[b][i][u][color=#0000ff][size=200]In the first activity, construct a plane that passes through points A, B, and D.[br][/size][/color][/u][/i][/b][br]definitions/distinctions: [color=#9900ff]Parallel and skew lines share the characteristic that they both are pairs of lines that [/color][color=#6aa84f]do not intersect[/color][color=#9900ff]. The difference is that parallel lines [/color][color=#6aa84f]do not intersect[/color][color=#9900ff] and [/color][color=#4c1130]are contained on the same plane[/color][color=#9900ff]. Skew lines [/color][color=#38761d]do not intersect[/color][color=#9900ff] but [/color][color=#4c1130]cannot be contained on the same plane[/color][color=#9900ff]. [br][br][/color]Now construct plane ABD by using the [b][i][u][color=#0000ff][size=200][icon]https://www.geogebra.org/images/ggb/toolbar/mode_planethreepoint.png[/icon][/size][/color][/u][/i][/b] tool. [br][br]Change the view by using the [icon]/images/ggb/toolbar/mode_rotateview.png[/icon] tool.[br][br]

[color=#0000ff][b][i][u][size=150][size=200]In the second activity, construct a plane that passes through points A, B, and E.[br][/size][/size][/u][/i][/b][/color][br]

Construct a line parallel to line AB through point F. Drag the diagram around to see all three lines parallel to each other.

Construct line GF. See the relationship between the three lines. It may be helpful to hide the plane you created to see the skew lines.

definitions/distinctions: [color=#9900ff]Parallel and skew lines share the characteristic that they both are pair of lines that [/color][color=#6aa84f]do not intersect[/color][color=#9900ff]. The difference is that parallel lines [/color][color=#6aa84f]do not intersect[/color][color=#9900ff] and [/color][color=#4c1130]are contained on the same plane[/color][color=#9900ff]. Skew lines [/color][color=#38761d]do not intersect[/color][color=#9900ff] but [/color][color=#4c1130]cannot be contained on the same plane[/color][color=#9900ff].[/color]