<?xml version="1.0" encoding="UTF-8"?>
<proofset>
    <pdiagram>proof1102b</pdiagram>
    <given>segAD pp segBC</given>
    <prove>segAD bisects segBC</prove>
    <proof>
        <pi>1:segAD pp segBC:rsnGiven:0</pi>
        <pi>2:segAB cg segAC:rsnAllRadCg:0</pi>
        <pi>3:stmAEBandAECareRA:rsnDefOfPerp:1</pi>
        <pi>4:angAEB cg angAEC:rsnRAC:3</pi>
        <pi>5:segAE cg segAE:rsnRPC:0</pi>
        <pi>6:triABE cg triACE:rsnHL:2,5</pi>
        <pi>7:segBE cg segCE:rsnCPCTC:6</pi>
        <pi>8:segAD bisects segBC:rsnDefOfBisect:7</pi>
    </proof>
    <extra>
        segAB,segBD
    </extra>
</proofset>