Successfully complete all constructions for full credit.

[u][b][i]#1 CONSTRUCT A COPY OF A LINE SEGMENT[br][/i][/b][br][/u][list=1][*][b][/b]Select the[b] [/b][b][i][u]Segment[/u][/i][/b] tool [icon]/images/ggb/toolbar/mode_segment.png[/icon]from the menu and create a segment to the right of segment AB[b] (make sure its longer than AB)[/b] by clicking twice anywhere to the right of AB. Creating Segment CD.[b][br][/b][/*][*]Select the [b][i][u]Compass[/u][/i][/b] tool[icon]/images/ggb/toolbar/mode_compasses.png[/icon]:  and select point B, then select point A. Click point C to center the circle at point C.[br][/*][*]Select the [b][i][u]Intersect[/u][/i][/b] tool [icon]/images/ggb/toolbar/mode_intersect.png[/icon] from the menu and select the intersection created by the circle and segment CD, creating point E at the intersection.[/*][*]Select the [u][b][i]Distance or Length[/i][/b][/u] tool [icon]/images/ggb/toolbar/mode_distance.png[/icon]from the menu. Select points A and B, then select points C and E. Be sure the two measures are congruent. [/*][*]Use the text tool [icon]https://www.geogebra.org/images/ggb/toolbar/mode_text.png[/icon] to type your first and last name.[/*][/list]

[b][i][u]#2 SEGMENT BISECTOR / PERPENDICULAR BISECTOR CONSTRUCTION[br][/u][/i][/b][list=1][*]Select the [b][u][i]Compass[/i][/u][/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_compasses.png[/icon]tool from the menu and select point A, then select point B. Click point A to center the circle at A.[/*][*]Select the [b][i][u]Compass[/u][/i][/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_compasses.png[/icon]tool and select point B, then select point A. Click point B to center the circle at B.[/*][*]Select the [b][i][u]Intersect[/u][/i][/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon]tool from the menu and select the two intersections created by the circles, creating points C and D at the intersections.[/*][*]Select the [b][i][u]Segment[/u][/i][/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_segment.png[/icon]tool from the menu and click on point C, then on point D. Creating an intersection of segment AB and segment CD. [/*][*]Select the [b][i][u]Intersect[/u][/i][/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon]tool from the menu and click on the intersection of segment AB and CD. Creating point E. **Point E is the midpoint of segment AB and Segment CD. **[/*][*]Select the [b][u][i]Distance or Length[/i][/u][/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_distance.png[/icon]tool from the menu. Select point A and Point E. Select point B and E. Be sure the two measures are congruent. [/*][/list]

[b][i][u]#3 CONSTRUCT A CONGRUENT ANGLE[br][/u][/i][/b][list=1][*]Select the [b][u][i]Compass[/i][/u][/b] [icon]/images/ggb/toolbar/mode_compasses.png[/icon]tool from the menu and select [b][u][i]vertex[/i][/u][/b] B, then select point C. Click point B to center the circle at B.[/*][*]Select the [b][i][u]Intersect[/u][/i][/b] [icon]/images/ggb/toolbar/mode_intersect.png[/icon]tool from the menu and select the circle created in step 1, and segment BA, creating point F at the intersection.[/*][*]Select the [b][u][i]Compass[/i][/u][/b] [icon]/images/ggb/toolbar/mode_compasses.png[/icon]tool from the menu and select [b][u][i]vertex[/i][/u][/b] B, then select point C. Click point D to center the circle at D. [/*][*]Select the [b][i][u]Intersect[/u][/i][/b] [icon]/images/ggb/toolbar/mode_intersect.png[/icon]tool from the menu and select the circle centered at D and the ray DE, creating point G at the intersection.[/*][*]Select the [b][u][i]Compass[/i][/u][/b] [icon]/images/ggb/toolbar/mode_compasses.png[/icon]tool from the menu and select [i]point[b] [/b]C[/i], then select point F. Click point C to center the circle at C.[/*][*]Select the [b][u][i]Compass[/i][/u][/b] [icon]/images/ggb/toolbar/mode_compasses.png[/icon]tool from the menu and select [i]point[b] [/b]C[/i], then select point F. Click point G to center the circle at G. [/*][*]Select the [b][i][u]Intersect[/u][/i][/b] [icon]/images/ggb/toolbar/mode_intersect.png[/icon]tool from the menu and click on circle D and circle G. Creating point H at the intersection of the two circles. [/*][*]Select the [b][u][i]R[/i][/u][/b][b][u][i]ay[/i][/u] [u][icon]/images/ggb/toolbar/mode_ray.png[/icon][/u][/b][b] [/b]tool from the menu and click points D and then point H. Creating ray DH. [/*][*]Measure the angle using the angle tool from the menu by selecting the angle tool from the menu, clicking point G, then vertex D, then point H. Make sure the measures of angle B and angle D are the same.[/*][/list]

