In this activity, you will be doing constructions you can do with compass and a straightedge but you will use technology (Geogebra) to perform your constructions.

1) Using the [color=#0000ff][b]compass[/b][/color] tool, create a circle with radius length AB.[br]2) Drag the circle onto ray CD, with point C as the center.[br]3) Using the [b][color=#0000ff]intersect[/color][/b] tool, mark the intersection of your circle and ray CD, as point E[br]4) Using the [b][color=#0000ff]segment[/color][/b] tool, mark the segment CE[br]Segment AB is congruent to segment CE[br]

Use the same steps as above create a congruent segment to segment AB.[br]

Use the same steps as above create a congruent segment to segment AB.[br]

1) Using the [color=#0000ff][b]Compass[/b] [/color]tool, draw a circle with center A and radius AB[br]2) Using the [color=#0000ff][b]Compass[/b][/color] tool, draw a circle with center B and radius AB[br]2) Using the [b][color=#0000ff]Line[/color][/b] tool, draw line CD through the [i]two[/i] intersections of the circles[br]3) Using the [b][color=#0000ff]Intersection[/color][/b] tool, mark the intersection of line CD as E[br]Line CD intersects line AB at its midpoint, therefore, line CD is the bisector of segment AB, It is also perpendicular!

Follow the same steps as above to construct the midpoint and perpendicular bisector of the given segment.

Follow the same steps as above to construct the midpoint and perpendicular bisector of the given segment.

1) Using the tool [b][color=#0000ff]Circle with center through a point[/color][/b], construct a circle with Center C, such that the radius is[i] longer [/i]than the distance from point C to line AB[br]2) Using the [color=#0000ff][b]Intersection[/b] [/color]tool, mark the [i]two[/i] intersections of your circle and the line as E and F.[br]3) Follow the same steps from the Midpoint/Perpendicular Bisector Tasks to construct the perpendicular bisector of line segment EF.[br]You have constructed a line perpendicular to line AB, through point C[br][br]

Follow the same steps as above to construct a line perpendicular to a given line through a point not on the line.

Follow the same steps as above to construct a line perpendicular to a given line through a point not on the line.

1) Using the tool [b][color=#0000ff]Circle with center through a point[/color][/b], construct a circle with Center C[br]2) Using the [color=#0000ff][b]Intersection[/b] [/color]tool, mark the [i]two[/i] intersections of your circle and the line as E and F.[br]3) Follow the same steps from the Midpoint/Perpendicular Bisector Tasks to construct the perpendicular bisector of line segment EF.[br]You have constructed a line perpendicular to line AB, through point C[br][br]

Follow the same steps as above to construct a line perpendicular to a given line through a point not on the line.

Follow the same steps as above to construct a line perpendicular to a given line through a point not on the line.

1) Using the [b][color=#0000ff]Compass[/color][/b] tool, construct circle B with radius BC. [br] 1a) Click so this circle stays in place.[br] 1b) Using the [b][color=#0000ff]Intersection[/color][/b] tool, mark the intersection of circle B and ray BA as point F[br] 1b) Create a copy of circle B by clicking on the edge of it[br]3) Bring circle B to point D, making D the center of the circle.[br]4) Using the [color=#0000ff][b]Intersection[/b] [/color]tool, mark the intersection of circle D and line DE as G[br]6) Using the [b][color=#0000ff]Compass[/color][/b] tool, construct circle C with radius CF.[br]7) Bring circle F to ray DE making G the new center of the circle.[br]8) Using the [color=#0000ff][b]Intersection[/b] [/color]tool, mark [i]one[/i] intersection of your two circles on ray DE as point H[br]9) Using the [b][color=#0000ff]Ray[/color][/b] tool, construct a ray from point D through point H.[br]You have now constructed an angle congruent to angle ABC

Follow the same steps as above to construct an angle congruent to angle ABC

Follow the same steps as above to construct an angle congruent to angle ABC

1) Using the [color=#0000ff][b]Circle through a point[/b] [/color]tool, construct Circle B such that it crosses ray BA and ray BC[br]2) Using the [color=#0000ff][b]Intersection[/b] [/color]tool, mark the intersection of circle B and ray BA as D and the intersection of circle B and ray BC as E[br]3) Follow the same steps from the Midpoint/Perpendicular Bisector Tasks, construct the bisector of arc DE the same as you would a segment.

Follow the same steps as above to construct an angle bisector