CK12 - Geometry

So, the lengthsare as follows:

, , and

Usingthe distanceformula,we showedthat the correspondingsidesof the two triangleshavethe same
length.We don’thavethe toolsto find the measuresof the anglesin thesetriangles,so we can showcon-
gruencein a differentway.

Imagineyou couldpick up withoutchangingits shapeand movethe wholetriangle unitsright

and unitsdown.If you did this, then points and wouldbe on top of eachother, and would

also be on top of eachother, and and wouldalso coincide.

To analyzethe relationshipbetweenthe points,the distanceformulais not necessary. Simplylook at how
far (and in whatdirection)the verticesmay havemoved.