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Congruent Segment Construction

Instructions

Step 1: Select the CIRCLE TOOL Toolbar Image to construct a circle with center A and radius AB.  (Select center point, then point on circle). Step 2: Duplicate circle A by selecting the COMPASS TOOL Toolbar Image located under the CIRCLE TOOL Toolbar Image.  Click on circle A to duplicate it, then click on point C to copy it to center C. Now we have two congruent circles, one with center A, and the other with center C.  Both have the same radius. Step 3: Use the INTERSECTION TOOL Toolbar Image to mark a point at the intersection of circle C and line C. (Click as close to the intersection as possible, or click on the circle, then the green line). We want to use the intersection tool here and not the point tool so it goes to the exact point we want. Step 4: Select the SEGMENT TOOL Toolbar Image located under the LINE TOOL Toolbar Image. Construct a segment between C and the new intersection point you created in step 3. (Click on C, then click on the new point). Step 5: If you did it correctly, a “Nailed it!” should pop up letting you know you did it right! Segment AB is congruent to the segment you created in Step 4. 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 segment on the green ray with endpoint C that is congruent to segment AB.

Practice #1 (You'll first need to draw a new ray like in the example above)

Practice #2