Use compass and ruler to draw on paper the construction described in the app below.
The following app is the same as the previous one, but now includes GeoGebra tools.
Explore the entire construction in the app above, then use the GeoGebra tools to measure the angle between line [math]AB[/math] and line [math]FG[/math] to verify the construction numerically.[br][br](Use the [i]Undo [/i]and [i]Redo [/i]buttons at the top right of the toolbar, or refresh the browser page to delete possible objects you have created but that are not useful or correct).
Consider the construction above and draw the segments [math]EC,CA,AF[/math] and [math]FE[/math]. The segment [math]CA[/math] is the ______________ of the circle passing through [math]C[/math] and [math]F[/math]. [br]What can you say about the lengths of the other segments that you have drawn? [br][br]What geometric shape is polygon [math]ECAF[/math]?[br]Why can we conclude that [math]CF[/math] is perpendicular to [math]AB[/math] ?
When are two intersecting lines said to be perpendicular?
Which symbol is used to indicate perpendicularity?
How many perpendicular lines to a given line pass through a point [i]P[/i] not on the given line?
Define the (orthogonal) projection of a segment onto a line, then draw the projections of the segments on the line in the figure below.[br][img]data:image/png;base64,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[/img][br]
Define the distance between a point and a line, then draw the distance between point [i]P[/i] and line [i]r[/i] in the figure below. [br][br][img]data:image/png;base64,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[/img][br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