CK12 - Geometry

For segment , find the distancebetween(-1, 3) and (1, -3).

So, the lengthof eachsegmentis equalto , and the sidesare all equal.At this point,you knowthat
the figureis eithera rhombusor a square.To distinguish,you’llhaveto identifywhetherthe anglesare right
angles.If one of the anglesis a right angle,they all mustbe, so the shapewill be a square.If it isn’t a right
angle,then noneof themare, and it is a rhombus.

You can checkwhethertwo segmentsform a right angleby findingthe slopesof two intersectingsegments.
If the slopesare oppositereciprocals,then the lines are perpendicularand form right angles.

The slopeof segment can be calculatedby findingthe “rise over the run”.

Now find the slopeof an adjoiningsegment,like

The two slopesare -3 and 3. Theseare oppositenumbers,but they are not reciprocals.Rememberthat

the oppositereciprocalof -3 wouldbe , so segments and arenotperpendicular. Sincethe