perpendicular segment 37 videos
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The Midpoint and Distance Formulas in 3D
Precalculus Vectors and Parametric Equations
How to derive the formula for the midpoint of a segment in three dimensions.
position vectors the vector from point a to point b the midpoint formula vector addition scalar multiplication -
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 -
Distance Formula
Trigonometry Pythagorean Theorem
How to derive the equation for the distance between two points using the Pythagorean Theorem.
distance coordinate plane ordered pair segment -
Constructing an Angle Bisector
Geometry Constructions
How to define and construct an angle bisector.
construction perpendicular equidistant shortest distance to a line bisector -
Constructing the Circumcenter
Geometry Constructions
How to construct the circumcenter using a compass and straightedge.
point of concurrency perpendicular bisectors equidistant circumscribed construction -
Components of a Force
Precalculus Vectors and Parametric Equations
How to define the components of a vector.
forces components resultant vector addition perpendicular -
Special Isosceles Triangle Properties
Geometry Triangles
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
isosceles triangle angle bisector altitude median -
The Resultant of Two Forces
Precalculus Vectors and Parametric Equations
How to find the resultant of two forces when they are parallel, opposite, or perpendicular in direction.
Forces Resultant Vector Addition Magnitude Direction The Pythagorean Theorem -
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 -
Rhombus Properties
Geometry Polygons
How to define a rhombus and compare it to a square and rectangle.
rhombus congruent sides parallelogram angle bisectors perpendicular bisectors rectangles diagonals -
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 -
Calculating the Midpoint
Geometry Geometry Building Blocks
How to find the midpoint of a segment with endpoints in rectangular coordinates, How to write the midpoint formula.
endpoint coordinate plane -
The Geometric Representation of Vectors
Precalculus Vectors and Parametric Equations
How to understand what vectors are, and how they can be represented geometrically.
Magnitude Direction Scalar Vector Directed Line Segment Initial Point Terminal Point -
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 -
Kite Properties
Geometry Polygons
How to identify a kite and its special properties.
kite diagonals consecutive sides vertex angle non vertex angle bisect perpendicular -
Area of Kites and Rhombuses
Geometry Area
How to derive the area formula of a kite based on the rectangle formula; how to calculate the area of a rectangle using diagonal lengths.
kite area diagonals consecutive sides vertex angle non vertex angle bisect perpendicular rhombus
