inscribed polygon 25 videos
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Circumscribed and Inscribed Circles and Polygons
Geometry Constructions
How to define circumscribed and inscribed circles and polygons relative to each other.
vertex radius polygon inscribed circle circumscribed -
Inscribed Angles
Geometry Circles
How to calculate the measure of an inscribed angle.
inscribed angle intercepted arc central angle congruent arcs -
Center and Apothem of Regular Polygons
Geometry Area
How to define the apothem and center of a polygon; how to divide a regular polygon into congruent triangles.
center circumscribed circle inscribed polygon isosceles triangle regular hexagon -
Polygons
Pre-Algebra Introductory Geometry
Naming polygons, classifying triangles, and classifying quadrilaterals
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Number of Diagonals in a Polygon
Geometry Reasoning, Diagonals, Angles and Parallel Lines
How to determine the number of diagonals in a polygon.
vertex diagonal non consecutive vertices polygon -
Exterior Angles of a Polygon
Geometry Polygons
How to find the sum of the exterior angles in a polygon and find the measure of one exterior angle in an equiangular polygon.
exterior angle sum of angles equiangular polygon -
Polygon Angle Sum
Geometry Polygons
How to derive the formula to find the sum of angles in any polygon.
triangle angle sum diagonal polygon -
Area of Regular Polygons
Geometry Area
How to derive the formula to calculate the area of a regular polygon.
area apothem side hexagon isosceles triangle perimeter equilateral equiangular -
Equiangular Polygon Sums
Geometry Polygons
How to find the measure of one angle in any equiangular or regular polygon.
equiangular regular congruent triangles sum -
Similarity and Area Ratios
Geometry Similarity
How to convert between length and area ratios of similar polygons
polygons similar area ratios -
Surface Area of Pyramids
Geometry Area
How to calculate the surface area of any pyramid, emphasizing regular polygons as bases.
regular polygon lateral area apothem -
Angles in Semicircles and Chords to Tangents
Geometry Circles
How to prove that an angle inscribed in a semicircle is a right angle; how to solve for arcs and angles formed by a chord drawn to a point of tangency.
inscribed angle semicircle tangent chord intercepted arc -
Properties of Similar Polygons
Geometry Similarity
How to identify if two figures are similar.
similar figures corresponding angles congruence corresponding sides proportional -
Tangent Segments to a Circle
Geometry Circles
How to find the length of tangent segments drawn to a circle from the same point.
tangent congruent segments inscribed circle -
Regions Between Circles and Squares
Geometry Area
How to calculate the area between a square and an inscribed circle.
shaded region square circle radius -
Volume of Pyramids
Geometry Volume
How to find the volume of any pyramid.
volume base area height pyramid regular polygon -
Cyclic Quadrilaterals and Parallel Lines in Circles
Geometry Circles
How to prove that opposite angles in a cyclic quadrilateral are congruent; how to prove that parallel lines create congruent arcs in a circle.
inscribed angles cyclic quadrilaterals parallel lines alternate interior angles -
Similar Triangles in Circles and Right Triangles
Geometry Similarity
How to determine if two triangles in a circle are similar and how to prove that three similar triangles exist in a right triangle with an altitude.
similar inscribed angles intercepted arc right angle circle -
Trapezoid Arch and Panel Design Problem
Geometry Polygons
How to strategize about solving a problem with trapezoidal arches.
trapezoid arch panel design interior angle equiangular polygon isosceles
