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      <title>Modern Geometry  by Reynald Dy</title>
      <link>https://padlet.com/reynalddy14/jnxrj7lftushbmda</link>
      <description>Reynald M.Dy
ED-22
18-41M-002</description>
      <language>en-us</language>
      <pubDate>2020-05-14 05:47:32 UTC</pubDate>
      <lastBuildDate>2026-01-26 18:21:01 UTC</lastBuildDate>
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         <title>1.3.2 Exercise</title>
         <author>reynalddy14</author>
         <link>https://padlet.com/reynalddy14/jnxrj7lftushbmda/wish/574096084</link>
         <description><![CDATA[<div>Using sketchpad, construct each of the following figures so that the figure retain its defining property when a free point on the figure is dragged:<br>a) a rectangle, given perpendicular segment AB AND AC<br>b) a parallelogram, given two segment AB and AC with A, B, and C free points<br>c) a rhombus, given two segment AB and AC with AB ~ AC<br>d) a 30-60-90 triangle, given line segment AB as the hypotenuse of the triangle </div>]]></description>
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         <pubDate>2020-05-15 02:04:17 UTC</pubDate>
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         <title>Exercise 1.5.8</title>
         <author>reynalddy14</author>
         <link>https://padlet.com/reynalddy14/jnxrj7lftushbmda/wish/574100880</link>
         <description><![CDATA[<div>(a) Consider a set of 4 point consisting of 3 vertices of a triangle and the ortrocenter of that triangle. Prove that any one point of this set is the orthocenter of the triangle formed by the remaining three points. Such a set is called an <em>orthocentric system. </em></div>]]></description>
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         <pubDate>2020-05-15 02:09:27 UTC</pubDate>
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         <title>Exercise 1.6.1, Particular figure I: </title>
         <author>reynalddy14</author>
         <link>https://padlet.com/reynalddy14/jnxrj7lftushbmda/wish/574112455</link>
         <description><![CDATA[<div>In section 1.3 a construction of an equilateral triangle starting from one side was given. This problem will expand upon those ideas.<br>a) draw a line segment and label its endpoint <em>A </em>and <em>B. </em>Construct a square having <em>AB </em>as one of its sides. Describe your construction and explain why it works<br>b) Draw another line segment and label it endpoints <em>A and B</em>. Construct a triangle <em>ABC </em>having a right angle at C so that the triangle remain right-angled no matter which vertex is dragged. Explain you construction and why it works. Is the effect of dragging the same at each vertex in your construction? If not why?</div>]]></description>
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         <pubDate>2020-05-15 02:21:17 UTC</pubDate>
         <guid>https://padlet.com/reynalddy14/jnxrj7lftushbmda/wish/574112455</guid>
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         <title>Exercise 1.6.3, Special point of triangles:</title>
         <author>reynalddy14</author>
         <link>https://padlet.com/reynalddy14/jnxrj7lftushbmda/wish/574118685</link>
         <description><![CDATA[<div>Using Sketchpad, in a new sketch place a point and label it <em>N. </em>Construct an equilateral triangle <em>ABC </em>such the <em>N </em>is the commong incenter, orthocenter, circumcenter and centroid of equilateral traingle <em>ABC. </em>Describe your construction and explain why it works</div>]]></description>
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         <pubDate>2020-05-15 02:28:07 UTC</pubDate>
         <guid>https://padlet.com/reynalddy14/jnxrj7lftushbmda/wish/574118685</guid>
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         <title>Exercise 1.6.4, Euclid&#39;s Constructions:</title>
         <author>reynalddy14</author>
         <link>https://padlet.com/reynalddy14/jnxrj7lftushbmda/wish/574129441</link>
         <description><![CDATA[<div>a) given a line segment <em>AB </em>and a point C above <em>AB </em>construct the point <em>D</em> on <em>AB </em>so that <em>CD </em>is perendicular to <em>AB</em>. We call <em>D </em>the <em>foot </em>of the perpendicular from C to AB. Prove that your construction works. </div>]]></description>
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         <pubDate>2020-05-15 02:40:10 UTC</pubDate>
         <guid>https://padlet.com/reynalddy14/jnxrj7lftushbmda/wish/574129441</guid>
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         <title>Exercise 1.6.5, Regular Octagons: </title>
         <author>reynalddy14</author>
         <link>https://padlet.com/reynalddy14/jnxrj7lftushbmda/wish/574134936</link>
         <description><![CDATA[<div>a) Using Sketchpad draw two point and label the <em>O </em>and <em>A. </em>Construct a regular octagon having <em>O </em>as center and <em>A </em>as one vertex. In other words, construct an octagon by center and point.<br>b) Open a new sketch and draw aline segment <em>CD </em>(don't make it too long). Construct a regular octagon having CD as one side. In other words, construct an octagon by edge.</div>]]></description>
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         <pubDate>2020-05-15 02:46:47 UTC</pubDate>
         <guid>https://padlet.com/reynalddy14/jnxrj7lftushbmda/wish/574134936</guid>
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