<?xml version="1.0" encoding="UTF-8"?>
<proofset>
    <learningmode>no</learningmode>
    <pdiagram>proof1102a</pdiagram>
    <given>marAB eq marDC</given>
    <prove>segBD cg segCA</prove>
    <hint>hint1102</hint>
    <proof>
        <pi>1:marAB eq marDC:rsnGiven:0</pi>
        <pi>2:marBC eq marBC:rsnRPE:0</pi>
        <pi>3:marAB+BC eq marDC+BC:rsnAPE:1,2</pi>
        <pi>4:marAB+BC eq marABC:rsnArcAddPost:3</pi>
        <pi>5:marDC+BC eq marBCD:rsnArcAddPost:3</pi>
        <pi>6:marABC eq marBCD:rsnSub:5</pi>
        <pi>7:arcABC cg arcBCD:rsnDefCg:6</pi>
        <pi>8:segBD cg segCA:rsnCgArcsCgChords:7</pi>
    </proof>
    <extra>
        segAB,segBD,segCD, triABD,rsnSSS,rsnAAS
    </extra>
</proofset>