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Elevation at its Peak
Resources:Scientific calculators Topographic map for display (optional) Teacher's Note:Some prior instruction in the use of trigonometric ratio methods is a prerequisite to this activity. Names and values in the activity can be modified as desired; if displaying a topographic...
Line Segment definition (Coordinate Geometry)
in ordinary plane geometry, the only difference being that we know the coordinates of the points involved. The naming conventions are also the same. Things to try In the above diagram, press 'Reset'. The line segment AB starts at point A at (52,7) and ends at point B at (53,20). Drag A, B...
Line definition (Coordinate Geometry)
the definition of a line in ordinary plane geometry, the only difference being that we know the coordinates of the points involved. The naming conventions are also the same. Things to try In the above diagram, press 'Reset'. The line AB passes through point A at (52,7), point B at...
Vertical line definition. (Coordinate Geometry)
for a vertical line the slope is undefined. As you drag the points above, notice that the slope indicator goes away when the line is exactly vertical. The equation of a vertical line is x = a Where: x is the coordinate of any point on the line ais where the ...
Horizontal line definition. (Coordinate Geometry)
Examples Fig 1. Is the line horizontal? Determine if the line shown in Fig 1 is horizontal and write it's equation. The two points A,B on the line are at (7,7) and (39,7). The second coordinate in each pair is the y-coordinate which are 7, and 7. Since they are equal, the ...
Parallel lines. (Coordinate Geometry)
are equal. The slope can be found using any method that is convenient to you: From two given points on the line. (See Slope of a line). From the equation of the line in slope-intercept form From the equation of the line in point-slope form And of course, you can use d...
Intercept (b) of a line (Coordinate Geometry)
off the top or bottom of the chart. Formula for the intercept of a line Below are two ways to find the intercept. Use either one depending on what you are given to start. Given the slope of the line and any point on the line The intercept (b) is given by where: m i...
Area of an Irregular Polygon
easy formula for the area of an irregular polygon. Each side could be a different length, and each interior angle could be different. It could also be either convex or concave. If you know the coordinates of the vertices of the polygon, there are two methods: A manual method. See Area of a...
 Charles A. Dana Center: Symmetry of Design: Teacher Notes
designs possible based on the transformations . (Note: There are a finite number of combinations of transformations, but there are still an infinite number of transformations possible because translations can be of any length, rotations can have any center, with any number of degrees of turn, and r...
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designs possible based on the transformations . (Note: There are a finite number of combinations of transformations, but there are still an infinite number of transformations possible because translations can be of any length, rotations can have any center, with any number of degrees of turn, and reflections can use any line as a reflector.) For each rigid motion: 1. Review the rigid motions described in the notes for each section; each definition is followed by an example in the student notes. These examples
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http://www.utdanacenter.org/mathtoolkit/downloads/models/geo2_symmetry.pdf#page=3
www.utdanacenter.org/mathtoolkit/downloads/models/geo2_symmetry.pdf#page=...
designs possible based on the transformations . (Note: There are a finite number of combinations of transformations, but there are still an infinite number of transformations possible because translations can be of any length, rotations can have any center, with any number of degrees of turn, and reflections can use any <span class="highlight">line</span> as a reflector.) <span class="highlight">For</span> each rigid motion: 1. Review the rigid motions described in the notes <span class="highlight">for</span> each section; each definition is followed by an example in the student notes. These examples
Ray definition (Coordinate Geometry)
and goes off in a particular direction to infinity, possibly through a second point. Try this Adjust the ray below by dragging an orange dot and see how the ray AB behaves. You can also drag the origin point at (0,0). A ray is a line that starts at a given point and goes off for ev...
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