#2: Snow Day (Thursday) Basic Constructions
#1 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 and not connected to AB). Creating Segment CD.
- Select the Compass tool
: Create a circle C with Radius AB. To do this, select point B, then select point A, then 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 C and segment CD, creating point E at the intersection. - Select the Distance or Length tool
from the menu. Measure the length of AB and CE. To do this 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 name, and then continue on to the next Construct.
#2 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 favorite ice cream flavor, and then continue on to the next construct.
#3 Construct a Congruent Angle
- Select the Compass tool from the menu and select vertex B, then select point C. Click point B to center the circle at B.
- Select the Intersect tool from the menu and select the circle created in step 1, and segment BA, creating point F at the intersection.
- Select the Compass tool from the menu and select vertex B, then select point C. Click point D to center the circle at D.
- Select the Intersect tool from the menu and select the circle centered at D and the ray DE, creating point G at the intersection.
- Select the Compass tool from the menu and select point C, then select point F. Click point C to center the circle at C.
- Select the Compass tool from the menu and select point C, then select point F. Click point G to center the circle at G.
- Select the Intersect tool from the menu and click on circle D and circle G. Creating point H at the intersection of the two circles.
- Select the Ray 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 congruent.
- Use the text tool to type your favorite color, and then continue on to the next construct.
#4 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.
- Use the text tool to type your favorite Math Teacher this year ;p, and then continue on to the next construct.
#5 Construct Perpendicular Lines Through a Point ON the Line/Segment
- Select the Circle with Center Through Point
tool from the menu and select point A on segment BC then click somewhere below segment BC, creating circle A. *** the circle's radius should NOT extend past point B***. - Select the Intersect tool from the menu and select circle A and segment BC creating points E and F on segment BC.
- Select the Circle with Center Through Point tool from the menu and select point E, then point F, creating circle E.
- Select the Circle with Center Through Point tool from the menu and select point F, then point E, creating circle F.
- Select the Intersect tool from the menu and select circle E and circle F creating points G and H at the intersections of the two circles.
- Select the Line
tool from the menu and click on points G and H to create a line perpendicular to segment BC that passes through point A. - Select the Angle tool from the menu and select point F, Vertex A, and point G. Verify that angle GAF is exactly 90º.
- Use the text tool to type your favorite snow day activity, and then continue on to the next construct.
#6 Construct Perpendicular Lines Through a Point NOT on the Line/Segment
- Select the Circle with Center Through Point tool from the menu and select point A on segment BC then click somewhere below segment BC, creating circle A that intersects BC in two places.
- Select the Intersect tool from the menu and select circle A and segment BC creating points E and F on segment BC.
- Select the Circle with Center Through Point tool from the menu and select point E, then point F, creating circle E.
- Select the Circle with Center Through Point tool from the menu and select point F, then point E, creating circle F.
- Select the Intersect tool from the menu and select circle E and circle F creating points G and H at the intersections of the two circles.
- Select the Line
tool from the menu and click on points G and H to create a line perpendicular to segment BC that passes through point A. - Select the Intersect tool from the menu and select Line GH and segment BC creating point I.
- Select the Angle
tool from the menu and select point F, point I, and point G. Verify that angle FIG is exactly 90º. - Use the text tool to type your least favorite thing about snow days, and then continue on to the next construct.
#7 Construction of an Inscribed Equilateral Triangle
- Select the Point
tool from the menu and select anywhere on circle A. - Select the Circle with Center Through Point tool from the menu and click point B, then point A. Creating a circle with radius AB, centered at point B. This creates two intersections, click one of the two intersections (with the tool still selected) then point A, creating a congruent circle to circle B. Repeat the process, creating points C, D, E, F and G as you go completely around circle A in clockwise order.
- Select the Polygon
tool from the menu and select points, B, D, F, and B again. - Select the angle tool from the menu and select point F, then B, then D. Repeat with points B, D, and F, and points D, F, and B. Confirm that each angle measures 60º.
- Select the Distance or Length tool from the menu and click points B, then D, and point D, then F, and point F then B. Confirm that each side length is congruent.
- Use the text tool to type what you will do now that you are done, and then submit.