Summarize the properties and construction of perpendicular lines, points, and circles.[br][br][u]Hint[/u]: If you are not familiar with the steps necessary for constructing a perpendicular line through a point on that line, you might want to explore the applet below. Just use the buttons of the [i]Navigation[/i][i] Bar[/i] in order to replay the construction steps.

[size=100][table][tr][td][size=100]1.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_point.png[/icon][/size][/td][td][size=100][size=100][size=100][size=100]Construct another on line AB. [br](point D)[/size][/size][/size][/size][/td][td][br][/td][td][size=100]5.[/size][/td][td][size=100][img]data:image/png;base64,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[/img][/size][/td][td][size=100][size=100][size=100][size=100]Construct a circle with the center at point E and radius of g+.5. (circle d)[/size][/size][/size][/size][/td][/tr][tr][td][size=100][/size][/td][td][size=100]Hint:[/size][/td][td][size=100][size=100][size=100]Be sure to test that when you move point D it stays attached to line AB.[/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][/size][br][/size][/td][td][br][/td][td][size=100]6.[/size][/td][td][size=100][img]data:image/png;base64,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[/img][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle with the center at point D and radius of g+.5. (circle e)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][/tr][tr][td][size=100][size=100][size=100]2.[/size][/size][/size][/td][td][size=100][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon][/size][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct a circle centered at C [i]and through point D[/i]. (Circle c)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][td][br][/td][td][size=100]7.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct the intersection points between circles d & e. [br](points F & G)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/size][/td][td][size=100]Construct the intersection point between circle c and line AB. [br](point E)[br][/size][/td][td][size=100][br][/size][/td][td]8.[br][/td][td][size=100][size=100][size=100][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_join.png[/icon][/size][/size][/size][/size][/td][td][size=100][/size][size=100][size=100][size=100][size=100][size=100][size=100][/size][/size][/size][/size][/size][/size][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100][size=100]Construct[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][i] line GF[/i]. (line h)[/size][/size][/size][/size][/size][/size][/size][/size][/size][/size][br][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][icon]https://wiki.geogebra.org/uploads/thumb/0/0c/Mode_segment.svg/120px-Mode_segment.svg.png[/icon][/size][/td][td][size=100]Construct a segment from point C to D. (segment g)[/size][/td][td][br][/td][td][size=100][/size][/td][td][size=100][icon]https://wiki.geogebra.org/uploads/thumb/0/0c/Mode_segment.svg/120px-Mode_segment.svg.png[/icon][/size][/td][td][size=100]You can construct segment EF and FD to explore their relationship.[/size][/td][/tr][/table][/size]