Plane (Euclidean) Geometry MathRoom |

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**Lessons in the Plane (Euclidean) Geometry MathRoom**

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logID |
Lesson Name |
Topics Covered |

DEFINITIONS, ANGLES, SYMMETRY, SIMILAR FIGURES | ||

plgm1.0 | geometry primer | definitions, classifying, naming angles |

plgm1 | angles, definitions, parallel lines | opposite angles, angles and parallel lines |

plgm1b | all about angles | naming, measuring, constructing angles |

plgm1c | symmetry: first concepts | line or axis of symmetry, symmetric figures |

plgm1d | ratio and proportion | properties of ratios and proportions |

plgm1.2 | similar figures in 2 dimensions | similar figures: sides, perimeter, area ratios |

plgm1.3 | similar solids | similar solids: ratio of sides, area, volume |

PERIMETER, AREA & VOLUME | ||

plgm1.4.0 | points, lines, solids | definitions of geometric figures |

plgm1.4 | prisms | Area and Volume of prisms and pyramids |

plgm1.4.1 | circular solids | Area and Volume of cones, spheres, cylinders |

plgm1.5 | perimeter and area | Measuring outside and inside |

plgm1.5.0 | perimeter and area basics | Definitions, perimeter & area in 2-dimensions |

THEOREMS ON TRIANGLES | ||

plgm1a | triangles: angles and sides | classifying triangles by angles and sides |

plgm2 | two special right triangles | the isosceles and 30º, 60º, 90º triangles. |

plgm2.1 | midpoint theorems (triangles) | 2 theorems on midpoints of sides |

plgm2.2 | Pythagrorean Theorem | the square on the hypotenuse |

plgm3 | 4 triangle theorems | angle bisector, right triangle ratio theorems |

plgm3.1 | congruent triangle theorems | side-angle-side, side-side-side, angle-side-angle |

plgm3.2 | proving deductions, examples | using SSS, SAS, ASA to prove deductions |

CIRCLES AND POLYGONS | ||

plgm2.3 | Polygons | angles, apothem, area of regular polygons |

plgm2.4 | Quadrilaterals | classifying, perimeter, area of quadrilaterals |

plgm4 | circles 1: definitions, metric theorems | theorems on chords, secants and tangents |

plgm4.1 | circles first principles | definitions, circumference, area |

plgm4.1a | more circles | angles in a circle, sectors, arcs, area |

plgm5 | circles 2: arcs and angle measures | theorems on degree measure of arcs, angles |

plgm6 | circle geometry questions | arcs, angles, proofs, multiple guess |

plgm6sl | solutions for circle questions | solutions |

gr8xrcrplygn | grade 8 circle, polygon exercises | arc lengths, sector areas, polygon angles |

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