Are the following lines parallel?
We know that a quadrilateral is a parallelogram if one pair of opposite sides is parallel and equal in length. We can see on the graph that the green line segments are equal and parallel.
The lines d1 and d2 are parallel.
We know that a quadrilateral is a parallelogram if and only if one pair of opposite sides is parallel and equal in length. We can see on the graph that the green line segments are parallel but not equal. Thus, the quadrilateral is not a parallelogram because the lines are not parallel.
The lines are not parallel.
Two lines in a plan are parallel if they never meet. Here, the lines meet at the point (1,1) and are therefore not parallel.
The lines are not parallel.
We know that a quadrilateral is a parallelogram if one pair of opposite sides is parallel and equal in length. We can see on the graph that the green line segments are equal and parallel.
The lines are parallel.
We know that a quadrilateral is a parallelogram if and only if one pair of opposite sides is parallel and equal in length. We can see on the graph that the green line segments are parallel but not equal. Thus, the quadrilateral is not a parallelogram because the lines are not parallel.
d1 and d2 are not parallel.
We know that a quadrilateral is a parallelogram if one pair of opposite sides is parallel and equal in length. We can see on the graph that the green line segments are equal and parallel.
d1 and d2 are parallel.
We know that a quadrilateral is a parallelogram if and only if one pair of opposite sides is parallel and equal in length. We can see on the graph that the green line segments are parallel but not equal. Thus, the quadrilateral is not a parallelogram because the lines are not parallel.
d1 and d2 are not parallel.