initial point 16 videos

Constructing a Perpendicular at a Point on a Line
Geometry Constructions
How to construct a perpendicular line at a point on a line.
perpendicular point on the line construct 
Point of Concurrency
Geometry Constructions
How to define point of concurrency; how to identify the four main points of concurrency in triangles.
intersection incenter angle bisectors circumcenter perpendicular bisector orthocenter altitude centroid median 
Three Undefined Terms: Point, Line, and Plane
Geometry Geometry Building Blocks
How to describe and label point, line, and plane. How to define coplanar and collinear.
point line plane coplanar collinear 
Line Segments
Geometry Geometry Building Blocks
How to define and label a line segment.
line endpoint points 
Constructing the Incenter
Geometry Constructions
How to construct the incenter using a compass and straightedge.
point of concurrency angle bisectors equidistant 
Constructing the Orthocenter
Geometry Constructions
How to construct the orthocenter of a triangle.
point of concurrency orthocenter altitude construction 
Constructing a Perpendicular to a Line
Geometry Constructions
How to find the shortest distance between a point and a line.
construction midpoint perpendicular equidistant shortest distance to a line 
Constructing the Circumcenter
Geometry Constructions
How to construct the circumcenter using a compass and straightedge.
point of concurrency perpendicular bisectors equidistant circumscribed construction 
Rotational Symmetry
Geometry Transformations
How to define rotational symmetry and identify the degree of rotational symmetry of common regular polygons.
symmetry rotation point symmetry image equilateral triangle 
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 
Distance Formula
Geometry Pythagorean Theorem
How to derive the equation for the distance between two points using the Pythagorean Theorem.
distance coordinate plane ordered pair segment 
Constructing the Centroid
Geometry Constructions
How to identify the centroid and the way it divides each of the medians.
point of concurrency center of mass center of gravity centroid proportional segments construct 
Locus and Definition of a Circle and Sphere
Geometry Circles
How to define a circle and a sphere using the word locus.
locus set of points distance plane circle sphere given 
Radii to Tangents
Geometry Circles
How to define a tangent line; how to determine the angle a radius to a tangent forms.
tangent radius right angle point outside the circle perpendicular 
Rotations
Geometry Transformations
How to define a rotation and what information is necessary to perform a rotation.
isometry transformation point of rotation angle of rotation direction counterclockwise clockwise 
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