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Curator of Classical4C

Procedure 23003 U2L2 Triangle by Specification

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[Composed by Mr. Quach for His Students]

GeoGebra Geometry | Geometry Book

Do All of the Following Tasks

Task 1 Keep This Procedure on the First Window
  1. Open the web browser Google Chrome using your computer.
  2. Create three different windows or browser tabs.
  3. On the first window, go to Mr. Quach’s teaching website Ri4C.com.
  4. Select the menu command Procedures at the top of the web page.
  5. Select the link taking you to this procedure, Procedure 23003.
Task 2 Keep GeoGebra Program on the Second Window
  1. On the second browser window, go to Mr. Quach’s teaching website Ri4C.com.
  2. Select the menu command GeoGebra at the top of the web page.
  3. Select a link to launch the program GeoGebra Geometry.
Task 3 Keep the Geometry Book on the Third Window
  1. On the third browser window, go to Mr. Quach’s teaching website Ri4C.com.
  2. Select the menu command Procedures at the top of the web page.
  3. Select the link taking you to the Online Geometry Book.
  4. Go to Unit 2 – Congruence.
  5. Go to Lesson 2 Congruent Parts, Part 2.
  6. You should have only three windows.
    • The first window is for the procedure in focus.
    • The second window is for the GeoGebra program.
    • The third window is for the online book.
  7. Close all other unnecessary windows to minimize confusion.
Task 4 Open the Toolbox on GeoGebra
  1. Go to the window for the Geometry book and take a quick look at section 2.2: Which Triangles Are Congruent?
    • Or see Appendix 3A below.
  2. Did you see the three green triangles as presented in Appendix 3A below? Let’s draw the bottom triangle (PQR) using GeoGebra.
  3. Go to the window for GeoGebra.
  4. Select the icon Tools on the left.
  5. Click on MORE to expand the toolbox.
  6. Scroll down to the bottom of the toolbox.
  7. Click on MORE again to expand the toolbox further.
Task 5 Get to Know GeoGebra the First Time

If you have never used GeoGebra before, do the following steps:

  1. Select the tool Circle with Center.
  2. Select two random points to draw a random circle.
  3. Select the tool Segment.
  4. Select two random points to draw a random segment outside of the circle.
  5. Select the tool Move, then move the segment inside the circle.
  6. Select the tool “Select Objects” under the toolbox section Edit.
  7. Draw a random point on the canvas to select all objects.
  8. Delete all objects by clicking on the Trashcan icon.
Task 6 Draw the First Segment 5.9 Cm from P to Q
  1. Scroll down to the section Lines in the toolbox.
  2. Select the tool Segment with the Given Length.
  3. Select a random point on the drawing board, and enter the length of 5.9.
  4. At the top of the toolbox, select Move.
  5. Drag point A around and see that the first line segment slides around without rotation.
  6. Drag point B around and see that the segment rotates around without sliding.
  7. Drag point B around and rotate the segment but only enough to make the segment slanted, as shown by the base (PQ) of the bottom triangle (PQR).
  8. Right-click on point A and rename it to point P using the Settings command on the context menu.
  9. Right-click on point B and rename it to point Q using the Settings command on the context menu.
Task 7 Draw a Circle with a 4.3 Cm Radius Around Point Q
  1. Scroll down to the section Circles in the toolbox.
  2. Select the tool Circle: Center & Radius.
  3. Select point Q and enter a radius of 4.3.
  4. You should expect that point R should be somewhere on the circle.
Task 8 Measure the Radius
  1. Scroll up to the section Points in the toolbox.
  2. Select the tool Intersect.
  3. Select the segment and the circle to produce the intersection point A.
  4. Rename point A to point X.
  5. At the top of the toolbox, select Move.
  6. Move the drawing board around so that you can clearly see everything.
  7. Use the scroll wheel on the mouse to zoom in or out as necessary.
  8. Notice that the distance between X and Q is 4.3, the radius specified earlier for the circle.
Task 9 Draw a Line Inclined by 46.6 Degrees from Segment PQ at P
  1. Scroll up or down to the section Measure in the toolbox.
  2. Select the tool Angle with Given Size.
  3. Select the leg point Q, the vertex P, and enter the 46.6 degrees.
  4. Notice that point image Q’ (Q-prime) appeared to show the creation of an angle of 46.6 degrees.
  5. Scroll up to the section Basic Tools in the toolbox.
  6. Select the tool Line.
  7. Select the two points P and Q’ (Q-prime).
Task 10 Draw the Segment from Point Q to Point R
  1. Scroll down to the section Points in the toolbox.
  2. Select the tool Intersect.
  3. Select the new line and the circle to produce two intersection points, A and B.
  4. Rename point A to point R.
  5. Scroll up to the section Basic Tools in the toolbox.
  6. Select the tool Segment.
  7. Select the two points, Q and R, to draw the segment.
  8. Notice you now have an outline of a triangle as shown in the book (PQR).
Task 11 Draw a Triangular Polygon
  1. Scroll up to the section Polygons in the toolbox.
  2. Select the tool Polygon.
  3. Select the three vertices P, Q, and R.
  4. Select the first vertex, P, to complete drawing the triangular polygon.
Task 12 Label the Triangle Using Your Full Name
  1. Scroll down to the section Media in the toolbox.
  2. Select the tool Text.
  3. Select a random point in the middle of the triangle.
  4. Enter your full name.
Task 13 Label the Distance on Each Side of the Triangle.
  1. Scroll up or down to the section Measure in the toolbox.
  2. Select the tool Distance or Length.
  3. Select the two points, P and Q, to show the distance in between.
  4. Select the two points, Q and R, to show the distance in between.
  5. Select the two points, R and P, to show the distance in between.
Task 14 Send Mr. Quach the Result
  1. You must place your full name on the drawing.
  2. Take a snapshot or photo of your work.
    • The result should look as shown in Appendix 3B below.
  3. Send the resulting image to Mr. Quach by email.
    • Click here for his email address.
  4. You should finish this procedure within 12 hours from when Mr. Quach asks you to begin.
Appendix 3A The Three Triangles in Section 2.2 of Lesson 2 of Unit 2

Appendix 3B Sample Result

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