Basic Terms in Geometry

This lessons reviews Basic Geometry Vocabulary with interactive displays of the vocabulary.[br][br]Point(s), Plane, Line, Segment, Ray, Angle, Side(s), Vertex, etc.
Additional resources to view:[br]Standard Position 01[br]Standard Position 01a[br]Coterminal Angles 01b

Minor and Major Arcs of a Circle

This is an examination of the minor and major arcs of a circle.[br]The definition of an arc, a minor arc, and a major are listed.
There is a note describing how Arc[<conic>,<point>, <point>] works...

Circle Relationships (IN or ON)

Level 1: 2 secant lines (intersecting at an internal point) Level 2: 2 secant lines (intersecting at on the circle) Level 3: 1 Tangent & 1 secant (intersecting at on the circle)

Activate only 1 check box at a time...

Construct a cirle given 3 points

Use the tools indicated to plot 3 points, connect two segments connecting the point, construct perpendicular bisectors of each segment; the intersection of the bisectors is the center of the circle; finally draw the circle and report the size of the radius.

ToolImage[0] Move image ToolImage[1] Point ToolImage[15] Segment ToolImage[8] Perpendicular Bisector ToolImage[10 ] Circle ToolImage[40] Move Graphics View ToolImage[41] Zoom Out ToolImage[42] Zoom In

Pythagorean Triple Generator

This applet displays Pythagorean Triple integer values when they exist.
a = m² + n² [br]b = 2mn [br]c = m² - n² [br]m > n

General Equation of Parabola (origin)

Three sliders, a, b, and α adjust the general equation of a parabola. a and b set the major and minor axis and α allows the parabola to rotate. Display of [math]\frac {(x-h)²}{a²} + \frac{(y-k)}{b} = 1[/math]

What are the setting ranges for a, b, and α to show a vertical parabola? A horizontal parabola? What settings changes are needed to set the rotation of the parabola to 45°, 120°, 215°, or 330°? A parabola has a vertex, a focus, and a directrix, what setting does the b represent with respect to these values? What about the a value?

Quadrilaterals--A taxonomy

Angle Info

Any of the points are moveable.[br][br]Showing methods to name angles with points.[br]Showing name of type of angle:[br] Acute, Right, Obtuse, and Reflex
Angles can be assigned numerical names as well. This is done when there are a lot of angles to be named.

Information