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Honors Geometry Final Topics Chapter 7 Triangle Angle Sum is 180 Degrees No Choice Thm AAS Polygon Formulas Regular Polygons Chapter 8 Geometric means Ratio & proportion Means-extremes ratio theorem Means-extremes product theorem Similar figures Proving similar triangles (AAA~, AA~, SSS~, SAS~) Corresponding sides of similar figures are proportional Corresponding angles of similar figures are congruent Side splitter theorem Angle bisector theorem Parallel lines intersected by a transversal divide the transversal proportionally Chapter 9 Simplify radicals Solve quadratic equations Altitude on hypotenuse theorems Pythagorean theorem Pythagorean triples Principle of the reduced triangle Special right triangles Pythagorean theorem in solid figures Basic trig ratios Angle of depression Angle of elevation Chapter 10 Circles-chords, diameters, radii, concentric Circumference and area Radius –chord relationships Congruent chords Arcs of a circle Arc measure Congruent arcs Relationships between congruent arcs, chords, and central angles Secants and tangents Tangent circles Finding common external and internal tangents Two tangent theorem Angles Central, inscribed, tangent –chords, chord-chord, secant-secant, secant-tangent, and tangent-tangent Congruent inscribed and tangent-chord angles Measure of an angle inscribed in a semi-circle Relationship between tangent-tangent angle and its minor arc Inscribed and circumscribed polygons Characteristics of quad inscribed in a circle Characteristics of parallelogram inscribed in a circle Chord-chord power theorem Tangent –secant power theorem Secant-secant power theorem Circumference and arc length Chapter 11 Area of rectangles and squares Area of parallelograms and triangles Area of a trapezoid Median of a trapezoid Area of kites Area of equilateral triangles Area of regular polygons Area of circles, sectors, and segments Ratios of areas Chapter 12 Surface area of prisms, pyramids, cylinders, cones, spheres Volume of right rectangular prisms, all prisms, cylinders Using cross sections to find volume Volume of pyramids and cones Volume of spheres Extra Stuff Law of sines/cosines Area of an oblique triangle Surveying and navigation problems
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