Construct Me!
CONSTRUCT A COPY OF A SEGMENT
- Select the Segment tool
from the menu and create a segment to the right of segment AB (make sure its longer than AB) by clicking twice anywhere to the right of AB. Creating Segment CD.
- Select the Compass tool
: and select point B, then select point A. Click point C to center the circle at point C.
- Select the Intersect tool
from the menu and select the intersection created by the circle and segment CD, creating point E at the intersection. - Select the Distance or Length tool
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 to type your first and last name as well as your student ID.
SEGMENT BISECTOR / PERPENDICULAR BISECTOR CONSTRUCTION
- Select the Compass tool from the menu and select point A, then select point B. Click point A to center the circle at A.
- Select the Compass tool: and select point B, then select point A. Click point B to center the circle at B.
- Select the Intersect tool from the menu and select the two intersections created by the circles, creating points C and D at the intersections.
- Select the Segment tool from the menu and click on point C, then on point D. Creating an intersection of segment AB and segment CD.
- Select the Intersect 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 Distance or Length tool from the menu. Select point A and Point E. Select point B and E. Be sure the two measures are congruent.
- Use the text tool to type your first and last name as well as your student ID.
Construct an Angle Bisector
- Select the Circle with Center through Point
tool from menu. Click on point B and anywhere between point B and C. Creating point D on segment BC. - Select the Intersect tool from the menu. Select the circle created from step 1, and segment AB creating point E at the intersection.
- Select the Circle with Center through Point tool from the menu. Select point D then point E, creating a circle with a radius congruent to DE.
- Select the Circle with Center through Point tool from the menu. Select point E then point D, creating a circle with a radius congruent to DE.
- Select the Intersect
tool from the menu. Click the circles created from step 2 and 3, and creating point F and point G at the intersections.
- Select the Ray
tool from the menu. Click vertex B and either point G OR F. Creating Ray BG, or BF which bisects angle ABC. - Select the angle
tool from the menu. Click points D, then B, then F, creating angle DBF. - Select the angle 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.
Constructing Parallel Lines
- Select the line
tool from the menu. Click point A and anywhere below segment BC. - Select the intersect tool from the menu and select line AD and segment BC. Creating vertex E and angle CEA.
- Select the Circle with Center Though Point
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 intersect tool from the menu and select circle E then line AD. Creating point G between segment EA.
- Select the Compass tool from the menu and click vertex E, then point F, then click point A to center the circle at point A.
- Select the intersect tool from the menu and select circle A then line AD. Creating point I above point A.
- Select the Compass 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 intersect tool from the menu and select circle A, then circle I. Creating a points K and L at the intersections.
- Select the Line tool from the menu and click points A and K, creating line AK that is parallel to segment BC.
Process Questions:
1. How did you find the activity?
2. Were you able to construct all line segment and angle bisector, perpendicular and parallel lines correctly?
3. If not, what do you think is the hindering factor to it?
4. What do you think the importance of compass and straightedge in constructing segment and angle bisector, and constructing parallel and perpendicular lines?