show that the opposite angles of a parallelogram are equal?
438083
The opposite angles of a parallelogram are equal (and conversely: if the opposite angles of a quadrilateral are equal, it is a parallelogram). The diagonals of a parallelogram bisect each other (and conversely: if the diagonals of a quadrilateral bisect each other, it is a parallelogram).
854921
Since opposite sides are equal in length, the squares on both diagonals are the same. We have already proven that a quadrilateral whose diagonals bisect each other is a parallelogram. Because ABCD is a parallelogram, its opposite sides are equal. (matching angles of congruent triangles).
566273
The Parallelogram A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
1428910
The opposite sides of a parallelogram are equal. ABCD is a parallelogram. To prove that AB = CD and AD = BC.
602907
Originally Answered: What is the measure of each angle when two opposite angles of a parallelogram is (3x-2) degree and (50-x) degree? Hence, x =13, so these two angles are 50 - 13 = 40 - 3 = 37.
1046882
['All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary).', 'All sides are congruent by definition.', 'The diagonals bisect the angles.']
1462697
DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite sides congruent. THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite angles congruent.
147749
Two pairs of opposite angles are equal in measure. The diagonals bisect each other. One pair of opposite sides is parallel and equal in length. Adjacent angles are supplementary.
1220841
Opposite angles of a parallelogram are equal. ... Opposite angles of a cyclic quadrilateral are supplementary. It means each of opposite angles of a cyclic parallelogram is a right angle (180 / 2 = 90 degree). So, all angles are right angles in cyclic parallelogram which makes it a rectangle.
331928
THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.
350048
If adjacent sides of a parallelogram are equal, then the parallelogram is a rhombus. In a rhombus, the diagonals bisect each other and are perpendicular to each other.
324463
Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.
314224
A Parallelogram is a flat shape with opposite sides parallel and equal in length. Angles "a" and "b" add up to 180°, so they are supplementary angles.
27191
A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
202700
A simple (non-self-intersecting) quadrilateral is a parallelogram if and only if any one of the following statements is true: Two pairs of opposite sides are parallel (by definition). Two pairs of opposite sides are equal in length.
535272
For the quadrilateral PQRS to be a parallelogram, the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. Let's take each statement one by one. (1) Adjacent sides PQ and QR have the same length. The opposite sides may or may not be equal.
745209
Opposite angels are congruent (D = B). Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other.