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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