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[Composed by Mr. Quach for His Students]

GeoGebra Geometry | Geometry Book

- Table of Contents | In-class Geometry Book

## Do All of the Following Tasks

##### Task 1 Keep This Procedure on the First Window

- Open the web browser Google
**Chrome**using your computer. - Create three different
**windows**or browser tabs. - On the first window, go to Mr. Quach’s teaching website Ri4C.com.
- Select the menu command Procedures at the top of the web page.
- Select the link taking you to this procedure, Procedure 23003.

##### Task 2 Keep GeoGebra Program on the Second Window

- On the second browser window, go to Mr. Quach’s teaching website Ri4C.com.
- Select the menu command GeoGebra at the top of the web page.
- Select a link to launch the program GeoGebra Geometry.

##### Task 3 Keep the Geometry Book on the Third Window

- On the third browser window, go to Mr. Quach’s teaching website Ri4C.com.
- Select the menu command Procedures at the top of the web page.
- Select the link taking you to the Online Geometry Book.
- Go to Unit 2 – Congruence.
- Go to
**Lesson 2 Congruent Parts, Part 2**. - 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**.

- The first window is for the
- Close all other unnecessary windows to minimize confusion.

##### Task 4 Open the Toolbox on GeoGebra

- 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.

- Did you see the three green triangles as presented in Appendix 3A below? Let’s draw the bottom triangle (PQR) using GeoGebra.
- Go to the window for GeoGebra.
- Select the icon
**Tools**on the left. - Click on
**MORE**to expand the toolbox. - Scroll down to the bottom of the toolbox.
- 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:

- Select the tool
**Circle with Center**. - Select two random points to draw a random circle.
- Select the tool
**Segment**. - Select two random points to draw a random segment outside of the circle.
- Select the tool
**Move**, then move the segment inside the circle. - Select the tool “
**Select Objects**” under the toolbox section**Edit**. - Draw a random point on the canvas to select all objects.
- Delete all objects by clicking on the
**Trashcan**icon.

##### Task 6 Draw the First Segment 5.9 Cm from P to Q

- Scroll down to the section
**Lines**in the toolbox. - Select the tool
**Segment with the Given Length**. - Select a random point on the drawing board, and enter the length of
**5.9**. - At the top of the toolbox, select
**Move**. - Drag point
**A**around and see that the first line segment slides around without rotation. - Drag point
**B**around and see that the segment rotates around without sliding. - 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). - Right-click on point
**A**and rename it to point**P**using the Settings command on the context menu. - 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

- Scroll down to the section
**Circles**in the toolbox. - Select the tool
**Circle: Center & Radius**. - Select point
**Q**and enter a radius of**4.3**. - You should expect that point
**R**should be somewhere on the circle.

##### Task 8 Measure the Radius

- Scroll up to the section
**Points**in the toolbox. - Select the tool
**Intersect**. - Select the segment and the circle to produce the intersection point
**A**. - Rename point
**A**to point**X**. - At the top of the toolbox, select
**Move**. - Move the drawing board around so that you can clearly see everything.
- Use the scroll wheel on the mouse to zoom in or out as necessary.
- 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

- Scroll up or down to the section
**Measure**in the toolbox. - Select the tool
**Angle with Given Size**. - Select the leg point
**Q**, the vertex**P**, and enter the 46.6 degrees. - Notice that point image
**Q’**(Q-prime) appeared to show the creation of an angle of 46.6 degrees. - Scroll up to the section
**Basic Tools**in the toolbox. - Select the tool
**Line**. - Select the two points
**P**and**Q’**(Q-prime).

##### Task 10 Draw the Segment from Point Q to Point R

- Scroll down to the section
**Points**in the toolbox. - Select the tool
**Intersect**. - Select the new line and the circle to produce two intersection points,
**A**and**B**. - Rename point
**A**to point**R**. - Scroll up to the section
**Basic Tools**in the toolbox. - Select the tool
**Segment**. - Select the two points,
**Q**and**R**, to draw the segment. - Notice you now have an outline of a triangle as shown in the book (PQR).

##### Task 11 Draw a Triangular Polygon

- Scroll up to the section
**Polygons**in the toolbox. - Select the tool
**Polygon**. - Select the three vertices
**P**,**Q**, and**R**. - Select the first vertex,
**P**, to complete drawing the triangular polygon.

##### Task 12 Label the Triangle Using Your Full Name

- Scroll down to the section
**Media**in the toolbox. - Select the tool
**Text**. - Select a random point in the middle of the triangle.
- Enter your full name.

##### Task 13 Label the Distance on Each Side of the Triangle.

- Scroll up or down to the section
**Measure**in the toolbox. - Select the tool
**Distance or Length**. - Select the two points,
**P**and**Q**, to show the distance in between. - Select the two points,
**Q**and**R**, to show the distance in between. - Select the two points,
**R**and**P**, to show the distance in between.

##### Task 14 Send Mr. Quach the Result

- You must place your full name on the drawing.
- Take a snapshot or photo of your work.
- The result should look as shown in
**Appendix 3B**below.

- The result should look as shown in
- Send the resulting image to Mr. Quach by email.
- Click here for his email address.

- 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

- Table of Contents | In-class Geometry Book