Mr. Loewen Honors Geometry

Mr. Loewen, Nov 13, 2014

Table of Contents

  1. Circle Theorems
    1. CIRCLE THEOREM: ANGLE AT THE CENTRE
    2. Angles Inscribed in Semicircles
    3. Angles subtended by the same arc
    4. Tangent-Chord Angles
  2. "Centers" for Triangles
    1. circumcenter
    2. Orthocenter of a Triangle
    3. Centroid
    4. incenter
    5. Euler's Line
  3. Polygons
    1. Sum of the Interior Angles of a Polygon
    2. Sum of Exterior Angle of Polygon
    3. Sum of Exterior Angles demo

1.

Circle Theorems

  • 1. CIRCLE THEOREM: ANGLE AT THE CENTRE
  • 2. Angles Inscribed in Semicircles
  • 3. Angles subtended by the same arc
  • 4. Tangent-Chord Angles

1.1.

CIRCLE THEOREM: ANGLE AT THE CENTRE

– Jigar Mehta

1.2.

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1.3.

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1.4.

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2.

"Centers" for Triangles

  • 1. circumcenter
  • 2. Orthocenter of a Triangle
  • 3. Centroid
  • 4. incenter
  • 5. Euler's Line

2.1.

circumcenter

Sarah Hild circumcenter construction
– sarah hild

2.2.

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2.3.

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2.4.

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2.5.

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3.

Polygons

  • 1. Sum of the Interior Angles of a Polygon
  • 2. Sum of Exterior Angle of Polygon
  • 3. Sum of Exterior Angles demo

3.1.

Sum of the Interior Angles of a Polygon

Use your handout with these directions to discover the formula for finding the sum of the interior angles of any polygon.
– Bobby Knurek, Ms. Dougherty-Samowitz, cwinske

3.2.

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3.3.

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