[b][i][u]#4 CONSTRUCT AN ANGLE BISECTOR[/u][/i][/b][list=1][*]Select the [b][u][i]Circle with Center through Point[/i][/u][/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon]tool from menu. Click on point B and anywhere between point B and C. Creating point D on segment BC. [/*][*]Select the [b][i][u]Intersect[/u][/i][/b] [icon]/images/ggb/toolbar/mode_intersect.png[/icon]tool from the menu. Select the circle created from step 1, and segment AB creating point E at the intersection. [/*][*]Select the [b][u][i]Circle with Center through Point[/i][/u][/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon] tool from the menu. Select point D then point E, creating a circle with a radius congruent to DE. [/*][*]Select the [b][u][i]Circle with Center through Point[/i][/u][/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon] tool from the menu. Select point E then point D, creating a circle with a radius congruent to DE.[br][/*][*]Select the [b][i][u]Intersect[/u][/i][/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon]tool from the menu. Click the circles created from step 2 and 3, and creating point F and point G at the intersections.[br][/*][*]Select the [b][i][u]Ray[icon]/images/ggb/toolbar/mode_ray.png[/icon][/u][/i][/b] tool from the menu. Click vertex B and either point G OR F. Creating Ray BG, or BF which bisects angle ABC.[/*][*]Select the [b][i][u]angle[/u][/i][/b] [icon]/images/ggb/toolbar/mode_angle.png[/icon]tool from the menu. Click points D, then B, then F, creating angle DBF. [/*][*]Select the [b][i][u]angle[/u][/i][/b] [icon]/images/ggb/toolbar/mode_angle.png[/icon]tool from the menu. Click points F, then B, then E, creating angle FBE.[/*][*]Compare angles DBF and FBE to make sure they're congruent. [/*][/list]

[u][i][b]#5 CONSTRUCTING PARALLEL LINES[br][/b][/i][/u][list=1][*]Select the [b][i][u]line[/u][/i][/b] [icon]/images/ggb/toolbar/mode_join.png[/icon]tool from the menu. Click point A and anywhere below segment BC. [/*][*]Select the [b][i][u]intersect[/u][/i][/b] [icon]/images/ggb/toolbar/mode_intersect.png[/icon]tool from the menu and select line AD and segment BC. Creating vertex E and angle CEA. [/*][*]Select the [b][i][u]Circle with Center Though Point[/u][/i][/b] [icon]/images/ggb/toolbar/mode_circle2.png[/icon]tool from the menu. Click on vertex E and anywhere between points E and C on segment BC creating point F. *be sure that the circle created does not go beyond point A. [/*][*]Select the [u][i][b]intersect[/b][/i][/u] [icon]/images/ggb/toolbar/mode_intersect.png[/icon]tool from the menu and select circle E then line AD. Creating point G between segment EA.[br][/*][*]Select the [b][u][i]Compass[/i][/u][/b] [icon]/images/ggb/toolbar/mode_compasses.png[/icon]tool from the menu and click vertex E, then point F, then click point A to center the circle at point A. [/*][*]Select the [u][i][b]intersect[/b][/i][/u] [icon]/images/ggb/toolbar/mode_intersect.png[/icon]tool from the menu and select circle A then line AD. Creating point I above point A.[br][/*][*]Select the [b][u][i]Compass[/i][/u][/b] [icon]/images/ggb/toolbar/mode_compasses.png[/icon]tool from the menu and click point G, then point F, then click point I to center the circle at point I and create an intersection of circle A and circle I. [/*][*]Select the [i][b][u]intersect[/u] [u][icon]/images/ggb/toolbar/mode_intersect.png[/icon][/u][/b][/i] tool from the menu and select circle A, then circle I. Creating a points K and L at the intersections. [/*][*]Select the[b][i] [u]Line[/u] [icon]/images/ggb/toolbar/mode_join.png[/icon] [/i][/b]tool from the menu and click points A and K, creating line AK that is parallel to segment BC. [/*][/list]

[b][u][i]#6 CONSTRUCT A PERPENDICULAR BISECTOR OF A LINE SEGMENT[br][/i][/u][/b][list=1][*]Select the [b][u][i]Circle with Center Through Point[/i][/u][/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon]tool from the menu and select point B, then point C, creating a circle.[br][/*][*]Select the [b][u][i]Circle with Center Through Point[/i][/u][/b] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon]tool from the menu and select point C, then point B, creating another circle.[br][/*][*]Select the [u][i][b]Intersect[/b][/i][/u] [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon] tool from the menu and select the two points of intersection of the circles. Label them D and E. [/*][*]Select the [i]Line[/i] [icon]/images/ggb/toolbar/mode_join.png[/icon] tool from the menu and click on points D and E to create a line perpendicular to segment BC that passes through the midpoint of BC. Name the midpoint A.[/*][*]Select the [u][b][i]Angle[/i][/b][/u] [icon]/images/ggb/toolbar/mode_angle.png[/icon] tool from the menu and select point D, Vertex A, and point C. Verify that angle DAC is exactly 90º. [/*][/list]