Question

The slope of jk¯¯¯¯¯ is ________, the slope of lk¯¯¯¯¯ is ________, the slope of ml¯¯¯¯¯¯ is ________, and the slope of mj¯¯¯¯¯¯ is ________. Is quadrilateral jklm a parallelogram?

1) Yes, quadrilateral jklm is a parallelogram because there are two pairs of equal slopes, and thus two pairs of parallel sides.
2) No, quadrilateral jklm is not a parallelogram because there are no pairs of parallel sides.

4) Spam

Answer 1

Without specific slope values for the sides of quadrilateral JKLM, we cannot determine if it is a parallelogram. We need to compare the slopes to establish if there are two pairs of parallel sides.

Step-by-step explanation:

To determine if quadrilateral JKLM is a parallelogram, we need to verify if there are two pairs of equal slopes indicating two pairs of parallel sides.

Based on the example provided with Figure A1 for slope understanding, the slope of a line is the rise over the run. Given the slope is consistent along a straight line, if JK and LM have the same slope, they are parallel, and the same applies to LK and MJ.

If two pairs of opposite sides of the quadrilateral are parallel, then we can conclude that quadrilateral JKLM is a parallelogram. However, without specific slope values for the sides of quadrilateral JKLM, we cannot make a definitive conclusion.