Procedure 23005 U2L5 Zig Then Zag

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[Composed by Mr. Quach for His Students]

GeoGebra Geometry | Geometry Book

• Table of Contents | In-class Geometry Book
  • Unit 2 – Congruence
    • Online Book: LESSON 5 – Points, Segments, and Zigzags
      • Page 219 U2 Activity 5.3 Zig Then Zag

Introduction

You should know how to use the program GeoGebra Geometry by now. If you do not know how to use GeoGebra Geometry, you should first do Procedure 23003. It has a dozen tasks, each with a dozen steps. After you take all steps in Procedure 2300, you should know how to use the program GeoGebra Geometry well enough to do this procedure by carrying out all of the following tasks.

Do all tasks presented below. Take all steps listed under every task.

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 23005.

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 5 – Points, Segments, and Zigzags.
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 Draw Two Zigzags as Specified Below

1. Take a closer look at section 5.3 in Lesson 5; see Appendix 5B below.
2. Look at the first zigzag, which is figure QRS.
3. Look at the second zigzag, which is figure XYZ.
4. You must use GeoGebra to draw both figures, QRS and XYZ, as specified below. Each figure is a zigzag.
   • Points R, S, and Y must be on the same horizontal line. (5 points)
   • Segment XY must be perpendicular to the line running through points S and Y. (5 points)
   • Angle QRS must be congruent to angle XYZ. (5 points)
   • Segment QR must be congruent to segment XY. (5 points)
   • Segment RS must be congruent to segment YZ. (5 points)
   • Label the length of each of the four segments QR, RS, XY, and YZ. (20 points).
   • Label the angle in both figures. (10 points)
5. Make 55 points by doing as asked in the drawing specification of the previous step.
   • That’s the sum of all the black points above.
6. Place your name on the right of the figures.

Task 5 Draw Five Polygons Below the Two Zigzags

1. Do the following steps after you send the above result to Mr. Quach and make 55 points first.
2. Make 45 more points for this procedure by doing the following steps using GeoGebra.
3. Draw five different polygons in a row. (5 points)
4. Place your name below of row of five polygons.
5. Read Appendix 5A below; it has five statements about the two zigzags presented in Section 5.3; when in the correct order, they make up a proof about the two zigzags.
6. In the correct order, statement S1 should be in the fifth position; write S1 in the last polygon.
7. Where should S2, S3, S4, and S5 be in the remaining four polygons? Read, think, and rearrange the order of the list in Appendix 5A below.
8. Write the answer by placing S2, S3, S4, and S5 in the remaining four polygons; ask your classmates to help you.
9. Make 10 points by placing S2 in the correct polygon.
10. Make 10 points by placing S3 in the correct polygon.
11. Make 10 points by placing S4 in the correct polygon.
12. Make 10 points by placing S5 in the correct polygon.
13. Make 100 points by doing the above steps correctly, as specified above.
    • That’s the sum of all the green points above.

Task 6 Send Mr. Quach the Result

1. You must place your full name on the drawing.
2. Take a snapshot or photo of your work.
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 5A The Five Sentences S1, S2, S3, S4, and S5

Appendix 5B Section 5.3 of LESSON 5 – Points, Segments, and Zigzags

• Table of Contents | In-class Geometry Book
  • Unit 2 – Congruence
    • Online Book: LESSON 5 – Points, Segments, and Zigzags
      • Page 219 U2 Activity 5.3 Zig Then Zag

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