1-8/1-9 Constructions
Completing basic constructions with added practice and challenge problems. Work through each of the basic constructions listed below (or to the left). When you're done, you can try the challenge questions.
Table of Contents
- Basic Constructions
- Congruent Segment Construction
- Perpendicular Bisector Construction
- Angle Bisector Construction
- Congruent Angle Construction
- Challenge Questions
- Angle 45° Construction
- Angle 135° Construction
- Angle 22.5° Construction
- Construct a segment twice the length
Congruent Segment Construction
Instructions
[size=85][b]Step 1:[/b] Select the CIRCLE TOOL [icon]/images/ggb/toolbar/mode_circle2.png[/icon] to construct a circle with center A and radius AB. (Select center point, then point on circle).[br][b]Step 2:[/b] Duplicate circle A by selecting the COMPASS TOOL [icon]/images/ggb/toolbar/mode_compasses.png[/icon] located under the CIRCLE TOOL [icon]/images/ggb/toolbar/mode_circle2.png[/icon]. Click on circle A to duplicate it, then click on point C to copy it to center C.[br][br][i]Now we have two congruent circles, one with center A, and the other with center C. Both have the same radius.[/i][br][br][b]Step 3: [/b]Use the INTERSECTION TOOL [icon]/images/ggb/toolbar/mode_intersect.png[/icon] 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.[br][b]Step 4:[/b] Select the SEGMENT TOOL [icon]/images/ggb/toolbar/mode_segment.png[/icon] located under the LINE TOOL [icon]/images/ggb/toolbar/mode_join.png[/icon]. [br]Construct a segment between C and the new intersection point you created in step 3. (Click on C, then click on the new point).[br][b]Step 5:[/b] If you did it correctly, a “Nailed it!” should pop up letting you know you did it right![br][br][i]Segment AB is [b]congruent[/b] to the segment you created in Step 4.[/i][br][br]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.[/size]