5-29-25 Constructions with GeoGebra Day 1

[b]Example 1: Copy segment [i]AB[/i]. [/b][br]Copy segment [i]AB. [/i]Then, use the distance or length tool[icon]/images/ggb/toolbar/mode_distance.png[/icon] to verify that your copied segment is congruent to segment [i]AB[/i].
[b]Example 2: Bisect segment [i]CD[/i]. [/b][br]Bisect segment [i]CD. [/i]Then, use the distance or length tool[icon]/images/ggb/toolbar/mode_distance.png[/icon] and the angle tool [icon]/images/ggb/toolbar/mode_angle.png[/icon] to verify that you have constructed a perpendicular bisector
[b]Example 3: Copy angle [i]G. [/i][/b][br]Copy angle [i]G[/i] on to ray [i]m. [/i]Then, use the angle tool [icon]/images/ggb/toolbar/mode_angle.png[/icon] to verify that you have copied the angle
[b]Example 4: Bisect angle [i]F[/i]. [/b][br]Bisect angle [i]F. [/i]Then, use the angle tool [icon]/images/ggb/toolbar/mode_angle.png[/icon] to verify that you have bisected the angle
[b]Example 5: Construct a line through point [i]P[/i] that is perpendicular to line [i]t. [/i][/b][br]
[b]Example 6: Construct a line through point [i]V[/i] that is parallel to line [i]n. [/i][/b][br]*Hint, try copying an angle.
[b]1. Construct a perpendicular line through point [i]Z.[/i][/b]
[b]2. Construct a parallelogram such that segment [i]AB[/i] and segment [i]BC [/i]are two sides of the parallelogram.[/b]
[b]3. Determine the circumcenter of triangle [/b][i][b]DEF.[/b][br][/i]Find the circumcenter of triangle DEF by constructing the perpendicular bisectors for all three sides of triangle [i]DEF. [/i]Then, draw a segment from each vertex to the centroid and measure their length to verify that the circumcenter is equal in distance from each vertex.[br]*Hint, it is helpful to right click and hide some of your work along the way.
[b]4. Determine the incenter of triangle [/b][i][b]JKL.[br][/b][/i]Determine the incenter of triangle [i]JKL [/i]by constructing the three angle bisectors of triangle [i]JKL[/i]. Then, construct a circle that is inscribed in triangle [i]JKL[/i], using the incenter.
[b]5. Determine the centroid of triangle [/b][i][b]XYZ[/b].[/i][br]Construct the centroid of triangle XYZ by determining the midpoint of each side; then drawing a line from each midpoint to it's opposite vertex.
[b]6. Construct a copy of triangle [i]DEF.[br][/i][/b]*Hint, draw a line first before you begin copying triangle [i]DEF[/i].
[b]7. Construct a square such that segment [i]AB [/i]is one of the sides of the square. [/b]
[b]8. Construct a square such that [i]DE[/i] is one of the diagonals. [/b]
[b]9. Construct an equilateral triangle [br][/b]Construct an equilateral triangle such that segment [i]LM[/i] is one of the sides.
[b]10. Inscribe a hexagon in the circle below. [br][/b]*Start by plotting a point on the circle, then constructing a circle through that point that is congruent to the original circle.

Information: 5-29-25 Constructions with GeoGebra Day 1