Google Classroom
GeoGebraClasse GeoGebra

Congruent Angle Construction

Instructions

Step 1: Use the CIRCLE TOOL Toolbar Image to construct a circle with center A that intersects both sides of the angle. Step 2: Use the COMPASS TOOL Toolbar Image to duplicate this circle and place it at center D. Step 3: Use the INTERSECTION TOOL Toolbar Image to mark both intersections of the first circle and angle A, these will be labeled K and L. Then mark the intersection of line D and circle D. This will be labeled M. Step 4: Use the COMPASS TOOL Toolbar Image to create a circle with radius KL (click on K, then L) then place this circle on center M. In Step 4, you are "measuring" the opening of the angle and duplicating it on your new angle. Step 5: Use the INTERSECTION TOOL Toolbar Image to mark the intersection of circle D and circle M. This will be labeled N. Step 6: Use the RAY TOOL Toolbar Image to create a ray from point D to point N. If you did it correctly, a “Nailed it!” should pop up letting you know you did it right! Angle D is congruent to angle A. After you complete the example, work on the practice. These will not let you know if you've done them correctly. I will be checking on my computer.

Construct a ray with endpoint D to create an angle that is congruent to angle A.

Practice #1

Practice #2