5-29-25 Constructions with GeoGebra Day 1
Example 1: Copy segment AB.
Copy segment AB. Then, use the distance or length tool
to verify that your copied segment is congruent to segment AB.
to verify that your copied segment is congruent to segment AB. Example 2: Bisect segment CD.
Bisect segment CD. Then, use the distance or length tool and the angle tool 
to verify that you have constructed a perpendicular bisector
and the angle tool to verify that you have constructed a perpendicular bisector Example 3: Copy angle G.
Copy angle G on to ray m. Then, use the angle tool to verify that you have copied the angle
to verify that you have copied the angle Example 4: Bisect angle F.
Bisect angle F. Then, use the angle tool to verify that you have bisected the angle
to verify that you have bisected the angle Example 5: Construct a line through point P that is perpendicular to line t.
Example 6: Construct a line through point V that is parallel to line n.
*Hint, try copying an angle.
1. Construct a perpendicular line through point Z.
2. Construct a parallelogram such that segment AB and segment BC are two sides of the parallelogram.
3. Determine the circumcenter of triangle DEF.
Find the circumcenter of triangle DEF by constructing the perpendicular bisectors for all three sides of triangle DEF. 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.
*Hint, it is helpful to right click and hide some of your work along the way.
4. Determine the incenter of triangle JKL.
Determine the incenter of triangle JKL by constructing the three angle bisectors of triangle JKL. Then, construct a circle that is inscribed in triangle JKL, using the incenter.
5. Determine the centroid of triangle XYZ.
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.
6. Construct a copy of triangle DEF.
*Hint, draw a line first before you begin copying triangle DEF.
7. Construct a square such that segment AB is one of the sides of the square.
8. Construct a square such that DE is one of the diagonals.
9. Construct an equilateral triangle
Construct an equilateral triangle such that segment LM is one of the sides.
10. Inscribe a hexagon in the circle below.
*Start by plotting a point on the circle, then constructing a circle through that point that is congruent to the original circle.