Examples


 * [[image:http://images.classwell.com/ebooks/images/mcd_geo/given_arrow.gif align="absmiddle"]] || [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_pq.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/congruent.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_xy.gif align="absmiddle"]] ||
 * [[image:http://images.classwell.com/ebooks/images/mcd_geo/prove_arrow.gif align="absmiddle"]] || [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_xy.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/congruent.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_pq.gif align="absmiddle"]] ||





In the diagram, //Q// is the midpoint of.



Show that //PQ// and //QR// are each equal to //PR//.

//Given> Q// is the midpoint of.
 * [[image:http://images.classwell.com/ebooks/images/mcd_geo/prove_arrow.gif align="absmiddle"]] || //PQ// = [[image:http://images.classwell.com/ebooks/images/mcd_geo/frac_1_2.gif align="absmiddle"]]//PR// and //QR// = [[image:http://images.classwell.com/ebooks/images/mcd_geo/frac_1_2.gif align="absmiddle"]]//PR//. ||

Prove the symmetric property of segment congruence. .P.---.Q. GIVEN: PQ ~ XY .X.---.Y. PROVE: XY ~ PQ 1. PQ~X~ 2. PQ = XY 3. XY = PQ 4. XY~PQ Statements Reasons 1. Given 2. Definition of congruence 3.Symmetric Property of Equality 4. Definition of Congruence