<?xml version="1.0" encoding="UTF-8"?>
<proofset>
    <pdiagram>proof1031a</pdiagram>
    <given>segAB pa segCD,segAC pa segBD</given>
    <prove>triABD cg triDCE</prove>
    <proof>
        <pi>1:segAB pa segCD:rsnGiven:0</pi>
        <pi>2:angCAD cg angBDA:rsnAltIntAngEq:1</pi>
        <pi>3:segAC pa segBD:rsnGiven:0</pi>
        <pi>4:angBAD cg angCDA:rsnAltIntAngEq:1</pi>
        <pi>5:segAD cg segDA:rsnRPC:0</pi>
        <pi>6:triABD cg triDCE:rsnASA:2,4,5</pi>
    </proof>
    <extra>
        segBD,segAC,segCD,angABD,triABD,triADC,rsnSSS,rsnAAS
    </extra>
    
</proofset>