. observing that in triangles ABD and CBD, \nAD = CD given,\nBD = BD common to both triangles,\nSince <ABD = <CBD, finding <BAD and <BCD,\nIn triangle ABD,\nBD/SinBAD = AD/SinABD  using sin rule\nHence SinBAD = (BDSinABD)/AD\ntherefore <BAD  = Sin inverse of ((BDSinABD)/AD)...equ1\nSimilarly in triangle CBD,\nBD/SinBCD = CD/SinCBD\nHence SinBCD = (BDSinCBD)/CD\ntherefore <BCD = Sin inverse of((BDSinCBD)/CD)...equ2\nObserving equs 1 & 2, <ABD = <CBD and AD = CD (Given)\nTherefore <BAD = <BCD proved.\nHence <BDA = <BDC (sum of angles of a triangle)\nTherefore triangle ABD is congruent to triqangle CBD side, angle, side. Or angle, angle, angle
598810
a regular polygon has the same angles and sides while a irregular one has different sides and angles.