Assertion: parallelogram's pair | /r/HasProperty | congruent
Facets:
value: each pair of opposite angles
type: OTHER
value: to one another
type: TRANSITIVE-OBJECT
value: always
type: DEGREE
Source sentences:
text: If both pairs are congruent, you have either a rhombus or a square.
text: Or: Both pairs of opposite sides are congruent.
text: Or: One pair of opposite sides are congruent and parallel.
text: Both pairs of opposite sides of a parallelogram are always parallel, and both pairs of opposite sides of a parallelogram are always congruent.
text: If both pairs of opposite sides of a quadrilateral are congruent, then it’s a parallelogram (converse of a property).
text: If both pairs of opposite angles of a quadrilateral are congruent, then it’s a parallelogram (converse of a property).
text: Reason for statement 8: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
text: To complete one of these methods, you need to show one of the following: That the other pair of opposite sides are congruent That segment DG and segment EF are parallel as well as congruent Ask yourself which approach looks easier or quicker.
text: Reason for statement 10: If one pair of opposite sides of a quadrilateral are both parallel and congruent, then the quadrilateral is a parallelogram (lines 9 and 7).
text: Both pairs of opposite sides are congruent Both pairs of opposite angles are congruent Diagonals bisect
text: One pair of opposite sides are congruent AND parallel
text: This means we are looking for whether or not both pairs of opposite sides of a quadrilateral are congruent.
text: Both pairs of opposite sides are congruent.
text: One pair of opposite sides are congruent and parallel.
text: A parallelogram does not have four congruent sides, but two pairs of sides that are congruent to one another.
text: - Show that both pairs of opposite sides are congruent.
text: - Show that one pair of sides is parallel and congruent.
text: The second is that both pairs of opposite sides are congruent.
text: The third criteria is that one pair of opposite sides are congruent and parallel.
text: A pair of opposite sides (LK and JM) are parallel and congruent
text: The five properties of a parallelogram are that both pairs of opposite sides are parallel and congruent.
text: Moreover, both pairs of opposite angles are also congruent and the consecutive angles are supplementary.
text: Both pairs of opposite sides of a parallelogram are congruent.
text: Both pairs of opposite angles are congruent
text: Both pairs of opposite sides are congruent.
text: One pair of opposite sides is both congruent and parallel.
text: Both pairs of opposite angles are congruent.
text: Each pair of opposite sides must be congruent as well as each pair of opposite angles.