<p>This is a geogbra(1) file that show a triangle and its median, altitude, perpendicular bisector, and angle bisector individually or all or any combination together. You can also change the shape of triangle or share the file online so that your students can play with it.</p> <p>With this demo, your students will clarify these four types of line and has a better memory for them.</p> <p>There are also many fine tunes feature, each of them take me (quite a experienced user of geogbra) about 10 to 30 mins to make each of them. That means by buying this item, you saved an considerable amount of money, which worth at least 80 mins time your hourly salary minus the price of this item.</p> <p>Features: (you can see a version with picture <a href="https://docs.google.com/document/d/180VAUd_AEN1LyXlZ64ZuYRgXmJRCf_VmJb96-kE8lgQ/edit?usp=sharing" target="_blank" rel="nofollow">here</a>)</p> <ol> <li>you can show median, altitude, angle bisector, and perpendicular bisector for the same triangle</li> <li>you can drag vertex and show the changes (if you drag point C upward)</li> <li>for median, mid point is clearly shown</li> <li>perpendicular bisector, mid point is clearly shown</li> <li>right angle is clearly shown</li> <li>for angle bisector, angles size are clearly shown</li> <li>for altitude, right angle is clearly shown</li> <li>if right angle is outside, a dotted segment is shown (it works for both sides)</li> </ol>

<p><strong>Whats inside</strong></p> <ul> <li>A geoebra file shows interactively median, altitude, angle bisector, and perpendicular bisector</li> </ul> <p><strong>Why this is useful for student</strong></p> <ul> <li>Help them to understand how four centers change with the shape of triangle and hence has a better memory about four centers.<br /> (I found that students commonly mixes up median, altitude, angle bisector, and perpendicular bisector)</li> <li>You can show those four centers together (e.g. show median and altitude at the same time) and your students will no longer mix them up.</li> </ul> <p><strong>Why this is useful for you</strong><br /> This file help you to save your time to make material and focus on teaching.</p> <p>Each feature below takes about 15 to 30 mins to fine tunes. (<a href="https://docs.google.com/document/d/180VAUd_AEN1LyXlZ64ZuYRgXmJRCf_VmJb96-kE8lgQ/edit?usp=sharing" target="_blank" rel="nofollow">click here for a version with pictures</a>)</p> <p><strong>Feature</strong></p> <ol> <li>you can show median, altitude, angle bisector, and perpendicular bisector for the same triangle</li> <li>you can drag vertex and show the changes</li> <li>for median, mid point is clearly shown</li> <li>perpendicular bisector, mid point is clearly shown</li> <li>right angle is clearly shown</li> <li>for angle bisector, angles size are clearly shown</li> <li>for altitude, right angle is clearly shown</li> <li>if right angle is outside, a dotted segment is shown</li> </ol>