are opposite sides of a parallelogram equal
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! A parallelogram with: A rhombus is a four-sided shape where all sides have equal length. Also opposite sides are parallel and opposite angles are equal. Another interesting thing is that the diagonals (dashed lines in second figure) meet in the middle at a right angle. In other words they bisect (cut in half) each other at right angles. So would I start the proof as: It is given that quadrilateral ABCD is a parallelogram. Using the Reflexive Property, we know that line AC is congruent to line AC. Line AB is congruent to line CD because opposite sides of a parallelogram are equal. Line BC is equal to line AD because both pairs of opposite sides of a parallelogram are congruent and parallel. Therefore, triangle ABC is congruent to triangle ADC. anonymous. Notice how the opposite sides remain parallel. A parallelogram is a quadrilateral with opposite sides parallel. But there are various tests that can be applied to see if something is a parallelogram. It is the parent of some other quadrilaterals, which are obtained by adding restrictions of various kinds: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite sides are parallel. Opposite angles are equal (angles a are the same, and angles b are the same) Angles a and b add up to 180°, so they are supplementary angles. Play with a Parallelogram: NOTE: Squares, Rectangles and Rhombuses are all Parallelograms! Best Answer: Hey there! The definition of a parallelogram states that two pairs of opposite sides are parallel, not congruent. Let parallelogram ABCD, have sides such that AB is parallel to CD and AC is parallel to BD. AB ll CD and AC ll BD --> Write the problem. Draw line BD --> There is exactly one line through any two points. A quadrilateral is a parallelogram if: 1  Both pairs of opposite sides are parallel. (By definition). Or: 2  Both pairs of opposite sides are congruent. If they are congruent, they must also be parallel. Or:  One pair of opposite sides are congruent and parallel. A trapezoid (called a trapezium in the UK) has a pair of opposite sides parallel. It is called an Isosceles trapezoid if the sides that aren't parallel are equal in length and both angles coming from a parallel side are equal, as shown. Although the definition of a parallelogram is a quadrilateral with both pairs of opposite sides parallel, the only way for a quadrilateral to include opposite sides of… equal length is if the included angles are the same, and hence the sides are parallel. (Hint : draw a diagonal to a parallelogram. A quadrilateral is a parallelogram if: 1  Both pairs of opposite sides are parallel. (By definition). 2  Both pairs of opposite sides are congruent. If they are congruent, they must also be parallel.  One pair of opposite sides are congruent and parallel. Then, the other pair must also be parallel.
Yes